Violation of S-matrix factorization in massive Thirring model
High Energy Physics - Theory
2009-10-30 v2
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.
Cite
@article{arxiv.hep-th/9705140,
title = {Violation of S-matrix factorization in massive Thirring model},
author = {Takehisa Fujita and Makoto Hiramoto},
journal= {arXiv preprint arXiv:hep-th/9705140},
year = {2009}
}
Comments
28 pages, Latex, 3 figures, Phys. Rev. D58 in press