Renormalization of the Topological Charge in Yang-Mills Theory

Details Renormalization of the Topological Charge in Yang-Mills Theory Renormalization of the Topological Charge in Yang-Mills Theory

1996-04-20

arxiv.org/abs/hep-th/9604124v1

Mod.Phys.Lett. A12 (1997) 2777-2802

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, latex

Scientific paper

10.1142/S0217732397002922

The conditions leading to a nontrivial renormalization of the topological charge in four--dimensional Yang--Mills theory are discussed. It is shown that if the topological term is regarded as the limit of a certain nontopological interaction, quantum effects due to the gauge bosons lead to a finite multiplicative renormalization of the theta--parameter while fermions give rise to an additional shift of theta. A truncated form of an exact renormalization group equation is used to study the scale dependence of the theta--parameter. Possible implications for the strong CP--problem of QCD are discussed.

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