| dc.creator | Bastianelli, Fiorenzo | |
| dc.creator | Corradini, Olindo | |
| dc.creator | González Pisani, Pablo Andrés | |
| dc.creator | Schubert, Christian | |
| dc.date | 2008 | |
| dc.date | 2019-10-28T17:15:04Z | |
| dc.identifier | http://sedici.unlp.edu.ar/handle/10915/84238 | |
| dc.identifier | issn:1126-6708 | |
| dc.description | 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<SUB>+</SUB> × ℝ<SUP>D-1</SUP>, based on an extension of the associated worldline path integral to the full ℝ<SUP>D</SUP> 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<SUB>4</SUB> and a<SUB>9/2</SUB>. | |
| dc.description | Facultad de Ciencias Exactas | |
| dc.description | Instituto de Física La Plata | |
| dc.format | application/pdf | |
| dc.language | en | |
| dc.rights | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.rights | Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | |
| dc.subject | Ciencias Exactas | |
| dc.subject | Física | |
| dc.subject | Field theories in higher dimensions | |
| dc.subject | Field theories in lower dimensions | |
| dc.subject | Sigma models | |
| dc.title | Scalar heat kernel with boundary in the worldline formalism | |
| dc.type | Articulo | |
| dc.type | Articulo | |
