MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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.

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