Matrix model for deconfinement in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math>gauge theory in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>dimensions

Bicudo, Pedro; Pisarski, Robert D.; Seel, Elina

doi:10.1103/physrevd.89.085020

Cited by 11 publications

(14 citation statements)

References 55 publications

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“…While one could argue that this numerical evidence in a relatively limited temperature range may not be too compelling, it is interesting to note that lattice results reveal the same T 2 -dependence also in 2 + 1 spacetime dimensions [156,157] (for a discussion, see also ref. [189] and references therein). Note that, in the latter case, due to the dimensionful nature of the gauge coupling g, the relation between g 2 and the temperature is linear, rather than logarithmic.…”

Section: Jhep03(2015)057mentioning

confidence: 99%

Exceptional thermodynamics: the equation of state of G2 gauge theory

Bruno

Caselle

Panero

et al. 2015

J. High Energ. Phys.

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We present a lattice study of the equation of state in Yang-Mills theory based on the exceptional G 2 gauge group. As is well-known, at zero temperature this theory shares many qualitative features with real-world QCD, including the absence of colored states in the spectrum and dynamical string breaking at large distances. In agreement with previous works, we show that at finite temperature this theory features a first-order deconfining phase transition, whose nature can be studied by a semi-classical computation. We also show that the equilibrium thermodynamic observables in the deconfined phase bear striking quantitative similarities with those found in SU(N ) gauge theories: in particular, these quantities exhibit nearly perfect proportionality to the number of gluon degrees of freedom, and the trace anomaly reveals a characteristic quadratic dependence on the temperature, also observed in SU(N ) Yang-Mills theories (both in four and in three spacetime dimensions). We compare our lattice data with analytical predictions from effective models, and discuss their implications for the deconfinement mechanism and high-temperature properties of strongly interacting, non-supersymmetric gauge theories. Our results give strong evidence for the conjecture that the thermal deconfining transition is governed by a universal mechanism, common to all simple gauge groups.

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Section: Jhep03(2015)057mentioning

confidence: 99%

Exceptional thermodynamics: the equation of state of G2 gauge theory

Bruno

Caselle

Panero

et al. 2015

J. High Energ. Phys.

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show abstract

“…have been considered as playing a crucial role in forming the rich structure of the realistic QGP near and above T c . In particular the 1/T 2 fat tail of the interaction measure, (ε − 3p)/T 4 , at high temperature (T ∈ [T c , 4T c ]), that is so luring to be interpreted as a mass term, m 2 /T 4 ∼ 1/T 2 , has been given special thoughts by several authors [17,[35][36][37][38]. Also the question of the critical endpoint in the T -μ B plane, signaling the border between a first-order color deconfinement phase transition and a continuous crossover between hadronic resonance gas and QGP, has been studied in deep details relating different susceptibilities to the quality of underlying "freed" color degrees of freedom [39][40][41][42][43][44][45][46][47].…”

Section: Properties Of Quark Mattermentioning

confidence: 99%

Nuclear and quark matter at high temperature

2017

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Abstract.We review important ideas on nuclear and quark matter description on the basis of hightemperature field theory concepts, like resummation, dimensional reduction, interaction scale separation and spectral function modification in media. Statistical and thermodynamical concepts are spotted in the light of these methods concentrating on the -partially still open-problems of the hadronization process.

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“…However, explicit calculation shows that the power of the dominant contribution should be related to the dimension of the operator dual to the dilaton field [26]. It is also proposed that such a term could be completely due to the leading perturbative corrections [47]. Our present calculation shows that for any space dimension d ≥ 1, the quadratic term in inverse temperature makes the dominant contribution to ∆/T d .…”

Section: Results For Lower Spacetime Dimensionsmentioning

confidence: 56%

Quadratic thermal terms in the deconfined phase from holography

Zuo

Gao

2014

J. High Energ. Phys.

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Recent lattice simulation has uncovered many interesting properties of SU(N ) gauge theory at finite temperature. Especially, above the deconfinement phase transition all the thermodynamic quantities acquire significant quadratic contributions in inverse temperature. Such a term is also found to dominate the logarithm of the renormalized Polyakov loop. Using the Hawking-Page transition in Anti-de Sitter space as an example, we show how such contributions can be naturally generated in the holographic approach.

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Matrix model for deconfinement in aSU(Nc)gauge theory in2+1dimensions

Cited by 11 publications

References 55 publications

Exceptional thermodynamics: the equation of state of G2 gauge theory

Exceptional thermodynamics: the equation of state of G2 gauge theory

Nuclear and quark matter at high temperature

Quadratic thermal terms in the deconfined phase from holography

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