Thermodynamics of QCD from Sakai-Sugimoto model

A bstract Till date, the only consistent description of the deconfinement phase of the Sakai-Sugimoto model appears to be provided by the analysis of [1]. The current version of the analysis, however, has a subtlety regarding the monodromy of quarks around the Euclidean time circle. In this note, we...

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Veröffentlicht in:The journal of high energy physics 2015-12, Vol.2015 (12), p.1-19
Hauptverfasser: Isono, Hiroshi, Mandal, Gautam, Morita, Takeshi
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container_title The journal of high energy physics
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creator Isono, Hiroshi
Mandal, Gautam
Morita, Takeshi
description A bstract Till date, the only consistent description of the deconfinement phase of the Sakai-Sugimoto model appears to be provided by the analysis of [1]. The current version of the analysis, however, has a subtlety regarding the monodromy of quarks around the Euclidean time circle. In this note, we revisit and resolve this issue by considering the effect of an imaginary baryon chemical potential on quark monodromies. With this ingredient, the proposal of [1] for investigating finite temperature QCD using holography is firmly established. Additionally, our technique allows a holographic computation of the free energy as a function of the imaginary chemical potential in the deconfinement phase; we show that our result agrees with the corresponding formula obtained from perturbative QCD, namely the Roberge-Weiss potential.
doi_str_mv 10.1007/JHEP12(2015)006
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subjects Chemical potential
Classical and Quantum Gravitation
Elementary Particles
Free energy
High energy physics
Holography
Mathematical analysis
Mathematical models
Physics
Physics and Astronomy
Proposals
Quantum chromodynamics
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quarks
Regular Article - Theoretical Physics
Relativity Theory
String Theory
title Thermodynamics of QCD from Sakai-Sugimoto model
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