Worldline Approach to QFT on Manifolds with Boundary
High Energy Physics - Theory
2017-08-23 v1
Abstract
We use the image charge method to compute the trace of the heat kernel for a scalar field on a flat manifold with boundary, representing the trace by means of a worldline path integral and obtain useful non-iterative master formulae for n insertions of the scalar potential. We discuss possible extensions of the method.
Cite
@article{arxiv.0912.4120,
title = {Worldline Approach to QFT on Manifolds with Boundary},
author = {F. Bastianelli and O. Corradini and P. A. G. Pisani and C. Schubert},
journal= {arXiv preprint arXiv:0912.4120},
year = {2017}
}
Comments
5 pages. Contribution to Proceedings of 9th Conference on Quantum Field Theory Under the Influence of External Conditions, QFEXT09