Symmetry preserving regularization with a cutoff
High Energy Physics - Phenomenology
2015-05-18 v2 Nuclear Theory
Abstract
A Lorentz and gauge symmetry preserving regularization method is proposed in 4 dimension based on momentum cutoff. We use the conditions of gauge invariance or freedom of shift of the loop-momentum to define the evaluation of the terms carrying Lorentz indices, e.g. proportional to k_{\mu}k_{\nu}. The remaining scalar integrals are calculated with a four dimensional momentum cutoff. The finite terms (independent of the cutoff) are unambiguous and agree with the result of dimensional regularization.
Cite
@article{arxiv.1002.4490,
title = {Symmetry preserving regularization with a cutoff},
author = {G. Cynolter and E. Lendvai},
journal= {arXiv preprint arXiv:1002.4490},
year = {2015}
}
Comments
12 pages, 1 figure, v2 references added