Hagedorn Instability in Dimensionally Reduced Large-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>Gauge Theories as Gregory-Laflamme and Rayleigh-Plateau Instabilities

We study the maximally supersymmetric BFSS model at finite temperature and its bosonic relative. For the bosonic model in p+1 dimensions, we find that it effectively reduces to a system of gauged Gaussian matrix models. The effective model captures the low temperature regime of the model including one of its two phase transitions. The mass becomes p 1/3 λ 1/3 for large p, with λ the 't Hooft coupling. Simulations of the bosonic-BFSS model with p = 9 give m = (1.965±.007)λ 1/3 , which is also the mass gap of the Hamiltonian. We argue that there is no 'sign' problem in the maximally supersymmetric BFSS model and perform detailed simulations of several observables finding excellent agreement with AdS/CFT predictions when 1/α corrections are included.

“…The dashed curves represent the analytical high temperature behaviour obtained in [26]. Our results agree very well with the corresponding studies in [8,10,22].…”

Section: Phase Structuresupporting

confidence: 81%

Section: Introductionsupporting

confidence: 83%

Section: Phase Structuresupporting

confidence: 52%

Section: Bosonic Bfss On the Latticementioning

confidence: 99%

“…10 Using the gauge from the previous subsection when the holonomy is concentrated on a single link we can write S kin f as:…”

Section: Jhep05(2016)167mentioning

confidence: 99%

See 3 more Smart Citations

The BFSS model on the lattice

Filev

O’Connor

2016

Thermal phase transition in Yang-Mills matrix model

Bergner¹,

Bodendorfer

Hanada

et al. 2020

We study the bosonic matrix model obtained as the high-temperature limit of twodimensional maximally supersymmetric SU(N ) Yang-Mills theory. So far, no consensus about the order of the deconfinement transition in this theory has been reached and this hinders progress in understanding the nature of the black hole/black string topology change from the gauge/gravity duality perspective. On the one hand, previous works considered the deconfinement transition consistent with two transitions which are of second and third order. On the other hand, evidence for a first order transition was put forward more recently. We perform high-statistics lattice Monte Carlo simulations at large N and small lattice spacing to establish that the transition is really of first order. Our findings flag a warning that the required large-N and continuum limit might not have been reached in earlier publications, and that was the source of the discrepancy. Moreover, our detailed results confirm the existence of a new partially deconfined phase which describes nonuniform black strings via the gauge/gravity duality. This phase exhibits universal features already predicted in quantum field theory.1 The U(1) part of the gauge group is decoupled from the SU(N ) part. Therefore, our results in this paper are valid also for the SU(N ) theory. The only technical difference is that the center symmetry becomes Z N instead of U(1). Note also that the U(1) part of the scalars are decoupled. In order to remove the trivial flat direction associated with the U(1) part, we impose β 0 dtX I (t) = 0 for each I.

Partial deconfinement at strong coupling on the lattice

Watanabe

Bergner²,

Bodendorfer

et al. 2021

We provide evidence for partial deconfinement — the deconfinement of a SU(M) subgroup of the SU(N) gauge group — by using lattice Monte Carlo simulations. We take matrix models as concrete examples. By appropriately fixing the gauge, we observe that the M × M submatrices deconfine. This gives direct evidence for partial deconfinement at strong coupling. We discuss the applications to QCD and holography.