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We review the theory and applications of complex stochastic quantization to the quantum many-body problem.
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2010
Cited alongside, same era.
V. Ambegaokar, M. Troyer, Estimating errors reliably in Monte Carlo simulations of the Ehrenfest model , Am. J. Phys. 78 (2010) 150, 0906.0943
2010
Cited alongside, same era.
2016
Later among the works it cites.
T. Hayata, Y. Hidaka, Y. Tanizaki, Complex saddle points and the sign problem in complex Langevin simulation , Nucl. Phys. B 911 (2016) 94, 1511.02437
2016
Later among the works it cites.
J. Wosiek, Beyond complex Langevin equations: from simple examples to positive representation of Feynman path integrals directly in the Minkowski time , JHEP 04 (2016) 146, 1511.09114
2016
Later among the works it cites.
L. L. Salcedo, Gibbs sampling of complex-valued distributions , Phys. Rev. D 94 (2016) 074503
2016
Later among the works it cites.
K. Nagata, J. Nishimura, S. Shimasaki, Argument for justification of the complex Langevin method and the condition for correct convergence , Phys. Rev. D 94 (2016) 114515
2016
Later among the works it cites.
L. L. Salcedo, Does the complex Langevin method give unbiased results? , Phys. Rev. D 94 (2016) 114505
2016
Later among the works it cites.
G. Aarts, E. Seiler, D. Sexty, I. O. Stamatescu, On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant (2016), 1611.02931
2016
Later among the works it cites.
G. Aarts, E. Seiler, D. Sexty, I.-O. Stamatescu, On complex Langevin dynamics and zeroes of the measure I: Formal proof and simple models (2016), 1611.02930
2016
Later among the works it cites.
S. Shimasaki, K. Nagata, J. Nishimura, On the condition for correct convergence in the complex Langevin method (2016), 1611.10170
2016
Later among the works it cites.
K. Nagata, J. Nishimura, S. Shimasaki, Justification of the complex Langevin method with the gauge cooling procedure , PTEP 2016 (2016) 013B01, 1508.02377
2016
Later among the works it cites.
K. Nagata, J. Nishimura, S. Shimasaki, Gauge cooling for the singular-drift problem in the complex Langevin method - a test in Random Matrix Theory for finite density QCD , JHEP 07 (2016) 073, 1604.07717
2016
Later among the works it cites.
G. Aarts, F. Attanasio, B. Jäger, D. Sexty, Complex Langevin in Lattice QCD: dynamic stabilisation and the phase diagram , Acta Phys. Polon. Supp. 9 (2016) 621, 1607.05642
2016
Later among the works it cites.
F. Attanasio, B. Jäger, Testing dynamic stabilisation in complex Langevin simulations , PoS LATTICE2016 (2016) 053, 1610.09298
2016
Later among the works it cites.
Y. Ito, J. Nishimura, The complex Langevin analysis of spontaneous symmetry breaking induced by complex fermion determinant , Journal of High Energy Physics 2016 (2016) 9
2016
Later among the works it cites.
T. Ichihara, K. Nagata, K. Kashiwa, Test for a universal behavior of Dirac eigenvalues in the complex Langevin method , Phys. Rev. D 93 (2016) 094511
2016
Later among the works it cites.
G. Aarts, Introductory lectures on lattice QCD at nonzero baryon number , J, Phys. Conf. Ser. 706 (2016) 022004
2016
Later among the works it cites.
K. Nagata, J. Nishimura, S. Shimasaki, Testing a generalized cooling procedure in the complex Langevin simulation of chiral Random Matrix Theory , PoS LATTICE2015 (2016)
2016
Later among the works it cites.
D. Li, Comparison between Fermion Bag Approach and Complex Langevin Dynamics for Massive Thirring Model at Finite Density in 0 + 1 Dimensions (2016), 1605.04623
2016
Later among the works it cites.
D. Li, Fermion bag approach for the massive Thirring model at finite density , Phys. Rev. D 94 (2016) 114501
2016
Later among the works it cites.
