Renormalization of the Topological Charge in Yang–Mills Theory
نویسنده
چکیده
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 θ–parameter while fermions give rise to an additional shift of θ. A truncated form of an exact renormalization group equation is used to study the scale dependence of the θ–parameter. Possible implications for the strong CP–problem of QCD are discussed.
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