# Thermal phase transition in Yang-Mills matrix model

@article{Bergner2020ThermalPT, title={Thermal phase transition in Yang-Mills matrix model}, author={Georg Bergner and Norbert Bodendorfer and Masanori Hanada and Enrico Rinaldi and Andreas Sch{\"a}fer and Pavlos Vranas}, journal={Journal of High Energy Physics}, year={2020} }

We study the bosonic matrix model obtained as the high-temperature limit of two-dimensional 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…

## 20 Citations

Confinement/deconfinement transition in the D0-brane matrix model — A signature of M-theory?

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We study the confinement/deconfinement transition in the D0-brane matrix model (often called the BFSS matrix model) and its one-parameter deformation (the BMN matrix model) numerically by…

The nonperturbative phase diagram of the bosonic BMN matrix model

- PhysicsProceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)
- 2020

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…

The confining transition in the bosonic BMN matrix model

- Physics
- 2020

We study the confining/deconfining phase transition in the mass deformed Yang-Mills matrix model which is obtained by the dimensional reduction of the bosonic sector of the four-dimensional maximally…

A Critical Dimension in One-dimensional Large-N Reduced Models

- Physics
- 2020

We investigate critical phenomena of the Yang-Mills (YM) type one-dimensional matrix model that is a large-$N$ reduction (or dimensional reduction) of the $D+1$ dimensional $U(N)$ pure YM theory…

Matrix Entanglement

- Physics
- 2022

In gauge/gravity duality, matrix degrees of freedom on the gauge theory side play important roles for the emergent geometry. In this paper, we discuss how the entanglement on the gravity side can be…

Non-perturbative phase structure of the bosonic BMN matrix model

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We study the bosonic part of the BMN matrix model for wide ranges of temperatures, values of the deformation parameter, and numbers of colors 16 ≤ N ≤ 48. Using lattice computations, we…

Strongly coupled matrix theory and stochastic quantization: A new approach to holographic dualities

- PhysicsPhysical Review D
- 2022

Stochastic quantization provides an alternate approach to the computation of quantum observables, by stochastically sampling phase space in a path integral. Furthermore, the stochastic variational…

Bulk geometry in gauge/gravity duality and color degrees of freedom

- Physics
- 2021

U(N) supersymmetric Yang-Mills theory naturally appears as the low-energy effective theory of a system of N D-branes and open strings between them. Transverse spatial directions emerge from scalar…

Color confinement and Bose-Einstein condensation

- PhysicsJournal of High Energy Physics
- 2021

Abstract
We propose a unified description of two important phenomena: color confinement in large-N gauge theory, and Bose-Einstein condensation (BEC). We focus on the confinement/deconfinement…

From Hagedorn to Lee-Yang : partition functions of N = 4 SYM theory at finite N

- Physics
- 2020

We study the thermodynamics of the maximally supersymmetric Yang-Mills theory with gauge group U(N) on R×S3, dual to type IIB superstring theory on AdS5×S. While both theories are well-known to…

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