Renormalization of Nielsen Identities

2013/07/15 by Adrian Lewandowski, Lewandowski, Adrian
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.48550/arxiv.1307.4055

29 pages

arxiv created 2013/07/15 · openalex publication_date 2013/07/15 · arxiv updated 2013/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study renormalization of identities governing the dependence of 1PI Green's functions on gauge-fixing parameters. For general dimensionally regularized Yang-Mills theories with gauge groups being direct products of arbitrary compact simple Lie groups and U(1) groups coupled to scalar fields, we extend the well known analysis in Fermi gauges to the class of generalized 't Hoot gauges R_ξ,u, in which also symmetry under global gauge transformations is broken by the gauge-fixing procedure. We also discuss conditions ensuring homogeneity of the Nielsen identity satisfied by the effective potential.

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