Worldline approach to the Grosse-Wulkenhaar model

We apply the worldline formalism to the Grosse-Wulkenhaar model and obtain an expression for the one-loop effective action which provides an efficient way for computing Schwinger functions in this theory. Using this expression we obtain the quantum corrections to the effective background and the β-f...

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Autores principales: Franchino Viñas, Sebastián A., González Pisani, Pablo Andrés
Formato: Articulo
Lenguaje:Inglés
Publicado: 2014
Materias:
Ciencias Exactas
Física
Field Theories in Higher Dimensions
Non-Commutative Geometry
Renormalization Regularization and Renormalons
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/85150
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-85150
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Field Theories in Higher Dimensions
Non-Commutative Geometry
Renormalization Regularization and Renormalons
spellingShingle Ciencias Exactas
Física
Field Theories in Higher Dimensions
Non-Commutative Geometry
Renormalization Regularization and Renormalons
Franchino Viñas, Sebastián A.
González Pisani, Pablo Andrés
Worldline approach to the Grosse-Wulkenhaar model
topic_facet Ciencias Exactas
Física
Field Theories in Higher Dimensions
Non-Commutative Geometry
Renormalization Regularization and Renormalons
description We apply the worldline formalism to the Grosse-Wulkenhaar model and obtain an expression for the one-loop effective action which provides an efficient way for computing Schwinger functions in this theory. Using this expression we obtain the quantum corrections to the effective background and the β-functions, which are known to vanish at the self-dual point. The case of degenerate noncommutativity is also considered. Our main result can be straightforwardly applied to any polynomial self-interaction of the scalar field and we consider that the worldline approach could be useful for studying effective actions of noncommutative gauge fields as well as in other non-local models or in higher-derivative field theories.
format Articulo
Articulo
author Franchino Viñas, Sebastián A.
González Pisani, Pablo Andrés
author_facet Franchino Viñas, Sebastián A.
González Pisani, Pablo Andrés
author_sort Franchino Viñas, Sebastián A.
title Worldline approach to the Grosse-Wulkenhaar model
title_short Worldline approach to the Grosse-Wulkenhaar model
title_full Worldline approach to the Grosse-Wulkenhaar model
title_fullStr Worldline approach to the Grosse-Wulkenhaar model
title_full_unstemmed Worldline approach to the Grosse-Wulkenhaar model
title_sort worldline approach to the grosse-wulkenhaar model
publishDate 2014
url http://sedici.unlp.edu.ar/handle/10915/85150
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AT gonzalezpisanipabloandres worldlineapproachtothegrossewulkenhaarmodel
bdutipo_str Repositorios
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