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Strong coupling effective Higgs potential and a first order thermal phase transition from AdS/CFT duality

Strong coupling effective Higgs potential and a first order thermal phase transition from AdS/CFT duality
Strong coupling effective Higgs potential and a first order thermal phase transition from AdS/CFT duality
We use anti–de Sitter/conformal field theory duality to study the thermodynamics of a strongly coupled [script N]=2 supersymmetric large Nc SU(Nc) gauge theory with Nf=2 fundamental hypermultiplets. At finite temperature T and isospin chemical potential µ, a potential on the Higgs branch is generated, corresponding to a potential on the moduli space of instantons in the anti–de Sitter description. For µ=0, there is a known first order phase transition around a critical temperature Tc. We find that the Higgs vacuum expectation value is a suitable order parameter for this transition; for T>Tc, the theory is driven to a nontrivial point on the Higgs branch. For µ[not-equal]0 and T=0, the Higgs potential is unbounded from below, leading to an instability of the field theory due to Bose-Einstein condensation.
1550-7998
126002-[11pp]
Apreda, Riccardo
9b4731a3-8aab-4cf8-acb3-eb78968a67e6
Erdmenger, Johanna
a6829342-7960-44ea-b502-fe531cde3f33
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Guralnik, Zachary
2ad39840-883e-4037-8f19-46dc0c307bd8
Apreda, Riccardo
9b4731a3-8aab-4cf8-acb3-eb78968a67e6
Erdmenger, Johanna
a6829342-7960-44ea-b502-fe531cde3f33
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Guralnik, Zachary
2ad39840-883e-4037-8f19-46dc0c307bd8

Apreda, Riccardo, Erdmenger, Johanna, Evans, Nick and Guralnik, Zachary (2005) Strong coupling effective Higgs potential and a first order thermal phase transition from AdS/CFT duality. Physical Review D, 71 (12), 126002-[11pp]. (doi:10.1103/PhysRevD.71.126002).

Record type: Article

Abstract

We use anti–de Sitter/conformal field theory duality to study the thermodynamics of a strongly coupled [script N]=2 supersymmetric large Nc SU(Nc) gauge theory with Nf=2 fundamental hypermultiplets. At finite temperature T and isospin chemical potential µ, a potential on the Higgs branch is generated, corresponding to a potential on the moduli space of instantons in the anti–de Sitter description. For µ=0, there is a known first order phase transition around a critical temperature Tc. We find that the Higgs vacuum expectation value is a suitable order parameter for this transition; for T>Tc, the theory is driven to a nontrivial point on the Higgs branch. For µ[not-equal]0 and T=0, the Higgs potential is unbounded from below, leading to an instability of the field theory due to Bose-Einstein condensation.

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Published date: 9 June 2005

Identifiers

Local EPrints ID: 56996
URI: https://eprints.soton.ac.uk/id/eprint/56996
ISSN: 1550-7998
PURE UUID: afca763e-1bfa-481e-8afe-1500dce2de9d

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Date deposited: 13 Aug 2008
Last modified: 13 Mar 2019 20:34

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