Chiral Bag Boundary Conditions on the Ball

Giampiero Esposito and Klaus Kirsten

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Submission date: 28. Aug. 2002
Pages: 32
published in: Physical review / D, 66 (2002) 8, art-no. 085014 
DOI number (of the published article): 10.1103/PhysRevD.66.085014
Bibtex
PACS-Numbers: 02.30.-f, 03.70.+k
Keywords and phrases: boundary conditions, heat trace asymptotics
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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 value is independent of such a parameter, while the various heat-kernel coefficients exhibit a -dependence which is eventually expressed in a simple way through hyperbolic functions and their integer powers.