Quark determinant in domain-like gluon fields

Details Quark determinant in domain-like gluon fields Quark determinant in domain-like gluon fields

2003-10-28

arxiv.org/abs/hep-ph/0310306v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Contribution to the International Workshop on QCD: QCD@Work 2003 - Conversano (Italy) 14-18 June 2003 (eConf C030614)

Scientific paper

We address the computation of the determinant for the Dirac operator corresponding to a quark propagating in a background gluon field of the following type: the gauge field is covariantly constant and self-dual inside a hypersphere and with quark fields satisfying bag-like (chiral-violating) boundary conditions at the surface of the hypersphere. We find that the parity odd part of the logarithm of the determinant corresponds to the Abelian anomaly. However the parity even part also depends on the chiral angle associated with the boundary. This unexpected dependence is discussed.

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