Exact scheme independence at one loop
高能物理 - 理论
2009-11-07 v2 凝聚态物理
高能物理 - 格点
高能物理 - 唯象学
摘要
The requirement that the quantum partition function be invariant under a renormalization group transformation results in a wide class of exact renormalization group equations, differing in the form of the kernel. Physical quantities should not be sensitive to the particular choice of the kernel. We demonstrate this scheme independence in four dimensional scalar field theory by showing that, even with a general kernel, the one-loop beta function may be expressed only in terms of the effective action vertices, and thus, under very general conditions, the universal result is recovered.
关键词
引用
@article{arxiv.hep-th/0201237,
title = {Exact scheme independence at one loop},
author = {Stefano Arnone and Antonio Gatti and Tim R. Morris},
journal= {arXiv preprint arXiv:hep-th/0201237},
year = {2009}
}
备注
13 pages, no figures, version to appear in JHEP, includes some minor corrections