Built on

T. Misumi, Y. Tanizaki and M. Ünsal, Fractional θ \theta angle, ’t Hooft anomaly, and quantum instantons in charge- q q multi-flavor Schwinger model , JHEP 07
Original
1905
Earlier work this paper cites.
L. Funcke, K. Jansen and S. Kühn, Topological vacuum structure of the Schwinger model with matrix product states , Phys. Rev. D 101
Original
1908
Earlier work this paper cites.
G. Magnifico, M. Dalmonte, P. Facchi, S. Pascazio, F.V. Pepe and E. Ercolessi, Real Time Dynamics and Confinement in the ℤ n \mathbb{Z}_{n} Schwinger-Weyl lattice model for 1+1 QED , Quantum 4
Original
1909
Earlier work this paper cites.
T. Matsubara, A New approach to quantum statistical mechanics , Prog. Theor. Phys. 14
1955
Earlier work this paper cites.
J.S. Schwinger, Gauge Invariance and Mass. 2. , Phys. Rev. 128
1962
Earlier work this paper cites.
S. Mandelstam, Soliton Operators for the Quantized Sine-Gordon Equation , Phys. Rev. D 11
1975
Earlier work this paper cites.
S.R. Coleman, R. Jackiw and L. Susskind, Charge Shielding and Quark Confinement in the Massive Schwinger Model , Annals Phys. 93
1975
Earlier work this paper cites.
J.B. Kogut and L. Susskind, Hamiltonian Formulation of Wilson’s Lattice Gauge Theories , Phys. Rev. D 11
1975
Earlier work this paper cites.
S.R. Coleman, More About the Massive Schwinger Model , Annals Phys. 101
1976
Earlier work this paper cites.
W. Fischler, J.B. Kogut and L. Susskind, Quark Confinement in Unusual Environments , Phys. Rev. D 19
1979
Earlier work this paper cites.
M. Creutz, Monte Carlo Study of Quantized SU(2) Gauge Theory , Phys. Rev. D 21
1980
Earlier work this paper cites.
C.J. Hamer, J.B. Kogut, D.P. Crewther and M.M. Mazzolini, The Massive Schwinger Model on a Lattice: Background Field, Chiral Symmetry and the String Tension , Nucl. Phys. B 208
1982
Earlier work this paper cites.
J. Ranft and A. Schiller, Local Hamiltonian Monte Carlo Study of the Massive Schwinger Model in an External Background Field , Phys. Lett. B 122
1983
Earlier work this paper cites.
N.S. Manton, The Schwinger Model and Its Axial Anomaly , Annals Phys. 159
1985
Earlier work this paper cites.
I. Bender, H.J. Rothe and K.D. Rothe, Monte Carlo Study of Screening Versus Confinement in the Massless and Massive Schwinger Model , Nucl. Phys. B 251
1985
Earlier work this paper cites.
J.E. Hetrick and Y. Hosotani, QED ON A CIRCLE , Phys. Rev. D 38
1988
Earlier work this paper cites.
S. Iso and H. Murayama, Hamiltonian Formulation of the Schwinger Model: Nonconfinement and Screening of the Charge , Prog. Theor. Phys. 84
1990
Earlier work this paper cites.

Similar

A.V. Smilga, On the fermion condensate in Schwinger model , Phys. Lett. B 278
1992
Cited alongside, same era.
I. Sachs and A. Wipf, Finite temperature Schwinger model , Helv. Phys. Acta 65
Original
1992
Cited alongside, same era.
A.V. Smilga, Critical amplitudes in two-dimensional theories , Phys. Rev. D 55
1997
Cited alongside, same era.
C. Adam, Massive Schwinger model within mass perturbation theory , Annals Phys. 259
1997
Cited alongside, same era.
C. Adam, Charge screening and confinement in the massive Schwinger model , Phys. Lett. B 394
1997
Cited alongside, same era.
C. Adam, Normalization of the chiral condensate in the massive Schwinger model , Phys. Lett. B 440

Then

M.C. Bañuls, K. Cichy, K. Jansen and H. Saito, Chiral condensate in the Schwinger model with Matrix Product Operators , Phys. Rev. D 93
Original
2016
Later among the works it cites.
B. Buyens, F. Verstraete and K. Van Acoleyen, Hamiltonian simulation of the Schwinger model at finite temperature , Phys. Rev. D 94
Original
2016
Later among the works it cites.
M.C. Bañuls, K. Cichy, J.I. Cirac, K. Jansen and S. Kühn, Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States , Phys. Rev. Lett. 118
Original
2017
Later among the works it cites.
B. Buyens, S. Montangero, J. Haegeman, F. Verstraete and K. Van Acoleyen, Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks , Phys. Rev. D 95
Original
2017
Later among the works it cites.

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Reading the bibliography…

2023

Monte Carlo study of Schwinger model without the sign problem

Ohata, Hiroki

Understand

Monte Carlo study of the Schwinger model (quantum electrodynamics in one spatial dimension) with a topological $\theta$ term is very difficult due to the sign problem in the conventional lattice formulation.

In this paper, we point out that this problem can be circumvented by utilizing the lattice formulation of the bosonized Schwinger model, initially invented by Bender et al.
in 1985.
After conducting a detailed review of their lattice formulation, we explicitly validate its correctness through detailed comparisons with analytical and previous numerical results at $\theta = 0$.

