Implicit regularization beyond one loop order: gauge field theories

Understand

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.