Heat Kernel Approach in Quantum Field Theory
Mathematical Physics
2009-11-07 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Analysis of PDEs
math.MP
Spectral Theory
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.
Cite
@article{arxiv.math-ph/0107018,
title = {Heat Kernel Approach in Quantum Field Theory},
author = {Ivan Avramidi},
journal= {arXiv preprint arXiv:math-ph/0107018},
year = {2009}
}
Comments
Lectures at the Conference "Quantum Gravity and Spectral Geometry", Jul2-2-7, 2001, Naples, Italy