Violation of S-matrix factorization in massive Thirring model

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.

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

References in corpus (1)

• A new interpretation of Bethe ansatz solutions for massive Thirring model

Cited by in corpus (4)

• Large N behavior of string solutions in the Heisenberg model
• XXZ spin chain in transverse field as a regularization of the sine-Gordon model
• Bound State Spectrum of Massive Thirring Model in Rest Frame
• Properties of the massive Thirring model from the XYZ spin chain