Thermal phase transition in Yang-Mills matrix model

Bergner, Georg; Bodendorfer, Norbert; Hanada, Masanori; Rinaldi, Enrico; Schäfer, Andreas; Vranas, P.

doi:10.1007/jhep01(2020)053

Cited by 32 publications

(72 citation statements)

References 54 publications

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“…Initial studies reported two close thermal phase transitions which were in a good agreement with the results from 1/D (D is the number of matrices) expansion performed in [14]. Later it was realised that in the large-N limit there is only a single phase transition [18], which appears to be of the 1st order. Our study of the bosonic BMN model for µ = 2 agrees with this conclusion [10].…”

Section: Introductionsupporting

confidence: 60%

“…The massless version of the model, the bosonic BFSS model, has been studied extensively both analytically and numerically [13,14,15,16,17,18]. Initial studies reported two close thermal phase transitions which were in a good agreement with the results from 1/D (D is the number of matrices) expansion performed in [14].…”

Section: Introductionmentioning

confidence: 78%

“…At first, it was believed that there are two, closely separated phase transitions, one of the 2nd and one of the 3rd order. The latest research [18], however, reports only a single 1st order phase transition. Our µ = 2 extrapolations to infinite N are in an agreement with a single phase transition which seems to be of the nature of the Hagedorn phase transition, see the figure 5.…”

Section: Thermal Phase Transition(s)mentioning

confidence: 99%

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The nonperturbative phase diagram of the bosonic BMN matrix model

Kováčik¹,

O’Connor²,

Asano³

2020

Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)

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We study the thermal phase transition of the bosonic BMN model which is a mass deformed version of the bosonic part of the BFSS model. Our results connect the massless region of the phase diagram described by the bosonic BFSS model with the large-mass region, where the model is analytically solvable. We observe that at finite value of the matrix size N, the critical region is smeared over a small temperature range. The model has a single critical temperature, this arises as the large N limit of two apparent transitions at finite N. We emphasise the vital role played by finite N corrections in the confined phase and illustrate this with a novel treatment of the noninteracting Gaussian model.

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Section: Introductionsupporting

confidence: 60%

Section: Introductionmentioning

confidence: 78%

Section: Thermal Phase Transition(s)mentioning

confidence: 99%

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The nonperturbative phase diagram of the bosonic BMN matrix model

Kováčik¹,

O’Connor²,

Asano³

2020

Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)

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“…The condition for the Polyakov loop phases (1) is expected by the same assumption. For the bosonic matrix model, the result of the numerical simulation [38] reproduces these relations rather precisely.…”

Section: B Hamiltonian Formulation On Latticementioning

confidence: 66%

Anatomy of deconfinement

Hanada

Jevicki

Peng

et al. 2019

J. High Energ. Phys.

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137

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In the weak coupling limit of SU(N ) Yang-Mills theory and the O(N ) vector model, explicit state counting allows us to demonstrate the existence of a partially deconfined phase: M of N colors deconfine, and M N gradually grows from zero (confinement) to one (complete deconfinement). We point out that the mechanism admits a simple interpretation in the form of spontaneous breaking of gauge symmetry. In terms of the dual gravity theory, such breaking occurs during the formation of a black hole. We speculate whether the breaking and restoration of gauge symmetry can serve as an alternative definition of the deconfinement transition in theories without center symmetry, such as QCD. We also discuss the role of the color degrees of freedom in the emergence of the bulk geometry in holographic duality.

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“…Note added in ver. 5: Recent study[34] suggests the transition is actually of first order (see also Ref [35]…”

mentioning

confidence: 96%

Partial Deconfinement

Hanada

Ishiki

Watanabe

2019

J. High Energ. Phys.

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121

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We argue that the confined and deconfined phases in gauge theories are connected by a partially deconfined phase (i.e. SU(M ) in SU(N ), where M < N , is deconfined), which can be stable or unstable depending on the details of the theory. When this phase is unstable, it is the gauge theory counterpart of the small black hole phase in the dual string theory. Partial deconfinement is closely related to the Gross-Witten-Wadia transition, and is likely to be relevant to the QCD phase transition.The mechanism of partial deconfinement is related to a generic property of a class of systems. As an instructive example, we demonstrate the similarity between the Yang-Mills theory/string theory and a mathematical model of the collective behavior of ants [Beekman et al., Proceedings of the National Academy of Sciences, 2001]. By identifying the D-brane, open string and black hole with the ant, pheromone and ant trail, the dynamics of two systems closely resemble with each other, and qualitatively the same phase structures are obtained.

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Thermal phase transition in Yang-Mills matrix model

Cited by 32 publications

References 54 publications

The nonperturbative phase diagram of the bosonic BMN matrix model

The nonperturbative phase diagram of the bosonic BMN matrix model

Anatomy of deconfinement

Partial Deconfinement

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