G. Aarts, F. Attanasio, B. Jäger, D. Sexty, The QCD phase diagram in the limit of heavy quarks using complex Langevin dynamics , JHEP 09 (2016) 087, 1606.05561
2016
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F. Attanasio, G. Aarts, B. Jaeger, E. Seiler, D. Sexty, I.-O. Stamatescu, Towards the heavy dense QCD phase diagram using Complex Langevin simulations , PoS LATTICE2015 (2016)
2016
Later among the works it cites.
G. Aarts, F. Attanasio, B. Jäger, D. Sexty, Results on the heavy-dense QCD phase diagram using complex Langevin (2016), 1610.04401
2016
Later among the works it cites.
G. Aarts, F. Attanasio, B. Jäger, E. Seiler, D. Sexty, I.-O. Stamatescu, Insights into the heavy dense QCD phase diagram using Complex Langevin simulations , PoS LATTICE2015 (2016) 155, 1510.09100
2016
Later among the works it cites.
J. Bloch, J. Mahr, S. Schmalzbauer, Complex Langevin in low-dimensional QCD: the good and the not-so-good , PoS LATTICE2015 (2016) 158, 1508.05252
2016
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D. K. Sinclair, J. B. Kogut, Exploring Complex-Langevin Methods for Finite-Density QCD , PoS LATTICE2015 (2016) 153, 1510.06367
2016
Later among the works it cites.
D. K. Sinclair, J. B. Kogut, Complex Langevin for Lattice QCD at T = 0 T=0 and μ ≥ 0 \mu\geq 0 , PoS LATTICE2016 (2016) 026, 1611.02312
2016
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K. Nagata, H. Matsufuru, J. Nishimura, S. Shimasaki, Gauge cooling for the singular-drift problem in the complex Langevin method — an application to finite density QCD (2016), 1611.08077
2016
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Y. Ito, J. Nishimura, Spontaneous symmetry breaking induced by complex fermion determinant — yet another success of the complex Langevin method (2016), 1612.00598
2016
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C. A. Tracy, H. Widom, On the ground state energy of the delta-function Fermi gas , J. Math. Phys. 57 (2016) 103301
2016
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O. Goulko, M. Wingate, Numerical study of the unitary Fermi gas across the superfluid transition , Phys. Rev. A 93 (2016) 053604, 1507.08230
2016
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M. Giuliani, C. Gattringer, Density of States FFA analysis of SU(3) lattice gauge theory at a finite density of color sources , Phys. Lett. B 773 (2017) 166
2017
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E. Huffman, S. Chandrasekharan, Fermion bag approach to Hamiltonian lattice field theories in continuous time , Phys. Rev. D 96 (2017) 114502
2017
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Z.-C. Wei, Semigroup Approach to the Sign Problem in Quantum Monte Carlo Simulations (2017), 1712.09412
2017
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Z.-X. Li, Y.-F. Jiang, S.-K. Jian, H. Yao, Fermion-induced quantum critical points , Nature Commun. 8 (2017) 314
2017
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S.-K. Jian, H. Yao, Fermion-induced quantum critical points in three-dimensional Weyl semimetals , Phys. Rev. B 96 (2017) 155112
2017
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T. Hayata, A. Yamamoto, Quantum Monte Carlo simulation of a two-dimensional Majorana lattice model , Phys. Rev. B 96 (2017) 035129
2017
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J. N. Guenther, R. Bellwied, S. Borsanyi, Z. Fodor, S. D. Katz, A. Pasztor, C. Ratti, K. K. Szabó, The QCD equation of state at finite density from analytical continuation , Nucl. Phys. A 967 (2017) 720, 1607.02493
2017
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L. Rammelmüller, W. J. Porter, J. E. Drut, J. Braun, Surmounting the sign problem in nonrelativistic calculations: A case study with mass-imbalanced fermions , Phys. Rev. D 96 (2017) 094506
2017
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A. Bazavov, et al., QCD equation of state to 𝒪 ( μ B 6 ) \mathcal{O}(\mu_{B}^{6}) from lattice QCD , Phys. Rev. D 95 (2017) 054504, 1701.04325
2017
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S. Sharma, The QCD Equation of state and critical end-point estimates at 𝒪 ( μ B 6 ) \mathcal{O}(\mu_{B}^{6}) , Nucl. Phys. A 967 (2017) 728, 1704.05969
2017
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A. Alexandru, G. Başar, P. F. Bedaque, G. Ridgway, Schwinger-Keldysh formalism on the lattice: A faster algorithm and its application to field theory , Phys. Rev. D 95 (2017) 114501
2017
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A. Alexandru, G. Başar, P. F. Bedaque, N. C. Warrington, Tempered transitions between thimbles , Phys. Rev. D 96 (2017) 034513
2017
Later among the works it cites.
