Violation of S-matrix factorization in massive Thirring model

Details Violation of S-matrix factorization in massive Thirring model Violation of S-matrix factorization in massive Thirring model

1997-05-20

arxiv.org/abs/hep-th/9705140v2

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, Latex, 3 figures, Phys. Rev. D58 in press

Scientific paper

10.1103/PhysRevD.58.125019

We present a counter example which shows the violation of the S-matrix factorization in the massive Thirring model. This is done by solving the PBC equations of the massive Thirring model exactly but numerically. The violation of the S-matrix factorization is related to the fact that the crossing symmetry and the factorization do not commute with each other. This confirms that the soliton antisoliton S-matrix factorization picture of the sine-Gordon model is semiclassical and does not lead to a full quantization procedure of the massive Thirring model.

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