Abstract.
Using the canonical method developed for anomalous theories, we present the independent rederivation of the quantum relationship between the massive Thirring and the sine-Gordon models. The same method offers the possibility to obtain the Mandelstam soliton operators as a solution of the Poisson brackets “equation” for the fermionic fields. We checked the anticommutation and basic Poisson brackets relations for these composite operators. The transition from the Hamiltonian to the corresponding Lagrangian variables produces the known Mandelstam’s result.
Similar content being viewed by others
References
S. Coleman, Phys. Rev. D 11, 2088 (1975)
S. Mandelstam, Phys. Rev. D 11, 3026 (1975)
M. Stone, Bosonization (World Scientific 1994)
R.F. Streater, I.F. Wilde, Nucl. Phys B 24, 561 (1970)
M.B. Halpern, Phys. Rev. D 12, 1684 (1975)
G. Morchio, D. Pierotti, F. Strocchi, J. Math. Phys. 33, 777 (1992)
N. Nakanishi, Prog. Theor. Phys. 57, 581, 1025 (1977)
M. Henneaux, C. Teitelboim, Quantization of gauge systems (Princeton Univ. Press, 1992)
A. Miković, B. Sazdović, Mod. Phys. Lett. A 10, 1041 (1995)
B. Sazdović, Phys. Rev. D 62, 045011 (2000)
W. Thirring, Ann. Phys. (NJ) 3, 91 (1958)
C.R. Hagen, Nuovo Cim. B 51, 169 (1967)
Author information
Authors and Affiliations
Additional information
Received: 7 July 2003, Published online: 26 November 2003
Rights and permissions
About this article
Cite this article
Juričić, V., Sazdović, B. Thirring sine-Gordon relationship by canonical methods. Eur. Phys. J. C 32, 443–452 (2003). https://doi.org/10.1140/epjc/s2003-01401-4
Issue Date:
DOI: https://doi.org/10.1140/epjc/s2003-01401-4