Built on

M. Hanada, A. Jevicki, C. Peng and N. Wintergerst, Anatomy of Deconfinement , JHEP 12
Original
1909
Earlier work this paper cites.
G. Bergner, N. Bodendorfer, M. Hanada, E. Rinaldi, A. Schäfer and P. Vranas, Thermal phase transition in Yang-Mills matrix model , JHEP 01
Original
1909
Earlier work this paper cites.
E. A. Mazenc and D. Ranard, Target Space Entanglement Entropy , 1910.07449
Original
1910
Earlier work this paper cites.
M. Hanada and B. Robinson, Partial-Symmetry-Breaking Phase Transitions , 1911.06223
Original
1911
Earlier work this paper cites.
A. Einstein, Quantentheorie des einatomigen idealen gases , S-B Preuss. Akad. Berlin (1924)
1924
Earlier work this paper cites.
F. London, The λ \lambda -Phenomenon of Liquid Helium and the Bose-Einstein Degeneracy , Nature 141
1938
Earlier work this paper cites.
R. P. Feynman, Atomic theory of the λ \lambda transition in helium , Phys. Rev. 91
1953
Earlier work this paper cites.
O. Penrose and L. Onsager, Bose-Einstein Condensation and Liquid Helium , Phys. Rev. 104
1956
Earlier work this paper cites.
J. D. Bekenstein, Black holes and entropy , Phys. Rev. D7
1973
Earlier work this paper cites.
S. W. Hawking, Particle Creation by Black Holes , Commun. Math. Phys. 43
1975
Earlier work this paper cites.
E. Witten, The 1/n expansion in atomic and particle physics , in Recent developments in gauge theories , pp. 403–419, Springer, (1980)
1980
Earlier work this paper cites.
T. Eguchi and H. Kawai, Reduction of Dynamical Degrees of Freedom in the Large N Gauge Theory , Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
S. Duane, A. D. Kennedy, B. J. Pendleton and D. Roweth, Hybrid Monte Carlo , Phys. Lett. B195
1987
Earlier work this paper cites.
B. de Wit, J. Hoppe and H. Nicolai, On the Quantum Mechanics of Supermembranes , Nucl. Phys. B305
1988
Earlier work this paper cites.
R. Gopakumar and D. J. Gross, Mastering the master field , Nucl. Phys. B451
1995
Earlier work this paper cites.
T. Banks, W. Fischler, S. H. Shenker and L. Susskind, M theory as a matrix model: A Conjecture , Phys. Rev. D55
1997
Earlier work this paper cites.
N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, A Large N reduced model as superstring , Nucl. Phys. B 498
1997
Earlier work this paper cites.
E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories , Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
N. Itzhaki, J. M. Maldacena, J. Sonnenschein and S. Yankielowicz, Supergravity and the large N limit of theories with sixteen supercharges , Phys. Rev. D58
1998
Earlier work this paper cites.
H. Aoki, S. Iso, H. Kawai, Y. Kitazawa and T. Tada, Space-time structures from IIB matrix model , Prog. Theor. Phys. 99
1998
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity , Phys. Rept. 323
2000
Earlier work this paper cites.
B. Sundborg, The Hagedorn transition, deconfinement and N=4 SYM theory , Nucl. Phys. B573
2000
Earlier work this paper cites.
Y. Makeenko, Large N gauge theories , NATO Sci. Ser. C 556
2000
Earlier work this paper cites.

