Exact flow equations and the U(1) problem

The effective action of an SU(N)-gauge theory coupled to fermions is evaluated at a large infrared cutoff scale k within the path integral approach. The gauge field measure includes topologically non-trivial configurations (instantons). Because of the explicit infrared regularization, there are no g...

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1. Verfasser: Pawlowski, Jan M. (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 15 July 1998
In: Physical review. D, Particles, fields, gravitation, and cosmology
Year: 1998, Jahrgang: 58, Heft: 4
ISSN:1550-2368
DOI:10.1103/PhysRevD.58.045011
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevD.58.045011
Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.58.045011
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Verfasserangaben:J.M. Pawlowski

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