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… 
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References

SHOWING 1-10 OF 58 REFERENCES
Black-hole–black-string phase transitions in thermal (1 + 1)-dimensional supersymmetric Yang–Mills theory on a circle
We review and extend earlier work that uses the AdS/CFT correspondence to relate the black-hole-black-string transition of gravitational theories on a circle to a phase transition in maximally
M theory as a matrix model: A Conjecture
We suggest and motivate a precise equivalence between uncompactified 11-dimensional M theory and the N={infinity} limit of the supersymmetric matrix quantum mechanics describing D0 branes. The
Hagedorn instability in dimensionally reduced large-N gauge theories as Gregory-Laflamme and Rayleigh-Plateau instabilities.
TLDR
This work tests the conjecture that the order of the confinement-deconfinement transition associated with the Hagedorn instability may depend on the transverse dimension in the D-dimensional bosonic D0-brane model using numerical simulation and the 1/D expansion, and confirms the expected D dependence.
Anti-de Sitter space
  • thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2
  • 1998
Partial Deconfinement
A bstractWe 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
Precision lattice test of the gauge/gravity duality at large N
We perform a systematic, large-scale lattice simulation of D0-brane quantum mechanics. The large-$N$ and continuum limits of the gauge theory are taken for the first time at various temperatures
The Hagedorn transition
  • deconfinement and N = 4 SYM theory, Nucl. Phys. B 573
  • 2000
A proposal of the gauge theory description of the small Schwarzschild black hole in AdS5 × S5
A bstractBased on 4d N$$ \mathcal{N} $$ = 4 SYM on ℝ1×S3$$ {\mathbb{R}}^1\times {\mathrm{S}}^3 $$, a gauge theory description of a small black hole in AdS5×S5 is proposed. The change of the number of
‘S’
  • P. Alam
  • Composites Engineering: An A–Z Guide
  • 2021
Anatomy of deconfinement
Abstract In the weak coupling limit of SUN 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
...
...