Fetching the paper…
Reading the bibliography…
In quantizing classical mechanical systems one often sums over the classical trajectories as in localization formulas, but also takes into account the contributions of the "instanton gas": a set of approximate solutions of the equations of motion.
H.Z. Bethe, The theory of metals I. Eigenvalues and Eigenfunctions of the Linear Atomic Chain , Physics 71 (1931) 205 https://doi.org/10.1007/BF01341708
1931
Earlier work this paper cites.
C. N. Yang and C. P. Yang, One-dimensional chain of anisotropic spin spin interactions. 1. Proof of Bethe’s hypothesis for ground state in a finite system , Phys. Rev. 150
1966
Earlier work this paper cites.
C. Bender, T. T. Wu, Anharmonic Oscillator , Phys. Rev. , 184.5
1969
Earlier work this paper cites.
M. C. Gutzwiller, Periodic Orbits and Classical Quantization Conditions , JMP 12
1971
Earlier work this paper cites.
S. W. Hawking, Commun. Math. Phys. 43 (1975), 199
1975
Earlier work this paper cites.
C. G. Callan, Jr. and S. R. Coleman, The Fate of the False Vacuum. 2. First Quantum Corrections , Phys. Rev. D 16
1977
Earlier work this paper cites.
A. M. Polyakov, Quark Confinement and Topology of Gauge Groups , Nucl. Phys. B 120
1977
Earlier work this paper cites.
E. Witten, Some Exact Multi - Instanton Solutions of Classical Yang-Mills Theory , Phys. Rev. Lett. 38
1977
Earlier work this paper cites.
F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz and D. Sternheimer, Deformation Theory and Quantization. 1. Deformations of Symplectic Structures , Annals Phys. 111
1978
Earlier work this paper cites.
C. G. Callan, Jr., R. F. Dashen and D. J. Gross, Toward a Theory of the Strong Interactions , Phys. Rev. D 17
1978
Earlier work this paper cites.
S. R. Coleman, The Uses of Instantons , Subnucl. Ser. 15
1979
Earlier work this paper cites.
E. Bogomolny, Calculation of instanton-anti-instanton contributions in quantum mechanics , Phys. Lett. 91B
1980
Earlier work this paper cites.
I. B. Frenkel and V. G. Kac, Basic representations of affine Lie algebras and dual resonance models , Inv. Math. 62
1980
Earlier work this paper cites.
J. L. Richard and A. Rouet, Complex Saddle Points in the Double Well Oscillator , Nucl. Phys. B 183
1981
Earlier work this paper cites.
J. L. Richard and A. Rouet, The Saddle Point Method for the Double Well Anharmonic Oscillator , Phys. Lett. 98B
1981
Earlier work this paper cites.
J. L. Richard and A. Rouet, Complex Saddle Points Versus Dilute Gas Approximation in the Double Well Anharmonic Oscillator , Nucl. Phys. B 185
1981
Earlier work this paper cites.
A. B. Zamolodchikov, Infinite Additional Symmetries in Two-Dimensional Conformal Quantum Field Theory , Theor. Math. Phys. 65
1985
Earlier work this paper cites.
V.A. Fateev, A.B. Zamolodchikov, Operator Algebra and Correlation Functions in the Two-Dimensional Wess-Zumino S U ( 2 ) x S U ( 2 ) SU(2)xSU(2) Chiral Model , Sov.J.Nucl.Phys. 43 (1986) 657-664, Yad.Fiz. 43 (1986) 1031-1044
1986
Earlier work this paper cites.
N. J. Hitchin, Stable bundles and integrable systems , Duke Math. J. 54
1987
Earlier work this paper cites.
A. M. Polyakov, Gauge Fields and Strings , Contemp. Concepts Phys. 3
1987
Earlier work this paper cites.
A. Alekseev, L. D. Faddeev and S. L. Shatashvili, Quantization of symplectic orbits of compact Lie groups by means of the functional integral , J. Geom. Phys. 5
1988
Earlier work this paper cites.
V. I. Arnold, A. N. Varchenko, S. M. Gusein-Zade, Singularities of Differentiable Maps. Volume II: Monodromy and Asymptotic Integrals , Bikhäuser, 1988, ISBN 978-1-4612-3940-6
1988
Earlier work this paper cites.
J. Zinn-Justin, Quantum field theory and critical phenomena , Int. Ser. Monogr. Phys. 77
1989
Earlier work this paper cites.
A. Bilal, V. Fock, I. Kogan, On the origin of W algebras , Nucl. Phys. B 359
1991
Earlier work this paper cites.
