Exact Flow Equations and the U(1)-Problem
High Energy Physics - Theory
2016-08-25 v2
Abstract
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.
Cite
@article{arxiv.hep-th/9605037,
title = {Exact Flow Equations and the U(1)-Problem},
author = {J. M. Pawlowski},
journal= {arXiv preprint arXiv:hep-th/9605037},
year = {2016}
}
Comments
22 pages, latex, no figures, with stylistic changes and some arguments streamlined, typos corrected, References added, to appear in Phys. Rev. D