Renormalization of six-dimensional Yang-Mills theory in a background gauge field

Abstract

Using the background field method, we study in a general covariant gauge the renormalization of the 6-dimensional Yang-Mills theory. This requires background gauge invariant counterterms, some of which do not vanish on shell. Such counterterms occur, even off-shell, with gauge-independent coefficients. The analysis is done at one loop order and the extension to higher orders is discussed by means of the BRST identities. We examine the behaviour of the beta function, which implies that this theory is not asymptotically free.

arXiv comment16 pages, 3 figures; Revisions and additions in section III; Reference added; Accepted for publication in Physical Review D

References in corpus (8)

• Are Nonrenormalizable Gauge Theories Renormalizable?
• Stability and renormalization of Yang-Mills theory with Background Field Method: a regularization independent proof
• Renormalization of gauge theories in the background-field approach
• New ``Gauge'' Theories In Six Dimensions
• Six dimensional QCD at two loops
• Background gauge renormalization and BRST identities
• Multiplicative renormalization of Yang-Mills theories in the background-field formalism
• A Twistor Description of Six-Dimensional N=(1,1) Super Yang-Mills Theory

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