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arXiv · 1308.2706

Heat kernel for flat generalized Laplacians with anisotropic scaling

A. Mamiya·A. Pinzul
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Abstract

We calculate the closed analytic form of the solution of heat kernel equation for the anisotropic generalizations of flat Laplacian. We consider a UV as well as UV/IR interpolating generalizations. In all cases, the result can be expressed in terms of Fox-Wright psi-functions. We perform different consistency checks, analytically reproducing some of the previous numerical or qualitative results, such as spectral dimension flow. Our study should be considered as a first step towards the construction of a heat kernel for curved Hořava-Lifshitz geometries, which is an essential ingredient in the spectral action approach to the construction of the Hořava-Lifshitz gravity.

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A. Mamiya, A. Pinzul. 2013-08-12. Heat kernel for flat generalized Laplacians with anisotropic scaling. https://doi.org/10.1063/1.4882157

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