L. D. Faddeev and A. A. Slavnov, Gauge Fields. Introduction To Quantum Theory , Front. Phys. 50
1991
Earlier work this paper cites.
M. Rocek and E. P. Verlinde, Duality, quotients, and currents , Nucl. Phys. B 373
1992
Earlier work this paper cites.
E. K. Sklyanin, Quantum inverse scattering method. Selected topics , In: Quantum Group and Quantum Integrable Systems: Nankai Lectures on Mathematical Physics : Nankai Institute of Mathematics, China 2-18 April 1991 (World Scientific 1992), pp 63-97 [hep-th/9211111]
1992
Earlier work this paper cites.
S. Cecotti and C. Vafa, On classification of N=2 supersymmetric theories , Commun. Math. Phys. 158
1993
Earlier work this paper cites.
A. Losev, Descendants constructed from matter field in topological Landau-Ginzburg theories coupled to topological gravity , Theor. Math. Phys. 95
1993
Cited alongside, same era.
C. Vafa, Topological mirrors and quantum rings , in Mirror symmetry I
1993
Cited alongside, same era.
E. Witten, Phases of N = 2 theories in two dimensions , Nucl. Phys. B 403
1993
Cited alongside, same era.
A. Gorsky and N. Nekrasov, Hamiltonian systems of Calogero type and two-dimensional Yang-Mills theory , Nucl. Phys. B 414
1994
Cited alongside, same era.
H. Nakajima, Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras , Duke Math. J. 76 (1994), no. 2, 365-416
1994
Cited alongside, same era.
S. Gukov, C. Vafa and E. Witten, CFT’s from Calabi-Yau four folds , Nucl. Phys. B 584
2001
Later among the works it cites.
A. Kapustin and D. Orlov, Remarks on A branes, mirror symmetry, and the Fukaya category , J. Geom. Phys. 48
2003
Later among the works it cites.
M. Kontsevich, Deformation quantization of Poisson manifolds 1 , Lett. Math. Phys. 66
2003
Later among the works it cites.
N. A. Nekrasov, Seiberg-Witten prepotential from instanton counting , Adv. Theor. Math. Phys. 7
2003
Later among the works it cites.
N. Nekrasov, On the BPS/CFT correspondence , Lecture at the University of Amsterdam string theory group seminar (Feb. 3, 2004)
2004
Later among the works it cites.
N. Nekrasov and A. Okounkov, Seiberg-Witten theory and random partitions , Prog. Math. 244
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1994
Cited alongside, same era.
N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD , Nucl. Phys. B 431
1994
Cited alongside, same era.
L. D. Faddeev, Algebraic aspects of Bethe Ansatz , Int. J. Mod. Phys. A 10
1995
Cited alongside, same era.
A. Gorsky, I. Krichever, A. Marshakov, A. Mironov and A. Morozov, Integrability and Seiberg-Witten exact solution , Phys. Lett. B 355
1995
Cited alongside, same era.
M. Kontsevich, Enumeration of rational curves via toric actions . In: The moduli spaces of curves, R. Dijkgraaf, C. Faber, G. van der Geer (eds.), Progress in Math. 129, Birkhäuser, 1995, 335–368
1995
Cited alongside, same era.
R. Donagi and E. Witten, Supersymmetric Yang-Mills theory and integrable systems , Nucl. Phys. B 460
1996
Cited alongside, same era.
E. J. Martinec and N. P. Warner, Integrable systems and supersymmetric gauge theory , Nucl. Phys. B 459
1996
Cited alongside, same era.
2006
Later among the works it cites.
2007
Later among the works it cites.
A. Kapustin and E. Witten, Electric-Magnetic Duality And The Geometric Langlands Program , Commun. Num. Theor. Phys. 1
2007
Later among the works it cites.
A. A. Gerasimov and S. L. Shatashvili, Higgs Bundles, Gauge Theories and Quantum Groups , Commun. Math. Phys. 277
2008
Later among the works it cites.
S. Gukov and E. Witten, Branes and Quantization , Adv. Theor. Math. Phys. 13
2009
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
E. Witten, Analytic Continuation Of Chern-Simons Theory , AMS/IP Stud. Adv. Math. 50
2011
Later among the works it cites.
2012
Later among the works it cites.
D. Gaiotto, 𝒩 {\mathcal{N}} =2 dualities , JHEP 1208
2012
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2016
Later among the works it cites.
N. Nekrasov and N. S. Prabhakar, Spiked Instantons from Intersecting D-branes , Nucl. Phys. B 914
2016
Later among the works it cites.
A. V. Turbiner, One-dimensional quasi-exactly solvable Schrödinger equations , Phys. Rept. 642
2016
Later among the works it cites.
2017
Later among the works it cites.