Fetching the paper…
Reading the bibliography…
We make a detailed analysis of the spontaneous $Z_{2}$-symmetry breaking in the two dimensional real $\phi^{4}$ theory with the tensor renormalization group approach, which allows us to take the thermodynamic limit easily and determine the physical observables without statistical uncertainties.
L. Onsager, Crystal statistics. 1. A Two-dimensional model with an order disorder transition , Phys. Rev. 65
1944
Earlier work this paper cites.
M. Abramowitz and I. A. Stegun, Handbook of mathematical functions: with formulas, graphs, and mathematical tables , vol. 55. Courier Corporation, 1965
1965
Earlier work this paper cites.
S. R. Coleman, There are no Goldstone bosons in two-dimensions , Commun. Math. Phys. 31
1973
Earlier work this paper cites.
S.-J. Chang, Existence of a second-order phase transition in a two-dimensional φ 4 \varphi^{4} field theory , Phys. Rev. D13
1976
Earlier work this paper cites.
M. Funke, U. Kaulfuss and H. Kummel, Approaching the Critical Region of Two-dimensional ϕ 4 \phi^{4} Quantum Field Theory With Postgaussian Approximations , Phys. Rev. D35
1987
Earlier work this paper cites.
A. Harindranath and J. P. Vary, Solving two-dimensional φ 4 \varphi^{4} theory by discretized light-lront quantization , Phys. Rev. D36
1987
Earlier work this paper cites.
A. Harindranath and J. P. Vary, Stability of the Vacuum in Scalar Field Models in 1 + 1 Dimensions , Phys. Rev. D37
1988
Earlier work this paper cites.
L. Polley and U. Ritschel, Second Order Phase Transition in λ ϕ 4 \lambda\phi^{4} in Two-dimensions With Nongaussian Variational Approximation , Phys. Lett. B221
1989
Earlier work this paper cites.
C. M. Bender, S. Pinsky and B. Van de Sande, Spontaneous symmetry breaking of (1+1)-dimensional ϕ 4 \phi^{4} in light-front field theory , Phys. Rev. D48
1993
Earlier work this paper cites.
J. M. Hauser, W. Cassing, A. Peter and M. H. Thoma, Connected Green function approach to ground state symmetry breaking in Φ ( 1 + 1 ) 4 \Phi_{(1+1)}^{4} -theory , Z. Phys. A353
1996
Earlier work this paper cites.
T. Sugihara, Variational calculation of the effective action , Phys. Rev. D57
1998
Earlier work this paper cites.
D. Lee, Introduction to spherical field theory , Phys. Lett. B439
1998
Earlier work this paper cites.
P. J. Marrero, E. A. Roura and D. Lee, A non-perturbative analysis of symmetry breaking in two-dimensional ϕ 4 \phi^{4} theory using periodic field methods , Phys. Lett. B471
1999
Earlier work this paper cites.
D. Lee, N. Salwen and D. Lee, The Diagonalization of quantum field Hamiltonians , Phys. Lett. B503
2001
Earlier work this paper cites.
H. Hansen, G. Chanfray, D. Davesne and P. Schuck, Random phase approximation and extensions applied to a bosonic field theory , Eur. Phys. J. A14
2002
Earlier work this paper cites.
T. Sugihara, Density matrix renormalization group in a two-dimensional λ ϕ 4 \lambda\phi^{4} Hamiltonian lattice model , JHEP 05
2004
Earlier work this paper cites.
M. Levin and C. P. Nave, Tensor renormalization group approach to 2D classical lattice models , Phys. Rev. Lett. 99
2007
Cited alongside, same era.
2008
Cited alongside, same era.
2009
Cited alongside, same era.
2009
Cited alongside, same era.
C. Wozar and A. Wipf, Supersymmetry Breaking in Low Dimensional Models , Annals Phys. 327
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
G. Evenbly and G. Vidal, Tensor Network Renormalization , Phys. Rev. Lett. 115
2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2012
Cited alongside, same era.
Y. Shimizu, Analysis of the ( 1 + 1 ) (1+1) -dimensional lattice ϕ 4 \phi^{4} model using the tensor renormalization group , Chin. J. Phys. 50
2012
Cited alongside, same era.
2013
Cited alongside, same era.
Z.-C. Gu, Efficient simulation of Grassmann tensor product states , Phys. Rev. B88
2013
Cited alongside, same era.
2013
Cited alongside, same era.
2014
Cited alongside, same era.
2014
Cited alongside, same era.
2014
Cited alongside, same era.
2015
Later among the works it cites.
2016
Later among the works it cites.
H. Kawauchi and S. Takeda, Tensor renormalization group analysis of CP(N-1) model , Phys. Rev. D93
2016
Later among the works it cites.
2016
Later among the works it cites.
N. Nakamoto and S. Takeda, Computation of correlation functions by tensor renormalization group method , Sci. Rep. Kanazawa Univ. 60
2016
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2018
Closest in time.
2018
Closest in time.
2018
Closest in time.