The C_2 heat-kernel coefficient in the presence of boundary discontinuities

Details The C_2 heat-kernel coefficient in the presence of boundary discontinuities The C_2 heat-kernel coefficient in the presence of boundary discontinuities

1997-12-02

arxiv.org/abs/hep-th/9712019v1

Class.Quant.Grav. 15 (1998) 1121-1139

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, LaTeX

Scientific paper

10.1088/0264-9381/15/5/005

We consider the heat-kernel on a manifold whose boundary is piecewise smooth. The set of independent geometrical quantities required to construct an expression for the contribution of the boundary discontinuities to the C_{2} heat-kernel coefficient is derived in the case of a scalar field with Dirichlet and Robin boundary conditions. The coefficient is then determined using conformal symmetry and evaluation on some specific manifolds. For the Robin case a perturbation technique is also developed and employed. The contributions to the smeared heat-kernel coefficient and cocycle function are calculated. Some incomplete results for spinor fields with mixed conditions are also presented.

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