Implicit regularization beyond one loop order: gauge field theories
High Energy Physics - Theory
2008-11-26 v2
Abstract
We extend a constrained version of Implicit Regularization (CIR) beyond one loop order for gauge field theories. In this framework, the ultraviolet content of the model is displayed in terms of momentum loop integrals order by order in perturbation theory for any Feynman diagram, while the Ward-Slavnov-Taylor identities are controlled by finite surface terms. To illustrate, we apply CIR to massless abelian Gauge Field Theories (scalar and spinorial QED) to two loop order and calculate the two-loop beta-function of the spinorial QED.
Cite
@article{arxiv.0801.2703,
title = {Implicit regularization beyond one loop order: gauge field theories},
author = {E. W. Dias and A. P. Baeta Scarpelli and L. C. T. Brito and Marcos Sampaio and M. C. Nemes},
journal= {arXiv preprint arXiv:0801.2703},
year = {2008}
}
Comments
18 pages, 5 figures, accepted for publication in European Physical Journal