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Dimensional Continuation of Gauge-Invariant Quantities in Yang-Mills Theory

1993/11/19 by Rajesh R. Parwani, Parwani, Rajesh R.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9311315

5 Latex pages; (Presented at the 3rd Thermal Fields Workshop at Banff, Canada; August 1993); preprint T93/127

arxiv created 1993/11/19 · arxiv updated 2009/11/30

Abstract

Consideration of some perturbatively calculated gauge-invariant expectation values of local noncomposite operators in pure Yang-Mills theory indicates that those expectation values which are not dimension specific, and which are well defined near D=4 dimensions, have some \it finite limit as the evaluated expression is naively extrapolated from D=4 to D=2. If this finite limit is a generic feature for such quantities it would not only be quite remarkable but also of some utility : For example, one may then use it as a convenient necessary condition when checking gauge invariance. Some examples are discussed at nonzero temperature.

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