Similar

M. Hanada, H. Shimada and N. Wintergerst, Color Confinement and Bose-Einstein Condensation , 2001.10459
Original
2001
Cited alongside, same era.
T. Morita and H. Yoshida, A Critical Dimension in One-dimensional Large-N Reduced Models , 2001.02109
Original
2001
Cited alongside, same era.
F. Alet, M. Hanada, A. Jevicki and C. Peng, Entanglement and Confinement in Coupled Quantum Systems , 2001.03158
Original
2001
Cited alongside, same era.
D. Elander, A. F. Faedo, D. Mateos and J. G. Subils, Phase transitions in a three-dimensional analogue of Klebanov-Strassler , 2002.08279
Original
2002
Cited alongside, same era.
J. Nishimura and F. Sugino, Dynamical generation of four-dimensional space-time in the IIB matrix model , JHEP 05

Then

C. Asplund, D. Berenstein and D. Trancanelli, Evidence for fast thermalization in the plane-wave matrix model , Phys. Rev. Lett. 107
Original
2011
Later among the works it cites.
B. Swingle, Entanglement Renormalization and Holography , Phys. Rev. D 86
Original
2012
Later among the works it cites.
S.-W. Kim, J. Nishimura and A. Tsuchiya, Late time behaviors of the expanding universe in the IIB matrix model , JHEP 10
Original
2012
Later among the works it cites.
A. Bazavov and P. Petreczky, Polyakov loop in 2+1 flavor QCD , Phys. Rev. D 87
Original
2013
Later among the works it cites.
C. T. Asplund, D. Berenstein and E. Dzienkowski, Large N classical dynamics of holographic matrix models , Phys. Rev. D87

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2020

Partial Deconfinement at Strong Coupling on the Lattice

Watanabe, Hiromasa, Bergner, Georg, Bodendorfer, Norbert et al.

Understand

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 $M\times M$ submatrices deconfine.
This gives direct evidence for partial deconfinement at strong coupling.

Built on

M. Hanada, A. Jevicki, C. Peng and N. Wintergerst, Anatomy of Deconfinement , JHEP 12
Original
1909
Earlier work this paper cites.
G. Bergner, N. Bodendorfer, M. Hanada, E. Rinaldi, A. Schäfer and P. Vranas, Thermal phase transition in Yang-Mills matrix model , JHEP 01
Original
1909
Earlier work this paper cites.
E. A. Mazenc and D. Ranard, Target Space Entanglement Entropy , 1910.07449
Original
1910
Earlier work this paper cites.
M. Hanada and B. Robinson, Partial-Symmetry-Breaking Phase Transitions , 1911.06223
Original
1911
Earlier work this paper cites.
A. Einstein, Quantentheorie des einatomigen idealen gases , S-B Preuss. Akad. Berlin (1924)
1924
Earlier work this paper cites.
F. London, The λ \lambda -Phenomenon of Liquid Helium and the Bose-Einstein Degeneracy , Nature 141
1938
Earlier work this paper cites.
R. P. Feynman, Atomic theory of the λ \lambda transition in helium , Phys. Rev. 91
1953
Earlier work this paper cites.
O. Penrose and L. Onsager, Bose-Einstein Condensation and Liquid Helium , Phys. Rev. 104
1956
Earlier work this paper cites.
J. D. Bekenstein, Black holes and entropy , Phys. Rev. D7
1973
Earlier work this paper cites.
S. W. Hawking, Particle Creation by Black Holes , Commun. Math. Phys. 43
1975
Earlier work this paper cites.
E. Witten, The 1/n expansion in atomic and particle physics , in Recent developments in gauge theories , pp. 403–419, Springer, (1980)
1980
Earlier work this paper cites.
T. Eguchi and H. Kawai, Reduction of Dynamical Degrees of Freedom in the Large N Gauge Theory , Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
S. Duane, A. D. Kennedy, B. J. Pendleton and D. Roweth, Hybrid Monte Carlo , Phys. Lett. B195
1987
Earlier work this paper cites.
B. de Wit, J. Hoppe and H. Nicolai, On the Quantum Mechanics of Supermembranes , Nucl. Phys. B305
1988
Earlier work this paper cites.
R. Gopakumar and D. J. Gross, Mastering the master field , Nucl. Phys. B451
1995
Earlier work this paper cites.
T. Banks, W. Fischler, S. H. Shenker and L. Susskind, M theory as a matrix model: A Conjecture , Phys. Rev. D55
1997
Earlier work this paper cites.
N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, A Large N reduced model as superstring , Nucl. Phys. B 498
1997
Earlier work this paper cites.
E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories , Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
N. Itzhaki, J. M. Maldacena, J. Sonnenschein and S. Yankielowicz, Supergravity and the large N limit of theories with sixteen supercharges , Phys. Rev. D58
1998
Earlier work this paper cites.
H. Aoki, S. Iso, H. Kawai, Y. Kitazawa and T. Tada, Space-time structures from IIB matrix model , Prog. Theor. Phys. 99
1998
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity , Phys. Rept. 323
2000
Earlier work this paper cites.
B. Sundborg, The Hagedorn transition, deconfinement and N=4 SYM theory , Nucl. Phys. B573
2000
Earlier work this paper cites.
Y. Makeenko, Large N gauge theories , NATO Sci. Ser. C 556
2000
Earlier work this paper cites.

