Spectral asymmetry on the ball and asymptotics of the asymmetry kernel

Let be i∂/ the Dirac operator on a D = 2d dimensional ball B with radius R. We calculate the spectral asymmetry η(0, i∂/) for D = 2 and D = 4, when local chiral bag boundary conditions are imposed. With these boundary conditions, we also analyse the small-t asymptotics of the heat trace TrFP e<su...

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Autores principales: Kirchberg, A., Kirsten, Klaus, Santángelo, Eve Mariel, Wipf, Andreas
Formato: Articulo
Lenguaje:Inglés
Publicado: 2006
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132149
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Sumario:Let be i∂/ the Dirac operator on a D = 2d dimensional ball B with radius R. We calculate the spectral asymmetry η(0, i∂/) for D = 2 and D = 4, when local chiral bag boundary conditions are imposed. With these boundary conditions, we also analyse the small-t asymptotics of the heat trace TrFP e<sup>−tP²</sup> where P is an operator of Dirac type and F is an auxiliary smooth smearing function.