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arXiv · hep-th/0605067

Spectral asymmetry on the ball and asymptotics of the asymmetry kernel

A. Kirchberg·K. Kirsten·E. M. Santangelo·A. Wipf
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Abstract

Let $\ui\di$ be the Dirac operator on a $D=2d$ dimensional ball $\mcB$ with radius $R$. We calculate the spectral asymmetry $η(0,\ui\di)$ for D=2 and D=4, when local chiral bag boundary conditions are imposed. With these boundary conditions, we also analyze the small-$t$ asymptotics of the heat trace $\Tr (F P e^{-t P^2})$ where $P$ is an operator of Dirac type and $F$ is an auxiliary smooth smearing function.

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A. Kirchberg, K. Kirsten, E. M. Santangelo, A. Wipf. 2006-05-05. Spectral asymmetry on the ball and asymptotics of the asymmetry kernel. https://doi.org/10.1088/0305-4470%2F39%2F30%2F012

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