Chiral bag boundary conditions on the ball

Details Chiral bag boundary conditions on the ball Chiral bag boundary conditions on the ball

2002-07-11

arxiv.org/abs/hep-th/0207109v1

Phys.Rev. D66 (2002) 085014

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, REVTeX

Scientific paper

10.1103/PhysRevD.66.085014

Local boundary conditions for spinor fields are expressed in terms of a 1-parameter family of boundary operators, and find applications ranging from (supersymmetric) quantum cosmology to the bag model in quantum chromodynamics. The present paper proves that, for massless spinor fields on the Euclidean ball in dimensions d=2,4,6, the resulting zeta(0) value is independent of such a theta parameter, while the various heat-kernel coefficients exhibit a theta-dependence which is eventually expressed in a simple way through hyperbolic functions and their integer powers.

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