2012/03/29 by Daniel Bieletzki, D. Bieletzki, Kilian Lessmeier +5
Mathematics · Physics and Astronomy · #Abelian group #Gauge (firearms) #Gauge theory #High-Energy Particle Collisions Research #Mass gap #Mass generation #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Resummation #Scalar (mathematics) #Yang–Mills theory #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep05(2012)058
16 pages, 3 figures
arxiv created 2012/03/29 · openalex publication_date 2012/05/01 · arxiv updated 2015/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Perturbation theory for non-Abelian gauge theories at finite temperature is plagued by infrared divergences caused by magnetic soft modes ∼ g2T, which correspond to the fields of a 3d Yang-Mills theory. We revisit a gauge invariant resummation scheme to solve this problem by self-consistent mass generation using an auxiliary scalar field, improving over previous attempts in two respects. First, we generalise earlier SU(2) treatments to SU(N). Second, we obtain a gauge independent two-loop gap equation, correcting an error in the literature. The resulting two-loop approximation to the magnetic mass represents a ∼ 15% correction to the leading one-loop value, indicating a reasonable convergence of the resummation.