中文

Violation of S-matrix factorization in massive Thirring model

高能物理 - 理论 2009-10-30 v2

摘要

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.

引用

@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}
}

备注

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