Scalar heat kernel with boundary in the worldline formalism
- Autores
- Bastianelli, Fiorenzo; Corradini, Olindo; González Pisani, Pablo Andrés; Schubert, Christian
- Año de publicación
- 2008
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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+ × ℝD-1, based on an extension of the associated worldline path integral to the full ℝD 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.
Facultad de Ciencias Exactas
Instituto de Física La Plata - Materia
-
Ciencias Exactas
Física
Field theories in higher dimensions
Field theories in lower dimensions
Sigma models - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/84238
Ver los metadatos del registro completo
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Scalar heat kernel with boundary in the worldline formalismBastianelli, FiorenzoCorradini, OlindoGonzález Pisani, Pablo AndrésSchubert, ChristianCiencias ExactasFísicaField theories in higher dimensionsField theories in lower dimensionsSigma modelsThe 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>.Facultad de Ciencias ExactasInstituto de Física La Plata2008info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/84238enginfo:eu-repo/semantics/altIdentifier/issn/1126-6708info:eu-repo/semantics/altIdentifier/doi/10.1088/1126-6708/2008/10/095info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T16:57:02Zoai:sedici.unlp.edu.ar:10915/84238Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 16:57:02.92SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Scalar heat kernel with boundary in the worldline formalism |
| title |
Scalar heat kernel with boundary in the worldline formalism |
| spellingShingle |
Scalar heat kernel with boundary in the worldline formalism Bastianelli, Fiorenzo Ciencias Exactas Física Field theories in higher dimensions Field theories in lower dimensions Sigma models |
| title_short |
Scalar heat kernel with boundary in the worldline formalism |
| title_full |
Scalar heat kernel with boundary in the worldline formalism |
| title_fullStr |
Scalar heat kernel with boundary in the worldline formalism |
| title_full_unstemmed |
Scalar heat kernel with boundary in the worldline formalism |
| title_sort |
Scalar heat kernel with boundary in the worldline formalism |
| dc.creator.none.fl_str_mv |
Bastianelli, Fiorenzo Corradini, Olindo González Pisani, Pablo Andrés Schubert, Christian |
| author |
Bastianelli, Fiorenzo |
| author_facet |
Bastianelli, Fiorenzo Corradini, Olindo González Pisani, Pablo Andrés Schubert, Christian |
| author_role |
author |
| author2 |
Corradini, Olindo González Pisani, Pablo Andrés Schubert, Christian |
| author2_role |
author author author |
| dc.subject.none.fl_str_mv |
Ciencias Exactas Física Field theories in higher dimensions Field theories in lower dimensions Sigma models |
| topic |
Ciencias Exactas Física Field theories in higher dimensions Field theories in lower dimensions Sigma models |
| dc.description.none.fl_txt_mv |
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>. Facultad de Ciencias Exactas Instituto de Física La Plata |
| 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>. |
| publishDate |
2008 |
| dc.date.none.fl_str_mv |
2008 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/84238 |
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http://sedici.unlp.edu.ar/handle/10915/84238 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
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info:eu-repo/semantics/altIdentifier/issn/1126-6708 info:eu-repo/semantics/altIdentifier/doi/10.1088/1126-6708/2008/10/095 |
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openAccess |
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http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
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