A. Alexandru, G. Başar, P. F. Bedaque, G. W. Ridgway, N. C. Warrington, Monte Carlo calculations of the finite density Thirring model , Phys. Rev. D 95 (2017) 014502
2017
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M. V. Ulybyshev, S. N. Valgushev, Path integral representation for the Hubbard model with reduced number of Lefschetz thimbles (2017), 1712.02188
2017
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M. Fukuma, N. Umeda, Parallel tempering algorithm for integration over Lefschetz thimbles , PTEP 2017 (2017) 073B01, 1703.00861
2017
Later among the works it cites.
Y. Mori, K. Kashiwa, A. Ohnishi, Toward solving the sign problem with path optimization method , Phys. Rev. D 96 (2017) 111501
2017
Later among the works it cites.
E. Seiler, J. Wosiek, Positive Representations of a Class of Complex Measures , J. Phys. A 50 (2017) 495403, 1702.06012
2017
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G. Aarts, E. Seiler, D. Sexty, I.-O. Stamatescu, Complex Langevin dynamics and zeroes of the fermion determinant , JHEP 2017 (2017) 44
2017
Later among the works it cites.
A. C. Loheac, J. E. Drut, Third-order perturbative lattice and complex Langevin analyses of the finite-temperature equation of state of nonrelativistic fermions in one dimension , Phys. Rev. D 95 (2017) 094502
2017
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S. D. Katz, F. Niedermayer, D. Nógrádi, C. Török, Comparison of algorithms for solving the sign problem in the O(3) model in 1 + 1 1+1 dimensions at finite chemical potential , Phys. Rev. D 95 (2017) 054506
2017
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J. Bloch, J. Glesaaen, O. Philipsen, J. Verbaarschot, S. Zafeiropoulos, Complex Langevin simulations of a finite density matrix model for QCD , EPJ Web Conf. 137 (2017) 07030, 1612.04621
2017
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H. Fujii, S. Kamata, Y. Kikukawa, Performance of Complex Langevin Simulation in 0+1 dimensional massive Thirring model at finite density (2017), 1710.08524
2017
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J. Bloch, J. Meisinger, S. Schmalzbauer, Reweighted complex Langevin and its application to two-dimensional QCD , PoS LATTICE2016 (2017) 046, 1701.01298
2017
Later among the works it cites.
J. Bloch, Reweighting complex Langevin trajectories , Phys. Rev. D 95 (2017) 054509
2017
Later among the works it cites.
S. Schmalzbauer, J. Bloch, Complex Langevin Dynamics In 1+1d QCD At Non-Zero Densities , PoS LATTICE2016 (2017)
2017
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S. Kemler, M. Pospiech, J. Braun, Formation of self-bound states in a one-dimensional nuclear model: A renormalization group based density functional study , J. Phys. G 44 (2017) 015101
2017
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L. Rammelmüller, W. J. Porter, J. Braun, J. E. Drut, Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices and particle-partition entanglement , Phys. Rev. A 96 (2017) 033635
2017
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C. W. Johnson, W. E. Ormand, K. S. McElvain, H. Shan, BIGSTICK: A flexible configuration-interaction shell-model code (2018), 1801.08432
2018
Later among the works it cites.
