Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-09-03
JHEP0810:095,2008
Physics
High Energy Physics
High Energy Physics - Theory
1+21 pages; references added, published version
Scientific paper
10.1088/1126-6708/2008/10/095
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 R_+ x R^{D-1}, based on an extension of the associated worldline path integral to the full R^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, a_4 and a_{9/2}.
Bastianelli Fiorenzo
Corradini Olindo
Pisani Pablo A. G.
Schubert Christian
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