Exact flow equations and the U(1)-problem

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...

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Bibliographic Details
Main Author: Pawlowski, Jan M. (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 1998
In: Arxiv

Online Access:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/hep-th/9605037
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Author Notes:J.M. Pawlowski
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Summary: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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