T. Sato, F. F. Assaad, T. Grover, Quantum Monte Carlo Simulation of Frustrated Kondo Lattice Models , Phys. Rev. Lett. 120 (2018) 107201
2018
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C. Gattringer, D. Göschl, T. Sulejmanpasic, Dual simulation of the 2d U(1) gauge Higgs model at topological angle θ = π \theta=\pi\, : Critical endpoint behavior , Nucl. Phys. B 935 (2018) 344, 1807.07793
2018
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C. Gattringer, Baryon bags in strong coupling QCD , Phys. Rev. D 97 (2018) 074506
2018
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V. Ayyar, S. Chandrasekharan, J. Rantaharju, Benchmark results in the 2D lattice Thirring model with a chemical potential , Phys. Rev. D 97 (2018) 054501
2018
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S. Bluecher, J. M. Pawlowski, M. Scherzer, M. Schlosser, I.-O. Stamatescu, S. Syrkowski, F. P. G. Ziegler, Reweighting Lefschetz Thimbles , SciPost Phys. 5 (2018) 044, 1803.08418
2018
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A. Alexandru, G. Başar, P. F. Bedaque, H. Lamm, S. Lawrence, Finite density QED 1 + 1 {\mathrm{QED}}_{1+1} near Lefschetz thimbles , Phys. Rev. D 98 (2018) 034506
2018
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J. Nishimura, S. Shimasaki, Unification of the complex Langevin method and the Lefschetz thimble method , EPJ Web Conf. 175 (2018) 07018, 1710.07027
2018
Later among the works it cites.
Ohnishi, Akira, Mori, Yuto, Kashiwa, Kouji, Path optimization method for the sign problem , EPJ Web Conf. 175 (2018) 07043
2018
Later among the works it cites.
Y. Mori, K. Kashiwa, A. Ohnishi, Application of a neural network to the sign problem via the path optimization method , Progress of Theoretical and Experimental Physics 2018 (2018), 023B04, https://academic.oup.com/ptep/article-pdf/2018/2/023B04/23956652/ptx191.pdf
2018
Later among the works it cites.
F. Bursa, M. Kroyter, A simple approach towards the sign problem using path optimisation , Journal of High Energy Physics 2018 (2018) 54
2018
Later among the works it cites.
A. Alexandru, P. F. Bedaque, H. Lamm, S. Lawrence, Finite-density Monte Carlo calculations on sign-optimized manifolds , Phys. Rev. D 97 (2018) 094510
2018
Later among the works it cites.
A. Alexandru, P. F. Bedaque, H. Lamm, S. Lawrence, N. C. Warrington, Fermions at Finite Density in 2 + 1 2+1 Dimensions with Sign-Optimized Manifolds , Phys. Rev. Lett. 121 (2018) 191602
2018
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L. L. Salcedo, Positive representations of complex distributions on groups , J. Phys. A 51 (2018) 505401, 1805.01698
2018
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J. Wosiek, B. Ruba, Beyond Complex Langevin Equations: a Progress Report , in: 36th International Symposium on Lattice Field Theory (Lattice 2018) East Lansing, MI, United States, July 22-28, 2018 (2018), 1810.11519
2018
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E. Seiler, Status of Complex Langevin , EPJ Web Conf. 175 (2018) 01019, 1708.08254
2018
Later among the works it cites.
M. Scherzer, E. Seiler, D. Sexty, I.-O. Stamatescu, Complex Langevin: Boundary terms and application to QCD (2018), 1810.09713
2018
Later among the works it cites.
K. Nagata, J. Nishimura, S. Shimasaki, Testing the criterion for correct convergence in the complex Langevin method , Journal of High Energy Physics 2018 (2018) 4
2018
Later among the works it cites.
Attanasio, Felipe, Jäger, Benjamin, Improved convergence of Complex Langevin simulations , EPJ Web Conf. 175 (2018) 07039
2018
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F. Attanasio, B. Jäger, Stabilising complex Langevin simulations (2018), 1810.12973
2018
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Y. Ito, J. Nishimura, Comparative studies of the deformation techniques for the singular-drift problem in the complex Langevin method , EPJ Web Conf. 175 (2018) 07019
2018
Later among the works it cites.
