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Title: Anatomy of deconfinement

Abstract

In the weak coupling limit of $${\rm SU}(N)$$ Yang-Mills theory and the $${\rm O}(N)$$ vector model, explicit state counting allows us to demonstrate the existence of a partially deconfined phase: $M$ of $N$ colors deconfine, and $$\frac{M}{N}$$ gradually grows from zero (confinement) to one (complete deconfinement). We point out that the mechanism admits a simple interpretation in the form of spontaneous breaking of gauge symmetry. In terms of the dual gravity theory, such breaking occurs during the formation of a black hole. We speculate whether the breaking and restoration of gauge symmetry can serve as an alternative definition of the deconfinement transition in theories without center symmetry, such as QCD. We also discuss the role of the color degrees of freedom in the emergence of the bulk geometry in holographic duality.

Authors:
 [1];  [2];  [3];  [4]
  1. Univ. of Southampton (United Kingdom)
  2. Brown Univ., Providence, RI (United States)
  3. Brown Univ., Providence, RI (United States); Univ. of California, Davis, CA (United States)
  4. Univ. of Copenhagen (Denmark). The Niels Bohr Inst.
Publication Date:
Research Org.:
Brown Univ., Providence, RI (United States); Univ. of California, Davis, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1596977
Grant/Contract Number:  
[SC0010010; SC0019480]
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
[Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 12]; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Black Holes in String Theory; Gauge-gravity correspondence

Citation Formats

Hanada, Masanori, Jevicki, Antal, Peng, Cheng, and Wintergerst, Nico. Anatomy of deconfinement. United States: N. p., 2019. Web. doi:10.1007/JHEP12(2019)167.
Hanada, Masanori, Jevicki, Antal, Peng, Cheng, & Wintergerst, Nico. Anatomy of deconfinement. United States. doi:10.1007/JHEP12(2019)167.
Hanada, Masanori, Jevicki, Antal, Peng, Cheng, and Wintergerst, Nico. Mon . "Anatomy of deconfinement". United States. doi:10.1007/JHEP12(2019)167. https://www.osti.gov/servlets/purl/1596977.
@article{osti_1596977,
title = {Anatomy of deconfinement},
author = {Hanada, Masanori and Jevicki, Antal and Peng, Cheng and Wintergerst, Nico},
abstractNote = {In the weak coupling limit of ${\rm SU}(N)$ Yang-Mills theory and the ${\rm O}(N)$ vector model, explicit state counting allows us to demonstrate the existence of a partially deconfined phase: $M$ of $N$ colors deconfine, and $\frac{M}{N}$ gradually grows from zero (confinement) to one (complete deconfinement). We point out that the mechanism admits a simple interpretation in the form of spontaneous breaking of gauge symmetry. In terms of the dual gravity theory, such breaking occurs during the formation of a black hole. We speculate whether the breaking and restoration of gauge symmetry can serve as an alternative definition of the deconfinement transition in theories without center symmetry, such as QCD. We also discuss the role of the color degrees of freedom in the emergence of the bulk geometry in holographic duality.},
doi = {10.1007/JHEP12(2019)167},
journal = {Journal of High Energy Physics (Online)},
number = [12],
volume = [2019],
place = {United States},
year = {2019},
month = {12}
}

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Works referenced in this record:

A proposal of the gauge theory description of the small Schwarzschild black hole in AdS5 × S5
journal, February 2017

  • Hanada, Masanori; Maltz, Jonathan
  • Journal of High Energy Physics, Vol. 2017, Issue 2
  • DOI: 10.1007/JHEP02(2017)012

Submatrix deconfinement and small black holes in AdS
journal, September 2018


A microscopic description of black hole evaporation via holography
journal, October 2016

  • Berkowitz, Evan; Hanada, Masanori; Maltz, Jonathan
  • International Journal of Modern Physics D, Vol. 25, Issue 12
  • DOI: 10.1142/S0218271816440028

Small AdS black holes from SYM
journal, March 2009


Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
journal, January 1998


Large N field theories, string theory and gravity
journal, January 2000


Phase transition between disordered and ordered foraging in Pharaoh's ants
journal, August 2001

  • Beekman, M.; Sumpter, D. J. T.; Ratnieks, F. L. W.
  • Proceedings of the National Academy of Sciences, Vol. 98, Issue 17
  • DOI: 10.1073/pnas.161285298

The Hagedorn transition, deconfinement and SYM theory
journal, May 2000


The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories
journal, January 2004

  • Aharony, Ofer; Marsano, Joseph; Minwalla, Shiraz
  • Advances in Theoretical and Mathematical Physics, Vol. 8, Issue 4
  • DOI: 10.4310/ATMP.2004.v8.n4.a1

Confinement/deconfinement transition of large N gauge theories with fundamentals: finite
journal, September 2004


Toward holographic reconstruction of bulk geometry from lattice simulations
journal, February 2018

  • Rinaldi, Enrico; Berkowitz, Evan; Hanada, Masanori
  • Journal of High Energy Physics, Vol. 2018, Issue 2
  • DOI: 10.1007/JHEP02(2018)042

Building up spacetime with quantum entanglement
journal, June 2010


Renormalization group approach to matrix models
journal, August 1992


Lecture notes on holographic renormalization
journal, November 2002


Entropy and area
journal, August 1993


The order of the quantum chromodynamics transition predicted by the standard model of particle physics
journal, October 2006


Chiral-Symmetry Breakdown in Large- N Chromodynamics
journal, July 1980


The alignment of the vacuum in theories of technicolor
journal, November 1980