Scalar Field with Robin Boundary Conditions in the Worldline Formalism

Details Scalar Field with Robin Boundary Conditions in the Worldline Formalism Scalar Field with Robin Boundary Conditions in the Worldline Formalism

2007-10-22

arxiv.org/abs/0710.4026v1

J.Phys.A41:164010,2008

Physics

High Energy Physics

High Energy Physics - Theory

Presented at 8th Workshop on Quantum Field Theory Under the Influence of External Conditions (QFEXT 07), Leipzig, Germany, 16-

Scientific paper

10.1088/1751-8113/41/16/164010

The worldline formalism has been widely used to compute physical quantities in quantum field theory. However, applications of this formalism to quantum fields in the presence of boundaries have been studied only recently. In this article we show how to compute in the worldline approach the heat kernel expansion for a scalar field with boundary conditions of Robin type. In order to describe how this mechanism works, we compute the contributions due to the boundary conditions to the coefficients A_1, A_{3/2} and A_2 of the heat kernel expansion of a scalar field on the positive real line.

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