Built on

T. Misumi, Y. Tanizaki and M. Ünsal, Fractional θ \theta angle, ’t Hooft anomaly, and quantum instantons in charge- q q multi-flavor Schwinger model , JHEP 07
Original
1905
Earlier work this paper cites.
L. Funcke, K. Jansen and S. Kühn, Topological vacuum structure of the Schwinger model with matrix product states , Phys. Rev. D 101
Original
1908
Earlier work this paper cites.
G. Magnifico, M. Dalmonte, P. Facchi, S. Pascazio, F.V. Pepe and E. Ercolessi, Real Time Dynamics and Confinement in the ℤ n \mathbb{Z}_{n} Schwinger-Weyl lattice model for 1+1 QED , Quantum 4
Original
1909
Earlier work this paper cites.
T. Matsubara, A New approach to quantum statistical mechanics , Prog. Theor. Phys. 14
1955
Earlier work this paper cites.
J.S. Schwinger, Gauge Invariance and Mass. 2. , Phys. Rev. 128
1962
Earlier work this paper cites.
S. Mandelstam, Soliton Operators for the Quantized Sine-Gordon Equation , Phys. Rev. D 11
1975
Earlier work this paper cites.
S.R. Coleman, R. Jackiw and L. Susskind, Charge Shielding and Quark Confinement in the Massive Schwinger Model , Annals Phys. 93
1975
Earlier work this paper cites.
J.B. Kogut and L. Susskind, Hamiltonian Formulation of Wilson’s Lattice Gauge Theories , Phys. Rev. D 11
1975
Earlier work this paper cites.
S.R. Coleman, More About the Massive Schwinger Model , Annals Phys. 101
1976
Earlier work this paper cites.
W. Fischler, J.B. Kogut and L. Susskind, Quark Confinement in Unusual Environments , Phys. Rev. D 19
1979
Earlier work this paper cites.
M. Creutz, Monte Carlo Study of Quantized SU(2) Gauge Theory , Phys. Rev. D 21
1980
Earlier work this paper cites.
C.J. Hamer, J.B. Kogut, D.P. Crewther and M.M. Mazzolini, The Massive Schwinger Model on a Lattice: Background Field, Chiral Symmetry and the String Tension , Nucl. Phys. B 208
1982
Earlier work this paper cites.
J. Ranft and A. Schiller, Local Hamiltonian Monte Carlo Study of the Massive Schwinger Model in an External Background Field , Phys. Lett. B 122
1983
Earlier work this paper cites.
N.S. Manton, The Schwinger Model and Its Axial Anomaly , Annals Phys. 159
1985
Earlier work this paper cites.
I. Bender, H.J. Rothe and K.D. Rothe, Monte Carlo Study of Screening Versus Confinement in the Massless and Massive Schwinger Model , Nucl. Phys. B 251
1985
Earlier work this paper cites.
J.E. Hetrick and Y. Hosotani, QED ON A CIRCLE , Phys. Rev. D 38
1988
Earlier work this paper cites.
S. Iso and H. Murayama, Hamiltonian Formulation of the Schwinger Model: Nonconfinement and Screening of the Charge , Prog. Theor. Phys. 84
1990
Earlier work this paper cites.

Similar

A.V. Smilga, On the fermion condensate in Schwinger model , Phys. Lett. B 278
1992
Cited alongside, same era.
I. Sachs and A. Wipf, Finite temperature Schwinger model , Helv. Phys. Acta 65
Original
1992
Cited alongside, same era.
A.V. Smilga, Critical amplitudes in two-dimensional theories , Phys. Rev. D 55
1997
Cited alongside, same era.
C. Adam, Massive Schwinger model within mass perturbation theory , Annals Phys. 259
1997
Cited alongside, same era.
C. Adam, Charge screening and confinement in the massive Schwinger model , Phys. Lett. B 394
1997
Cited alongside, same era.
C. Adam, Normalization of the chiral condensate in the massive Schwinger model , Phys. Lett. B 440

Then

M.C. Bañuls, K. Cichy, K. Jansen and H. Saito, Chiral condensate in the Schwinger model with Matrix Product Operators , Phys. Rev. D 93
Original
2016
Later among the works it cites.
B. Buyens, F. Verstraete and K. Van Acoleyen, Hamiltonian simulation of the Schwinger model at finite temperature , Phys. Rev. D 94
Original
2016
Later among the works it cites.
M.C. Bañuls, K. Cichy, J.I. Cirac, K. Jansen and S. Kühn, Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States , Phys. Rev. Lett. 118
Original
2017
Later among the works it cites.
B. Buyens, S. Montangero, J. Haegeman, F. Verstraete and K. Van Acoleyen, Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks , Phys. Rev. D 95
Original
2017
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

1998

Cited alongside, same era.

B. Chakraborty, M. Honda, T. Izubuchi, Y. Kikuchi and A. Tomiya, Classically emulated digital quantum simulation of the Schwinger model with a topological term via adiabatic state preparation , Phys. Rev. D 105

Original

2001

Cited alongside, same era.

T.M.R. Byrnes, P. Sriganesh, R.J. Bursill and C.J. Hamer, Density matrix renormalization group approach to the massive Schwinger model , Phys. Rev. D 66

2002

Cited alongside, same era.

M.C. Bañuls, K. Cichy, K. Jansen and J.I. Cirac, The mass spectrum of the Schwinger model with Matrix Product States , JHEP 11

Original

2013

Cited alongside, same era.

B. Buyens, J. Haegeman, K. Van Acoleyen, H. Verschelde and F. Verstraete, Matrix product states for gauge field theories , Phys. Rev. Lett. 113

Original

2014

Cited alongside, same era.

Y. Shimizu and Y. Kuramashi, Grassmann tensor renormalization group approach to one-flavor lattice Schwinger model , Phys. Rev. D 90

Original