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

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

1993-11-19

arxiv.org/abs/hep-ph/9311315v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

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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