Heat Kernel Approach in Quantum Field Theory
数学物理
2009-11-07 v1 广义相对论与量子宇宙学
高能物理 - 理论
偏微分方程分析
math.MP
谱理论
摘要
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.
引用
@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}
}
备注
Lectures at the Conference "Quantum Gravity and Spectral Geometry", Jul2-2-7, 2001, Naples, Italy