Chiral bag boundary conditions on the ball
High Energy Physics - Theory
2009-11-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0207109,
title = {Chiral bag boundary conditions on the ball},
author = {Giampiero Esposito and Klaus Kirsten},
journal= {arXiv preprint arXiv:hep-th/0207109},
year = {2009}
}
Comments
30 pages, REVTeX