Solution of the Thirring model in the canonical framework
Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 2, pp. 212-227
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A method is proposed for constructing a rigorous canonical quantum field theory that takes
into account the need to eliminate the ambiguity in the definition of quantities of the type $\overline{\psi}\gamma_\mu\psi$. This method is used to find the solution of the Thirring model in two-dimensional space time. The operators of the meson and fermlon fields and the electromagnetic current and the $S$-matrix are constructed In the Interaction representation. It is shown that all the Wightman axioms are satisfied in the Thirring model.
@article{TMF_1970_3_2_a7,
author = {I. V. Tyutin},
title = {Solution of the {Thirring} model in the canonical framework},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {212--227},
publisher = {mathdoc},
volume = {3},
number = {2},
year = {1970},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1970_3_2_a7/}
}
I. V. Tyutin. Solution of the Thirring model in the canonical framework. Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 2, pp. 212-227. http://geodesic.mathdoc.fr/item/TMF_1970_3_2_a7/