A Kirchberg et al 2006 J. Phys. A: Math. Gen. 39 9573 doi:10.1088/0305-4470/39/30/012
Spectral asymmetry on the ball and asymptotics of the asymmetry kernel
A Kirchberg1, K Kirsten2, E M Santangelo3 and A Wipf1
Show affiliationsLet 
be the Dirac operator on a D = 2d dimensional ball 
with radius R. We calculate the spectral asymmetry 
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 
where P is an operator of Dirac type and F is an auxiliary smooth smearing function.
- PACS
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11.30.Na Nonlinear and dynamical symmetries (spectrum-generating symmetries)
- MSC
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81T05 Axiomatic quantum field theory; operator algebras
33C10 Bessel and Airy functions, cylinder functions, 0F1
15A66 Clifford algebras, spinors
32A26 Integral representations, constructed kernels (e.g. Cauchy, Fantappiè-type kernels)
15A18 Eigenvalues, singular values, and eigenvectors
34L40 Particular operators (Dirac, one-dimensional Schrödinger, etc.)
- Subjects
- Dates
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Issue 30 (28 July 2006)
Received 3 May 2006, in final form 12 June 2006
Published 12 July 2006
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Spectral asymmetry on the ball and asymptotics of the asymmetry kernel
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