Gross-Neveu 模型的变分解：有限 $N$ 与重整化
高能物理 - 理论
2009-10-28 v2 高能物理 - 唯象学
摘要
我们展示了如何对一般的 在 Gross-Neveu 模型中系统地执行可改进的变分计算，使得通常以这类计算为害的所有无穷大均按与微扰重整化群相容的方式被处理。最终要点是计算诸如凝聚体、质量等非微扰量的通用框架，适用于渐近自由场论。对 Gross-Neveu 模型，由“双圈”获得的数值结果下延至低 值。
引用
@article{arxiv.hep-th/9511101,
title = {Variational Solution of the Gross-Neveu Model: finite $N$ and Renormalization},
author = {C. Arvanitis and F. Geniet and M. Iacomi and J. -L. Kneur and A. Neveu},
journal= {arXiv preprint arXiv:hep-th/9511101},
year = {2009}
}
备注
35 pages, Latex, 5 figures. Correction of a trivial mistake in the Pad\'e approximant numerical program leads to a significant improvement of the variational results for the mass gap, for arbitrary N. A more complete comparison of different Pad\'e approximants is performed. Text modified according to these new results, one figure and two references added