Worldline Approach to QFT on Manifolds with Boundary

Physics – High Energy Physics – High Energy Physics - Theory

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5 pages. Contribution to Proceedings of 9th Conference on Quantum Field Theory Under the Influence of External Conditions, QFE

Scientific paper

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.

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