Gauge invariant perturbation theory and non-critical string models of Yang-Mills theories

We carry out a gauge invariant analysis of certain perturbations of D − 2-branes solutions of low energy string theories. We get generically a system of second order coupled differential equations, and show that only in very particular cases it is possible to reduce it to just one differential equat...

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Detalles Bibliográficos
Autores principales: Lugo, Adrián René, Sturla, Mauricio
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2010
Materias:
Física
Non-critical supergravity
AdS/CFT correspondence
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132123
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132123
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-critical supergravity
AdS/CFT correspondence
spellingShingle Física
Non-critical supergravity
AdS/CFT correspondence
Lugo, Adrián René
Sturla, Mauricio
Gauge invariant perturbation theory and non-critical string models of Yang-Mills theories
topic_facet Física
Non-critical supergravity
AdS/CFT correspondence
description We carry out a gauge invariant analysis of certain perturbations of D − 2-branes solutions of low energy string theories. We get generically a system of second order coupled differential equations, and show that only in very particular cases it is possible to reduce it to just one differential equation. Later, we apply it to a multi-parameter, generically singular family of constant dilaton solutions of non-critical string theories in D dimensions, a generalization of that recently found in arXiv:0709.0471 [hep-th]. According to arguments coming from the holographic gauge theory-gravity correspondence, and at least in some region of the parameters space, we obtain glue-ball spectra of Yang-Mills theories in diverse dimensions, putting special emphasis in the scalar metric perturbations not considered previously in the literature in the non critical setup. We compare our numerical results to those studied previously and to lattice results, finding qualitative and in some cases, tuning properly the parameters, quantitative agreement. These results seem to show some kind of universality of the models, as well as an irrelevance of the singular character of the solutions. We also develop the analysis for the T-dual, non trivial dilaton family of solutions, showing perfect agreement between them.
format Articulo
Preprint
author Lugo, Adrián René
Sturla, Mauricio
author_facet Lugo, Adrián René
Sturla, Mauricio
author_sort Lugo, Adrián René
title Gauge invariant perturbation theory and non-critical string models of Yang-Mills theories
title_short Gauge invariant perturbation theory and non-critical string models of Yang-Mills theories
title_full Gauge invariant perturbation theory and non-critical string models of Yang-Mills theories
title_fullStr Gauge invariant perturbation theory and non-critical string models of Yang-Mills theories
title_full_unstemmed Gauge invariant perturbation theory and non-critical string models of Yang-Mills theories
title_sort gauge invariant perturbation theory and non-critical string models of yang-mills theories
publishDate 2010
url http://sedici.unlp.edu.ar/handle/10915/132123
work_keys_str_mv AT lugoadrianrene gaugeinvariantperturbationtheoryandnoncriticalstringmodelsofyangmillstheories
AT sturlamauricio gaugeinvariantperturbationtheoryandnoncriticalstringmodelsofyangmillstheories
bdutipo_str Repositorios
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