Strong ellipticity and spectral properties of chiral bag boundary conditions
C.G. Beneventano, P.B. Gilkey, K. Kirsten, E.M. Santangelo
TL;DR
This paper proves the strong ellipticity of chiral bag boundary conditions on even-dimensional manifolds and analyzes related spectral properties using heat kernel and zeta function techniques.
Contribution
It establishes the strong ellipticity of chiral bag boundary conditions and explores spectral properties via heat kernel and zeta function analysis on cylindrical manifolds.
Findings
Proved strong ellipticity of chiral bag boundary conditions.
Analyzed heat kernel properties on cylindrical manifolds.
Investigated zeta function behavior in this context.
Abstract
We prove strong ellipticity of chiral bag boundary conditions on even dimensional manifolds. From a knowledge of the heat kernel in an infinite cylinder, some basic properties of the zeta function are analyzed on cylindrical product manifolds of arbitrary even dimension.
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