Study of the gauge invariant, nonlocal mass operatorTr∫d4xFμν(D2)−1Fμνin Yang-Mills theories

2005/10/29 by M. A. L. Capri, D. Dudal, David Dudal +6 · 1 citation
Mathematics · Physics and Astronomy · #Archaeology #Black Holes and Theoretical Physics #Gauge (firearms) #History #Invariant (physics) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.72.105016

published as Phys.Rev.D72:105016,2005 · 34 pages

arxiv created 2005/10/29 · openalex publication_date 2005/11/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The nonlocal mass operator Tr\ensuremath∫d⁴xF_\ensuremathμ\ensuremathν(D²)^\ensuremath-1F_\ensuremathμ\ensuremathν is considered in Yang-Mills theories in Euclidean space-time. It is shown that the operator Tr\ensuremath∫d⁴xF_\ensuremathμ\ensuremathν(D²)^\ensuremath-1F_\ensuremathμ\ensuremathν can be cast in local form through the introduction of a set of additional fields. A local and polynomial action is thus identified. Its multiplicative renormalizability is proven by means of the algebraic renormalization in the class of linear covariant gauges. The anomalous dimensions of the fields and of the mass operator are computed at one-loop order. A few remarks on the possible role of this operator for the issue of the gauge invariance of the dimension two condensates are outlined.

Citations

• Quantization of non-Abelian gauge theories
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• Dynamical gluon mass generation from in linear covariant gauges
• Vacuum type of SU(2) gluodynamics in maximally Abelian and Landau gauges
• Seeking an even-parity mass term for 3-D gauge theory
• Dual Meissner Effect and Magnetic Displacement Currents
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• The Stueckelberg Field
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• Infinite volume and continuum limits of the Landau-gauge gluon propagator
• Ellipsoidal bound on the Gribov horizon contradicts the perturbative renormalization group
• Description of gluon propagation in the presence of anA2condensate
• Dynamical mass generation in continuum quantum chromodynamics
• A determination of Aμ2 and the non-perturbative vacuum energy of Yang–Mills theory in the Landau gauge
• Abelian dominance and gluon propagators in the maximally Abelian gauge of SU(2) lattice gauge theory
• Local and renormalizable action from the gribov horizon
• More (thoughts on) Gribov copies

Cited by

• Perturbative Yang–Mills theory without Faddeev–Popov ghost fields
• Study of the maximal Abelian gauge inSU(2)Euclidean Yang-Mills theory in the presence of the Gribov horizon