Exact Flow Equations and the U(1)-Problem

Details Exact Flow Equations and the U(1)-Problem Exact Flow Equations and the U(1)-Problem

1996-05-06

arxiv.org/abs/hep-th/9605037v2

Phys.Rev. D58 (1998) 045011

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, latex, no figures, with stylistic changes and some arguments streamlined, typos corrected, References added, to appe

Scientific paper

10.1103/PhysRevD.58.045011

The effective action of a SU(N)-gauge theory coupled to fermions is evaluated at a large infrared cut-off scale k within the path integral approach. The gauge field measure includes topologically non-trivial configurations (instantons). Due to the explicit infrared regularisation there are no gauge field zero modes. The Dirac operator of instanton configurations shows a zero mode even after the infrared regularisation, which leads to U_A(1)-violating terms in the effective action. These terms are calculated in the limit of large scales k.

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