K. Nagata, J. Nishimura, S. Shimasaki, Complex Langevin simulation of QCD at finite density and low temperature using the deformation technique , EPJ Web Conf. 175 (2018) 07017, 1710.07416
2018
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D. K. Sinclair, J. B. Kogut, Complex Langevin Simulations of QCD at Finite Density. Progress Report , EPJ Web Conf. 175 (2018) 07031, 1710.08465
2018
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D. K. Sinclair, J. B. Kogut, Complex Langevin for Lattice QCD , PoS LATTICE2018 (2018) 143, 1810.11880
2018
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K. Nagata, J. Nishimura, S. Shimasaki, Complex Langevin calculations in finite density QCD at large μ / T \mu/T with the deformation technique , Phys. Rev. D 98 (2018) 114513
2018
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Y. Ito, H. Matsufuru, J. Nishimura, S. Shimasaki, A. Tsuchiya, S. Tsutsui, Exploring the phase diagram of finite density QCD at low temperature by the complex Langevin method (2018), 1811.12688
2018
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S. Tsutsui, Y. Ito, H. Matsufuru, J. Nishimura, S. Shimasaki, A. Tsuchiya, Can the complex Langevin method see the deconfinement phase transition in QCD at finite density? (2018), 1811.07647
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J. Bloch, O. Schenk, Selected inversion as key to a stable Langevin evolution across the QCD phase boundary , EPJ Web of Conferences 175 (2018) 07003
2018
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P. Basu, K. Jaswin, A. Joseph, Complex Langevin dynamics in large N N unitary matrix Models , Phys. Rev. D 98 (2018) 034501
2018
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K. N. Anagnostopoulos, T. Azuma, Y. Ito, J. Nishimura, S. K. Papadoudis, Complex Langevin analysis of the spontaneous symmetry breaking in dimensionally reduced super Yang-Mills models , Journal of High Energy Physics 2018 (2018)
2018
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J. E. Drut, Advances in non-relativistic matter via complex Langevin approaches , J. Phys. Conf. Ser. 1041 (2018) 012005
2018
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L. Rammelmüller, A. C. Loheac, J. E. Drut, J. Braun, Finite-Temperature Equation of State of Polarized Fermions at Unitarity , Phys. Rev. Lett. 121 (2018) 173001
2018
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L. Rammelmüller, J. E. Drut, J. Braun, A complex Langevin approach to ultracold fermions , J. Phys. Conf. Ser. 1041 (2018) 012006
2018
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H. Singh, Worldline approach to few-body physics on the lattice , PoS LATTICE2018 (2018) 158, 1812.02364
2018
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A. C. Loheac, J. Braun, J. E. Drut, Equation of state of non-relativistic matter from automated perturbation theory and complex Langevin , EPJ Web of Conferences 175 (2018) 03007
2018
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C. R. Shill, J. E. Drut, Particle Projection Using a Complex Langevin Method , EPJ Web of Conferences 175 (2018) 03003
2018
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A. C. Loheac, J. Braun, J. E. Drut, Polarized fermions in one dimension: Density and polarization from complex Langevin calculations, perturbation theory, and the virial expansion , Phys. Rev. D 98 (2018) 054507
2018
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A. Alexandru, P. F. Bedaque, N. C. Warrington, Spin polarized nonrelativistic fermions in 1 + 1 1+1 dimensions , Phys. Rev. D 98 (2018) 054514
2018
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R. Rossi, T. Ohgoe, K. Van Houcke, F. Werner, Resummation of Diagrammatic Series with Zero Convergence Radius for Strongly Correlated Fermions , Phys. Rev. Lett. 121 (2018) 130405
2018
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G. C. Strinati, P. Pieri, G. Röpke, P. Schuck, M. Urban, The BCS–BEC crossover: From ultra-cold Fermi gases to nuclear systems , Phys. Rep. 738 (2018) 1
2018
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B. Frank, J. Lang, W. Zwerger, Universal Phase Diagram and Scaling Functions of Imbalanced Fermi Gases , JETP 127 (2018) 812
2018
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Z.-X. Li, H. Yao, Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications , Ann. Rev. Condensed Matter Phys. 10 (2019) 337, 1805.08219
2019
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B. B. Brandt, G. Endrodi, Reliability of Taylor expansions in QCD , Phys. Rev. D 99 (2019) 014518, 1810.11045
2019
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A. Ohnishi, Y. Mori, K. Kashiwa, Path optimization method with use of neural network for the sign problem in field theories , PoS LATTICE2018 (2019) 023
