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MiS Preprint
62/2005

Heat kernel coefficients for chiral bag boundary conditions

Giampiero Esposito, Peter B. Gilkey and Klaus Kirsten

Abstract

We study the asymptotic expansion of the smeared $L^{2}$-trace of $f \; e^{-tP^2}$ where $P$ is an operator of Dirac type, $f$ is an auxiliary smooth smearing function which is used to localize the problem, and chiral bag boundary conditions are imposed. Special case calculations, functorial methods and the theory of $\zeta$- and $\eta$-invariants are used to obtain the boundary part of the heat-kernel coefficients $a_{1}$ and $a_{2}$.

Received:
Jun 17, 2005
Published:
Jun 17, 2005
MSC Codes:
58J50
Keywords:
chiral bag boundary conditions, operator of dirac type, heat equation

Related publications

inJournal
2005 Repository Open Access
G. Esposito, Peter B. Gilkey and Klaus Kirsten

Heat kernel coefficients for chiral bag boundary conditions

In: Journal of physics / A, 38 (2005) 10, pp. 2259-2276