Implicit regularization beyond one loop order: gauge field theories

Details Implicit regularization beyond one loop order: gauge field theories Implicit regularization beyond one loop order: gauge field theories

2008-01-17

arxiv.org/abs/0801.2703v2

Eur.Phys.J.C55:667-681,2008

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 5 figures, accepted for publication in European Physical Journal

Scientific paper

10.1140/epjc/s10052-008-0614-6

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.

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