Strong ellipticity and spectral properties of chiral bag boundary conditions
C.G. Beneventano, Peter B. Gilkey, Klaus Kirsten,and E.M. Santangelo
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Submission date: 30. Jul. 2003
published in: Journal of physics / A, 36 (2003) 45, p. 11533-11543
DOI number (of the published article): 10.1088/0305-4470/36/45/012
MSC-Numbers: 58J50, 35P05, 35J55
PACS-Numbers: 02.30.TB, 02.30.Sa
Keywords and phrases: strong ellipticity, boundary conditions, zeta functions
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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.