Implicit regularization beyond one loop order: gauge field theories

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.

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

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Cited by in corpus (21)

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• May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
• Systematic Implementation of Implicit Regularization for Multi-Loop Feynman Diagrams
• Regularization Independent Analysis of the Origin of Two Loop Contributions to N=1 Super Yang-Mills Beta Function
• Dimensional regularization vs methods in fixed dimension with and without ${\gamma }_5$
• Momentum routing invariance in Feynman diagrams and quantum symmetry breakings
• Systematization of Basic Divergent Integrals in Perturbation Theory and Renormalization Group Functions
• On the equivalence between Implicit Regularization and Constrained Differential Renormalization
• Momentum Routing Invariance in Extended QED: Assuring Gauge Invariance Beyond Tree Level
• Regularization-scheme dependence of QCD amplitudes in the massive case
• Two-loop renormalisation of gauge theories in $4D$ Implicit Regularisation and connections to dimensional methods
• On the Bose symmetry and the left- and right-chiral anomalies
• Guises and Disguises of Quadratic Divergences
• Note on triangle anomaly with improved momentum cutoff
• A brief review of Implicit Regularization and its connection with the BPHZ theorem
• Ultraviolet and Infrared Divergences in Implicit Regularization: a Consistent Approach
• Supercurrent anomaly and gauge invariance in N=1 supersymmetric Yang-Mills theory
• Higgs boson decay into gluons in a 4D regularization: IR cancellation without evanescent fields to NLO
• Advances towards the systematization of calculations with Implicit Regularization