Worldline Approach to QFT on Manifolds with Boundary
arXiv:0912.4120 · doi:10.1142/9789814289931_0051
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.
5 pages. Contribution to Proceedings of 9th Conference on Quantum Field Theory Under the Influence of External Conditions, QFEXT09