Cohomology and Renormalization of BFYM Theory in three Dimensions

Abstract

The first order formalism for 3D Yang-Mills theory is considered and two different formulations are introduced, in which the gauge theory appears to be a deformation of the topological BF theory. We perform the quantization and the algebraic analysis of cohomology and renormalization for both the models, which are found to be anomaly free. We discuss also their stability against radiative corrections, giving the full structure of possible counterterms, requiring an involved matricial renormalization of fields and sources.

25 pages, Latex, uses Feynman.tex

References in corpus (3)

• Feynman rules and beta-function for the BF Yang-Mills Theory
• Algebraic renormalization of the BF Yang-Mills Theory
• Anomalies and Renormalization of BFYM Theory

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• On the finiteness of a new topological model in D=3
• Equivalence of first and second order formulations of the Einstein-Hilbert theory
• Scale Invariance in a Non-Abelian Chern-Simons-Matter Model
• Ersatz gravity and black-hole thermodynamics from Manin gauge theory with noncompact gauge group