Violation of S-matrix Factorization in Massive Thirring Model
نویسنده
چکیده
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. PACS numbers: 3.70.+k, 11.10.-z e-mail: [email protected] e-mail: [email protected] 1
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