Springer Berlin Heidelberg
Berlin/Heidelberg
Springer
13130
10.1007/13130.1029-8479
1029-8479
32745009
Journal of High Energy Physics
J. High Energ. Phys.
Physics
Elementary Particles, Quantum Field Theory
Quantum Field Theories, String Theory
Classical and Quantum Gravitation, Relativity Theory
Quantum Physics
Physics and Astronomy
2020
2020
12
1
1
47
2020
1
2020
The Author(s)
2020
12125
1909.04592
10.1007/JHEP01(2020)053
53
53
Thermal phase transition in Yang-Mills matrix model
Regular Article - Theoretical Physics
1
32
2020
1
10
2019
11
2
2019
12
22
2020
1
10
The Author(s)
2020
13130
2020
2020
1
1
Georg
Bergner
georg.bergner@uni-jena.de
Norbert
Bodendorfer
Norbert.Bodendorfer@physik.uni-regensburg.de
Masanori
Hanada
M.Hanada@soton.ac.uk
Enrico
Rinaldi
enrico.rinaldi@arithmer.co.jp
Andreas
Schäfer
Andreas.Schaefer@physik.uni-regensburg.de
Pavlos
Vranas
vranas2@llnl.gov
grid.9613.d
0000 0001 1939 2794
Institute for Theoretical Physics
University of Jena
Max-Wien-Platz 1
D-07743
Jena
Germany
grid.7727.5
0000 0001 2190 5763
Institute of Theoretical Physics
University of Regensburg
Universitätsstrasse 31
D-93053
Regensburg
Germany
grid.5491.9
0000 0004 1936 9297
School of Physics and Astronomy and STAG Research Centre
University of Southampton
Southampton
SO17 1BJ
U.K.
R&D Headquarters
Arithmer Inc.
Minato
Tokyo
106-6040
Japan
grid.7597.c
0000000094465255
Interdisciplinary Theoretical and Mathematical Sciences Program
RIKEN
Wako
Saitama
351-0198
Japan
grid.250008.f
0000 0001 2160 9702
Nuclear and Chemical Sciences Division
Lawrence Livermore National Laboratory
Livermore
CA
94550
USA
grid.184769.5
0000 0001 2231 4551
Nuclear Science Division
Lawrence Berkeley National Laboratory
Berkeley
CA
94720
USA
Abstract
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 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 non-uniform black strings via the gauge/gravity duality. This phase exhibits universal features already predicted in quantum field theory.
Keywords
Gauge-gravity correspondence
Lattice Quantum Field Theory
M(atrix) Theories
ArXiv ePrint:
1909.04592