2006/05/31 by M. A. L. Capri, D. Dudal, David Dudal +6 · 23 citations
Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Coupling constant #Fermion #Gauge theory #Mass generation #Massless particle #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization #Yang–Mills theory #hep-th
paper · pdf · doi:10.1103/physrevd.74.045008
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 74(4) (American Physical Society) · 17 pages. v2: version accepted for publication in Phys.Rev.D
openalex publication_date 2006/08/11 · arxiv created 2006/10/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We continue the study of a local, gauge invariant Yang-Mills action containing a mass parameter, which we constructed in a previous paper starting from the nonlocal gauge invariant mass dimension two operator F_\ensuremathμ\ensuremathν(D2)^\ensuremath-1F_\ensuremathμ\ensuremathν. We return briefly to the renormalizability of the model, which can be proven to all orders of perturbation theory by embedding it in a more general model with a larger symmetry content. We point out the existence of a nilpotent Becchi-Rouet-Stora-Tyutin (BRST) symmetry. Although our action contains extra (anti)commuting tensor fields and coupling constants, we prove that our model in the limit of vanishing mass is equivalent with ordinary massless Yang-Mills theories. The full theory is renormalized explicitly at two loops in the MS scheme and all the renormalization group functions are presented. We end with some comments on the potential relevance of this gauge model for the issue of a dynamical gluon mass generation.