Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario
P. B. Gilkey, K. Kirsten, D. V. Vassilevich
Abstract
We study the spectral geometry of an operator of Laplace type on a manifold with a singular surface. We calculate several first coefficients of the heat kernel expansion. These coefficients are responsible for divergences and conformal anomaly in quantum brane-world scenario.
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