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- W2029811268 abstract "The worldline formalism has in recent years emerged as a powerful tool for the computation of effective actions and heat kernels. However, implementing nontrivial boundary conditions in this formalism has turned out to be a difficult problem. Recently, such a generalization was developed for the case of a scalar field on the half-space + × D−1, based on an extension of the associated worldline path integral to the full D using image charges. We present here an improved version of this formalism which allows us to write down non-recursive master formulas for the n-point contribution to the heat kernel trace of a scalar field on the half-space with Dirichlet or Neumann boundary conditions. These master formulas are suitable to computerization. We demonstrate the efficiency of the formalism by a calculation of two new heat-kernel coefficients for the half-space, a4 and a9/2." @default.
- W2029811268 created "2016-06-24" @default.
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- W2029811268 date "2008-10-24" @default.
- W2029811268 modified "2023-09-26" @default.
- W2029811268 title "Scalar heat kernel with boundary in the worldline formalism" @default.
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- W2029811268 doi "https://doi.org/10.1088/1126-6708/2008/10/095" @default.
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