2019
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Y. Mori, K. Kashiwa, A. Ohnishi, Path optimization in 0 + 1 0+1 D QCD at finite density , Prog. Theor. Exp. Phys. 2019 (2019), 113B01, https://academic.oup.com/ptep/article-pdf/2019/11/113B01/33450851/ptz111.pdf
2019
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K. Kashiwa, Y. Mori, A. Ohnishi, Controlling the model sign problem via the path optimization method: Monte Carlo approach to a QCD effective model with Polyakov loop , Phys. Rev. D 99 (2019) 014033
2019
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K. Kashiwa, Y. Mori, A. Ohnishi, Application of the path optimization method to the sign problem in an effective model of QCD with a repulsive vector-type interaction , Phys. Rev. D 99 (2019) 114005
2019
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G. G. Batrouni, R. T. Scalettar, Langevin simulations of a long-range electron-phonon model , Phys. Rev. B 99 (2019) 035114
2019
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M. Scherzer, E. Seiler, D. Sexty, I.-O. Stamatescu, Complex Langevin and boundary terms , Phys. Rev. D 99 (2019) 014512
2019
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F. Attanasio, B. Jäger, Dynamical stabilisation of complex Langevin simulations of QCD , Eur. Phys. J. C 79 (2019) 16
2019
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L. L. Salcedo, E. Seiler, Schwinger-Dyson equations and line integrals , J. Phys. A 52 (2019) 035201, 1809.06888
2019
Closest in time.
J. B. Kogut, D. K. Sinclair, Applying complex Langevin simulations to lattice QCD at finite density , Phys. Rev. D 100 (2019) 054512
2019
Closest in time.
D. Sexty, Calculating the equation of state of dense quark-gluon plasma using the complex Langevin equation , Phys. Rev. D 100 (2019) 074503
2019
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A. Joseph, A. Kumar, Complex Langevin simulations of zero-dimensional supersymmetric quantum field theories , Phys. Rev. D 100 (2019) 074507
2019
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J. Nishimura, A. Tsuchiya, Complex Langevin analysis of the space-time structure in the Lorentzian type IIB matrix model , Journal of High Energy Physics 2019 (2019) 77
2019
Closest in time.
C. Berger, J. Drut, Interacting Bosons at Finite Angular Momentum Via Complex Langevin , PoS LATTICE2018 (2019) 244
2019
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H. Singh, S. Chandrasekharan, Few-body physics on a spacetime lattice in the worldline approach , Phys. Rev. D 99 (2019) 074511
2019
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S. Jensen, C. N. Gilbreth, Y. Alhassid, The pseudogap regime in the unitary Fermi gas , Eur. Phys. J. ST 227 (2019) 2241, 1807.03913
2019
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W. Detmold, G. Kanwar, M. L. Wagman, N. C. Warrington, Path integral contour deformations for noisy observables , Phys. Rev. D 102 (2020) 014514
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M. Scherzer, E. Seiler, D. Sexty, I.-O. Stamatescu, Controlling complex Langevin simulations of lattice models by boundary term analysis , Phys. Rev. D 101 (2020) 014501
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C. Zhenning, Y. Di, X. Dong, How does Gauge Cooling Stabilize Complex Langevin? , Communications in Computational Physics 27 (2020) 1344
2020
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F. Attanasio, J. E. Drut, Thermodynamics of spin-orbit-coupled bosons in two dimensions from the complex Langevin method , Phys. Rev. A 101 (2020) 033617
2020
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L. Rammelmüller, J. E. Drut, J. Braun, Pairing patterns in one-dimensional spin- and mass-imbalanced Fermi gases , SciPost Phys. 9 (2020) 14
2020
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R. He, N. Li, B.-N. Lu, D. Lee, Superfluid condensate fraction and pairing wave function of the unitary Fermi gas , Phys. Rev. A 101 (2020) 063615
2020
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J. R. Klauder, Coherent-state Langevin equations for canonical quantum systems with applications to the quantized Hall effect , Phys. Rev. A 29 (1984) 2036
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A. Gocksch, Simulating Lattice QCD at Finite Density , Phys. Rev. Lett. 61 (1988) 2054
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G. Aarts, Can Stochastic Quantization Evade the Sign Problem? The Relativistic Bose Gas at Finite Chemical Potential , Phys. Rev. Lett. 102 (2009) 131601, 0810.2089
2089
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