Boundaries in the Moyal plane

We study the oscillations of a scalar field on a noncommutative disc implementing the boundary as the limit case of an interaction with an appropriately chosen confining background. The space of quantum fluctuations of the field is finite dimensional and displays the rotational and parity symmetry o...

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Detalles Bibliográficos
Autores principales: Falomir, Horacio Alberto, Franchino Viñas, Sebastián A., González Pisani, Pablo Andrés, Vega, Federico Gaspar
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2013
Materias:
Física
Non-commutative geometry
Field theories in lower dimensions
Boundary quantum field theory
Matrix models
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/99344
https://ri.conicet.gov.ar/11336/23638
http://link.springer.com/article/10.1007%2FJHEP12%282013%29024
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-99344
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Non-commutative geometry
Field theories in lower dimensions
Boundary quantum field theory
Matrix models
spellingShingle Física
Non-commutative geometry
Field theories in lower dimensions
Boundary quantum field theory
Matrix models
Falomir, Horacio Alberto
Franchino Viñas, Sebastián A.
González Pisani, Pablo Andrés
Vega, Federico Gaspar
Boundaries in the Moyal plane
topic_facet Física
Non-commutative geometry
Field theories in lower dimensions
Boundary quantum field theory
Matrix models
description We study the oscillations of a scalar field on a noncommutative disc implementing the boundary as the limit case of an interaction with an appropriately chosen confining background. The space of quantum fluctuations of the field is finite dimensional and displays the rotational and parity symmetry of the disc. We perform a numerical evaluation of the (finite) Casimir energy and obtain similar results as for the fuzzy sphere and torus.
format Articulo
Preprint
author Falomir, Horacio Alberto
Franchino Viñas, Sebastián A.
González Pisani, Pablo Andrés
Vega, Federico Gaspar
author_facet Falomir, Horacio Alberto
Franchino Viñas, Sebastián A.
González Pisani, Pablo Andrés
Vega, Federico Gaspar
author_sort Falomir, Horacio Alberto
title Boundaries in the Moyal plane
title_short Boundaries in the Moyal plane
title_full Boundaries in the Moyal plane
title_fullStr Boundaries in the Moyal plane
title_full_unstemmed Boundaries in the Moyal plane
title_sort boundaries in the moyal plane
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/99344
https://ri.conicet.gov.ar/11336/23638
http://link.springer.com/article/10.1007%2FJHEP12%282013%29024
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AT franchinovinassebastiana boundariesinthemoyalplane
AT gonzalezpisanipabloandres boundariesinthemoyalplane
AT vegafedericogaspar boundariesinthemoyalplane
bdutipo_str Repositorios
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