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Fraga ES, Krein G, Mizher AJ. Langevin dynamics of the pureSU(2)deconfining transition. Int J Clin Exp Med 2007. [DOI: 10.1103/physrevd.76.034501] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Mócsy A, Sannino F, Tuominen K. Confinement versus chiral symmetry. PHYSICAL REVIEW LETTERS 2004; 92:182302. [PMID: 15169486 DOI: 10.1103/physrevlett.92.182302] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/18/2003] [Indexed: 05/24/2023]
Abstract
We construct an effective Lagrangian which illustrates why color deconfines when chiral symmetry is restored in hot gauge theories with quarks in the fundamental representation. For quarks in the adjoint representation we show that, while deconfinement and the chiral transition do not need to coincide, entanglement between them is still present. Extension to the chemical potential driven transition is discussed.
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Affiliation(s)
- Agnes Mócsy
- The Niels Bohr Institute & NORDITA, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark.
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Parisi G, Sourlas N. Scale invariance in disordered systems: the example of the random-field Ising model. PHYSICAL REVIEW LETTERS 2002; 89:257204. [PMID: 12484914 DOI: 10.1103/physrevlett.89.257204] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/18/2002] [Indexed: 05/24/2023]
Abstract
We show by numerical simulations that the correlation function of the random-field Ising model (RFIM) in the critical region in three dimensions has very strong fluctuations and that in a finite volume the correlation length is not self-averaging. This is due to the formation of a bound state in the underlying field theory. We argue that this nonperturbative phenomenon is not particular to the RFIM in 3D. It is generic for disordered systems in two dimensions and may also happen in other three-dimensional disordered systems.
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Affiliation(s)
- Giorgio Parisi
- Dipartimento di Fisica, INFM, SMC and INFN, Università di Roma La Sapienza, P. A. Moro 2, Italy
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Fukugita M, Mino H, Okawa M, Ukawa A. Resolving the order of phase transitions in Monte Carlo simulations. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/23/11/009] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Guttmann AJ, Enting IG. Series studies of the Potts model: III. The 3-state model on the simple cubic lattice. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/27/17/014] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Hackel M, Faber M, Markum H, Müller M. Interface tension and chiral order parameter profile with dynamical quarks. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1992; 46:5648-5654. [PMID: 10014953 DOI: 10.1103/physrevd.46.5648] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Brower R, Huang S, Potvin J, Rebbi C, Ross J. Numerical study of perfect wetting in quenched QCD. Int J Clin Exp Med 1992; 46:4736-4740. [PMID: 10014845 DOI: 10.1103/physrevd.46.4736] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Brower R, Huang S, Potvin J, Rebbi C. Surface tension of nucleating hadrons using the free energy of an isolated quark. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1992; 46:2703-2708. [PMID: 10015201 DOI: 10.1103/physrevd.46.2703] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Gavai RV, Karsch F. Z(3) criticality in three dimensions: Study of extended Potts models. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:944-954. [PMID: 10003281 DOI: 10.1103/physrevb.46.944] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Fukugita M, Mino H, Okawa M, Ukawa A. Finite-size study of the finite-temperature chiral phase transition in QCD with light quarks. ACTA ACUST UNITED AC 1991. [DOI: 10.1016/0920-5632(91)90920-a] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Alves NA, Berg BA, Villanova R. Potts models: Density of states and mass gap from Monte Carlo calculations. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:5846-5856. [PMID: 9997986 DOI: 10.1103/physrevb.43.5846] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Miller JC, Pantano O. Computations of the growth of hadronic bubbles during the cosmological quark-hadron transition. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1990; 42:3334-3343. [PMID: 10012732 DOI: 10.1103/physrevd.42.3334] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Huang S, Potvin J, Rebbi C, Sanielevici S. Surface tension in finite-temperature quantum chromodynamics. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1990; 42:2864-2874. [PMID: 10013158 DOI: 10.1103/physrevd.42.2864] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Cabasino S, Marzano F, Pech J, Rapuano F, Sarno R, Tross W, Cabibbo N, Fernandez AL, Marinari E, Paolucci P, Parisi G, Salina G, Tarancon A, Todesco GM, Lombardo MP, Tripiccione R, Remiddi E. The ape with a small jump. ACTA ACUST UNITED AC 1990. [DOI: 10.1016/0920-5632(90)90241-l] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Billoire A, Lacaze R, Morel A. The Z3 three dimensional potts model with anti-ferromagnetic admixture. ACTA ACUST UNITED AC 1990. [DOI: 10.1016/0920-5632(90)90243-n] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Fukugita M, Mino H, Okawa M, Ukawa A. Finite-size test for the finite-temperature chiral phase transition in lattice QCD. PHYSICAL REVIEW LETTERS 1990; 65:816-819. [PMID: 10043030 DOI: 10.1103/physrevlett.65.816] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Alves NA, Berg BA, Sanielevici S. Partition-function zeros and the SU(3) deconfining phase transition. PHYSICAL REVIEW LETTERS 1990; 64:3107-3110. [PMID: 10041900 DOI: 10.1103/physrevlett.64.3107] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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McCarthy JF. Determination of the order of phase transitions in numerical simulations. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:9530-9533. [PMID: 9993306 DOI: 10.1103/physrevb.41.9530] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Bhanot GV, Sanielevici S. Binder-Challa-Landau cumulant and lattice gauge theories: The order of the deconfinement transition. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1989; 40:3454-3462. [PMID: 10011715 DOI: 10.1103/physrevd.40.3454] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Fukugita M, Okawa M, Ukawa A. Order of the deconfining phase transition in SU(3) lattice gauge theory. PHYSICAL REVIEW LETTERS 1989; 63:1768-1771. [PMID: 10040668 DOI: 10.1103/physrevlett.63.1768] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Miller JC, Pantano O. Hydrodynamics of the cosmological quark-hadron transition. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1989; 40:1789-1797. [PMID: 10012008 DOI: 10.1103/physrevd.40.1789] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Fukugita M, Okawa M. Correlation length of the three-state Potts model in three dimensions. PHYSICAL REVIEW LETTERS 1989; 63:13-15. [PMID: 10040420 DOI: 10.1103/physrevlett.63.13] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Marinari E. The hadronic mass spectrum and the heavy quark potential in quenched and unquenched QCD. ACTA ACUST UNITED AC 1989. [DOI: 10.1016/0920-5632(89)90103-5] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Berg BA, Villanova R, Vohwinkel C. Correlation length and order of the deconfining phase transition. PHYSICAL REVIEW LETTERS 1989; 62:2433-2435. [PMID: 10039987 DOI: 10.1103/physrevlett.62.2433] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Kogut JB, Sinclair DK. Finite-temperature QCD with intermediate-large quark masses. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1989; 39:636-642. [PMID: 9959679 DOI: 10.1103/physrevd.39.636] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Gavai RV, Potvin J, Sanielevici S. More on the QCD phase diagram at finite temperatures. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1988; 38:3266-3276. [PMID: 9959076 DOI: 10.1103/physrevd.38.3266] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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