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MiS Preprint

Chiral Bag Boundary Conditions on the Ball

Giampiero Esposito and Klaus Kirsten


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.

Aug 28, 2002
Aug 28, 2002
02.30.-f, 03.70.+k
boundary conditions, heat trace asymptotics

Related publications

2002 Repository Open Access
G. Esposito and Klaus Kirsten

Chiral bag boundary conditions on the ball

In: Physical review / D, 66 (2002) 8, p. 085014