Renormalization properties of the mass operator AμaAμa in three-dimensional Yang-Mills theories in the Landau gauge

2004/09/24 by David Dudal, D. Dudal, J. A. Gracey +5 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Coupling constant #Gauge (firearms) #Mathematical physics #Operator (biology) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization #Renormalization group #hep-th

paper · pdf · doi:10.1016/j.aop.2004.11.012

published as Annals Phys. 317 (2005) 203-219 · 15 pages, 3 figures

arxiv created 2004/09/24 · openalex publication_date 2005/01/29 · arxiv updated 2009/12/01 · openalex created_date 2022/10/02 · openalex updated_date 2026/08/05

Abstract

Massive renormalizable Yang-Mills theories in three dimensions are analysed within the algebraic renormalization in the Landau gauge. In analogy with the four dimensional case, the renormalization of the mass operator A² turns out to be expressed in terms of the fields and coupling constant renormalization factors. We verify the relation we obtain for the operator anomalous dimension by explicit calculations in the large N_f. The generalization to other gauges such as the nonlinear Curci-Ferrari gauge is briefly outlined.

Citations

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• Dynamical gluon mass generation from in linear covariant gauges
• A gauge-invariant Hamiltonian analysis for non-Abelian gauge theoreiesin (2+1) dimensions
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