Abstract.
The massive Schwinger and the massive sine-Gordon models are proved to be equivalent at finite temperature, using the path-integral framework. The well-known relations among the parameters of these models to establish the duality at T = 0 also remain valid at non-zero temperature.
Similar content being viewed by others
References
L.S. Brown, Nuovo Cimento 29, 617 (1963)
B. Zumino, Phys. Lett. 10, 224 (1964)
C.B. Hagen, Nuovo Cimento B 51, 169 (1967)
J.H. Lowenstein, J.A. Swieca, Ann. Phys. (N.Y.) 68, 172 (1971)
Sidney Coleman, Phys. Rev. D 11, 2088 (1975)
C.M. Naon, Phys. Rev. D 31, 2035 (1985)
D. Delepine, R. Gonzalez Felipe, J. Weyers, Phys. Lett. B 419, 296 (1998)
M.V. Manías, C.M. Naón, M.L. Trobo, Phys. Lett. B 416, 157 (1998)
R. Roskies, F. Schaposnik, Phys. Rev. D 23, 558 (1981)
R. Gamboa Saravi, F. Schaposnik, J. Solomin, Nucl. Phys. B 185, 239 (1981)
K. Furuya, R. Gamboa Saravi, F. Schaposnik, Nucl. Phys. B 208, 159 (1982)
S.T. Love, Phys. Rev. D 23, 420 (1981)
C. Bernard, Phys. Rev. D 9, 3312 (1974)
T. Matsubara, Prog. Theor. Phys. 14, 351 (1955)
M. Reuter, W. Dittrich, Phys. Rev. D 32, 513 (1985)
K. Fujikawa, Phys. Rev. Lett. 42, 1195 (1979)
R.K. Pathria, Statistical Mechanics (Butterworth-Heinemann, Oxford, 1996)
Pinaki Banerjee, Atanu Bhatta, B. Sathiapalan, Phys. Rev. D 96, 126014 (2017)
Mikhail Goykhman, Phys. Rev. D 92, 025048 (2015)
Oscar J.P. Éboli, Phys. Rev. D 36, 2408 (1987)
Samir D. Mathur, Fortsch. Phys. 53, 793 (2005)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Faruk, M.M. Duality between the massive sine-Gordon and the massive Schwinger models at finite temperature. Eur. Phys. J. Plus 133, 479 (2018). https://doi.org/10.1140/epjp/i2018-12334-1
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2018-12334-1