Similar

M. Hanada, H. Shimada and N. Wintergerst, Color Confinement and Bose-Einstein Condensation , 2001.10459
Original
2001
Cited alongside, same era.
T. Morita and H. Yoshida, A Critical Dimension in One-dimensional Large-N Reduced Models , 2001.02109
Original
2001
Cited alongside, same era.
F. Alet, M. Hanada, A. Jevicki and C. Peng, Entanglement and Confinement in Coupled Quantum Systems , 2001.03158
Original
2001
Cited alongside, same era.
D. Elander, A. F. Faedo, D. Mateos and J. G. Subils, Phase transitions in a three-dimensional analogue of Klebanov-Strassler , 2002.08279
Original
2002
Cited alongside, same era.
J. Nishimura and F. Sugino, Dynamical generation of four-dimensional space-time in the IIB matrix model , JHEP 05

Then

C. Asplund, D. Berenstein and D. Trancanelli, Evidence for fast thermalization in the plane-wave matrix model , Phys. Rev. Lett. 107
Original
2011
Later among the works it cites.
B. Swingle, Entanglement Renormalization and Holography , Phys. Rev. D 86
Original
2012
Later among the works it cites.
S.-W. Kim, J. Nishimura and A. Tsuchiya, Late time behaviors of the expanding universe in the IIB matrix model , JHEP 10
Original
2012
Later among the works it cites.
A. Bazavov and P. Petreczky, Polyakov loop in 2+1 flavor QCD , Phys. Rev. D 87
Original
2013
Later among the works it cites.
C. T. Asplund, D. Berenstein and E. Dzienkowski, Large N classical dynamics of holographic matrix models , Phys. Rev. D87

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2002

Cited alongside, same era.

D. E. Berenstein, J. M. Maldacena and H. S. Nastase, Strings in flat space and pp waves from N=4 superYang-Mills , JHEP 04

2002

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J. M. Maldacena, Eternal black holes in anti-de Sitter , JHEP 04

2003

Cited alongside, same era.

D. Schaich, R. G. Jha and A. Joseph, Thermal phase structure of a supersymmetric matrix model , PoS LATTICE2019

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2003

Cited alongside, same era.

O. Aharony, J. Marsano, S. Minwalla and T. Wiseman, Black hole-black string phase transitions in thermal 1+1 dimensional supersymmetric Yang-Mills theory on a circle , Class. Quant. Grav. 21

2004

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2004

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H. J. Schnitzer, Confinement/deconfinement transition of large N gauge theories with N(f) fundamentals: N(f)/N finite , Nucl. Phys. B 695

2004

Cited alongside, same era.

B. Lucini, M. Teper and U. Wenger, The High temperature phase transition in SU(N) gauge theories , JHEP 01

2004

Cited alongside, same era.

Original

2013

Later among the works it cites.

T. Azuma, T. Morita and S. Takeuchi, Hagedorn Instability in Dimensionally Reduced Large-N Gauge Theories as Gregory-Laflamme and Rayleigh-Plateau Instabilities , Phys. Rev. Lett. 113