Double-Scaling Limit in Principal Chiral Model: a New Non-Critical String?

We initiate a systematic, non-perturbative study of the large-N expansion in the two-dimensional SU(N)×SU(N) principal Chiral model (PCM). Starting with the known infinite-N solution for the ground state at fixed chemical potential, we devise an iterative procedure to solve the Bethe ansatz equation...

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Detalles Bibliográficos
Autores principales: Kazakov, Vladimir, Sobko, Evgeny, Zarembo, Konstantin
Lenguaje:eng
Publicado: 2019
Materias:
hep-th
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1103/PhysRevLett.124.191602
http://cds.cern.ch/record/2704557
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author Kazakov, Vladimir
Sobko, Evgeny
Zarembo, Konstantin
author_facet Kazakov, Vladimir
Sobko, Evgeny
Zarembo, Konstantin
author_sort Kazakov, Vladimir
collection CERN
description We initiate a systematic, non-perturbative study of the large-N expansion in the two-dimensional SU(N)×SU(N) principal Chiral model (PCM). Starting with the known infinite-N solution for the ground state at fixed chemical potential, we devise an iterative procedure to solve the Bethe ansatz equations order by order in 1/N. The first few orders, which we explicitly compute, reveal a systematic enhancement pattern at strong coupling calling for the near-threshold resummation of the large-N expansion. The resulting double-scaling limit bears striking similarities to the c=1 noncritical string theory and suggests that the double-scaled PCM is dual to a noncritical string with a (2+1)-dimensional target space where an additional dimension emerges dynamically from the SU(N) Dynkin diagram.
id cern-2704557
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2019
record_format invenio
spelling cern-27045572023-10-04T06:37:35Zdoi:10.1103/PhysRevLett.124.191602http://cds.cern.ch/record/2704557engKazakov, VladimirSobko, EvgenyZarembo, KonstantinDouble-Scaling Limit in Principal Chiral Model: a New Non-Critical String?hep-thParticle Physics - TheoryWe initiate a systematic, non-perturbative study of the large-N expansion in the two-dimensional SU(N)×SU(N) principal Chiral model (PCM). Starting with the known infinite-N solution for the ground state at fixed chemical potential, we devise an iterative procedure to solve the Bethe ansatz equations order by order in 1/N. The first few orders, which we explicitly compute, reveal a systematic enhancement pattern at strong coupling calling for the near-threshold resummation of the large-N expansion. The resulting double-scaling limit bears striking similarities to the c=1 noncritical string theory and suggests that the double-scaled PCM is dual to a noncritical string with a (2+1)-dimensional target space where an additional dimension emerges dynamically from the SU(N) Dynkin diagram.We initiate a systematic, non-perturbative study of the large-$N$ expansion in the two-dimensional $\text{SU}(N)\times \text{SU}(N)$ Principal Chiral Model (PCM). Starting with the known infinite-$N$ solution for the ground state at fixed chemical potential \cite{Fateev:1994dp,Fateev:1994ai}, we devise an iterative procedure to solve the Bethe ansatz equations order by order in $1/N$. The first few orders, which we explicitly compute, reveal a systematic enhancement pattern at strong coupling calling for the near-threshold resummation of the large-$N$ expansion. The resulting double-scaling limit bears striking similarities to the $c=1$ non-critical string theory and suggests that the double-scaled PCM is dual to a non-critical string with a $(2+1)$-dimensional target space where an additional dimension emerges dynamically from the $\text{SU}(N)$ Dynkin diagram.arXiv:1911.12860oai:cds.cern.ch:27045572019-11-28
spellingShingle hep-th
Particle Physics - Theory
Kazakov, Vladimir
Sobko, Evgeny
Zarembo, Konstantin
Double-Scaling Limit in Principal Chiral Model: a New Non-Critical String?
title Double-Scaling Limit in Principal Chiral Model: a New Non-Critical String?
title_full Double-Scaling Limit in Principal Chiral Model: a New Non-Critical String?
title_fullStr Double-Scaling Limit in Principal Chiral Model: a New Non-Critical String?
title_full_unstemmed Double-Scaling Limit in Principal Chiral Model: a New Non-Critical String?
title_short Double-Scaling Limit in Principal Chiral Model: a New Non-Critical String?
title_sort double-scaling limit in principal chiral model: a new non-critical string?
topic hep-th
Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevLett.124.191602
http://cds.cern.ch/record/2704557
work_keys_str_mv AT kazakovvladimir doublescalinglimitinprincipalchiralmodelanewnoncriticalstring
AT sobkoevgeny doublescalinglimitinprincipalchiralmodelanewnoncriticalstring
AT zarembokonstantin doublescalinglimitinprincipalchiralmodelanewnoncriticalstring

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