Precise Quark Mass Dependence of Instanton Determinant

Details Precise Quark Mass Dependence of Instanton Determinant Precise Quark Mass Dependence of Instanton Determinant

2004-10-18

arxiv.org/abs/hep-th/0410190v1

Phys.Rev.Lett. 94 (2005) 072001

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.94.072001

The fermion determinant in an instanton background for a quark field of arbitrary mass is determined exactly using an efficient numerical method to evaluate the determinant of a partial wave radial differential operator. The bare sum over partial waves is divergent but can be renormalized in the minimal subtraction scheme using the result of WKB analysis of the large partial wave contribution. Previously, only a few leading terms in the extreme small and large mass limits were known for the corresponding effective action. Our approach works for any quark mass and interpolates smoothly between the analytically known small and large mass expansions.

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