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arXiv · hep-th/9705140

Violation of S-matrix factorization in massive Thirring model

Takehisa Fujita·Makoto Hiramoto
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Abstract

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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Takehisa Fujita, Makoto Hiramoto. 1998-11-04. Violation of S-matrix factorization in massive Thirring model. https://doi.org/10.1103/physrevd.58.125019

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