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Heat Kernel Approach in Quantum Field Theory | | Ivan Avramidi
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19 Jul 2001 | | Journal: | Nucl.Phys.Proc.Suppl. 104 (2002) 3-32 | | Subject: | Mathematical Physics; Analysis of PDEs; Spectral Theory | math-ph gr-qc hep-th math.AP math.MP math.SP | | Abstract: | We give a short overview of the effective action approach in quantum field theory and quantum gravity and describe various methods for calculation of the asymptotic expansion of the heat kernel for second-order elliptic partial differential operators acting on sections of vector bundles over a compact Riemannian manifold. We consider both Laplace type operators and non-Laplace type operators on manifolds without boundary as well as Laplace type operators on manifolds with boundary with oblique and non-smooth boundary conditions. | | Source: | arXiv, math-ph/0107018 | | Services: | Forum | Review | PDF | Favorites | |
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