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We study analytically the phase diagram of the pure $SU(N)$ lattice gauge theory at finite temperature, and we attempt to estimate the critical deconfinement temperature. We apply large $N$ techniques to the Wilson and to the Heat Kernel…

High Energy Physics - Lattice · Physics 2009-10-22 M. Billo' , M. Caselle , A. D'Adda , L. Magnea , S. Panzeri

Due to the Gauss law, a single quark cannot exist in a periodic volume, while it can exist with C-periodic boundary conditions. In a C-periodic cylinder of cross section A = L_x L_y and length L_z >> L_x, L_y containing deconfined gluons,…

High Energy Physics - Lattice · Physics 2009-10-30 K. Holland , U. -J. Wiese

The cosmological QCD phase transition is studied in terms of the color confinement at finite temperature using the dual Higgs theory of QCD. The confinement force is largely reduced at high temperature, which leads to the swelling of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hideo Suganuma , Hiroko Ichie , Hideko Monden , Shoichi Sasaki , Manabu Orito , Tadahiro Yamamoto , Toshitaka Kajino

In different approaches, the temperature-baryon density plane of QCD matter is studied for deconfinement and chemical freezeout boundaries. Results from various heavy-ion experiments are compared with the recent lattice simulations, the…

High Energy Physics - Phenomenology · Physics 2020-03-03 Abdel Nasser Tawfik , Muhammad Maher , A. H. El-Kateb , Sara Abdelaziz

In this thesis the finite temperature transition between confined and deconfined matter is studied at zero and nonzero quark densities. The findings are relevant for the understanding of the evolution of the early Universe and contemporary…

High Energy Physics - Lattice · Physics 2011-04-20 Gergely Endrodi

In this paper we study the confinement/deconfinement transition in lattice $SU(2)$ QCD at finite quark density and zero temperature. The simulations are performed on an $32^4$ lattice with rooted staggered fermions at a lattice spacing $a =…

High Energy Physics - Lattice · Physics 2018-04-17 V. G. Bornyakov , V. V. Braguta , E. -M. Ilgenfritz , A. Yu. Kotov , A. V. Molochkov , A. A. Nikolaev

We investigate the deconfining phase transition in QCD_4 and QED_4 at finite temperature using a perturbative deformation of topological quantum field theory (TQFT). A modified maximal abelian gauge (MAG) is utilized in the analysis. In…

High Energy Physics - Theory · Physics 2010-02-03 Kentaroh Yoshida

We summarize and extend evidence that the deconfinement phase transition in Yang-Mills theories can be viewed as change of effective non-perturbative degrees of freedom and of symmetries of their interactions. In short, the strings in four…

High Energy Physics - Phenomenology · Physics 2009-04-09 M. N. Chernodub , Atsushi Nakamura , V. I. Zakharov

We study the deconfining transition of SU(N) gauge theories in 2+1 dimensions for N ranging between N=2 and N=8. We confirm that the transition is second order for N<4 and first order for N>4. For the more delicate case of SU(4) all our…

High Energy Physics - Lattice · Physics 2008-03-17 Jack Liddle , Michael Teper

The phase diagram of the quark-gluon matter evolution is presented for the SU(3)-model with a new phase of heavy deconfined quarks which exists in a rather wide range of temperatures and densities. Fitting the chiral phase transition data…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. K. Kalashnikov

The deconfining transition in non-Abelian gauge theory is known to occur by a condensation of Wilson lines. By expanding around an appropriate Wilson line background, it is possible at large $N$ to analytically continue the confining phase…

High Energy Physics - Theory · Physics 2009-10-09 Joseph Polchinski

We demonstrate that weakly coupled, large N, d-dimensional SU(N) gauge theories on a class of compact spatial manifolds (including S^{d-1} \times time) undergo deconfinement phase transitions at temperatures proportional to the inverse…

High Energy Physics - Theory · Physics 2009-11-10 Ofer Aharony , Joseph Marsano , Shiraz Minwalla , Kyriakos Papadodimas , Mark Van Raamsdonk

A study of QCD at non-zero chemical potential, mu, and temperature, T, is performed using the lattice technique. The transition temperature (between the confined and deconfined phases) is determined as a function of mu and is found to be in…

High Energy Physics - Phenomenology · Physics 2017-08-23 C. R. Allton , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , Ch. Schmidt , L. Scorzato

Recent studies based on non-perturbative lattice Monte-Carlo solutions of Quantum Chromodynamics, the theory of strong interactions, demonstrated that at high temperature there is a phase change from confined hadronic matter to a deconfined…

Nuclear Theory · Physics 2018-10-24 A. Andronic , P. Braun-Munzinger , K. Redlich , J. Stachel

The deconfining transition in $SU(3)$ gauge theory, traditionally interpreted through the Gross-Witten-Wadia (GWW) model as a sharp third-order phase transition in the large-$N_c$ limit, appears as a smooth crossover in lattice QCD. This…

High Energy Physics - Lattice · Physics 2026-01-21 Airton Deppman

A class of large N SU(N) gauge theories on a compact manifold S^3 X R (with possible inclusion of adjoint matter) is known to show first order deconfinement transition at the deconfinement temperature. This includes the familiar example of…

High Energy Physics - Theory · Physics 2008-11-26 Pallab Basu , Anindya Mukherjee

The chromoelectric field generated by a static quark-antiquark pair, with its peculiar tube-like shape, can be nicely described, at zero temperature, within the dual superconductor scenario for the QCD confining vacuum. In this work we…

High Energy Physics - Lattice · Physics 2016-06-16 Paolo Cea , Leonardo Cosmai , Francesca Cuteri , Alessandro Papa

Based on the quasi-particle description of the QCD medium at finite temperature and density we formulate the phenomenological model for the equation of state that exhibits crossover or the first order deconfinement phase transition. The…

Nuclear Theory · Physics 2008-11-26 A. S. Khvorostukhin , V. V. Skokov , V. D. Toneev , K. Redlich

Heavy quark potentials are investigated at high temperatures. The temperature range covered by the analysis extends from $T$ values just below the deconfinement temperature up to about $4 T_c$ in the deconfined phase. We simulated the pure…

High Energy Physics - Lattice · Physics 2009-10-31 Olaf Kaczmarek , Frithjof Karsch , Edwin Laermann , Martin Lutgemeier

The deconfinement transition region between hadronic matter and quark-gluon plasma is studied for finite volumes. Assuming simple model equations of state and a first order phase transition, we find that fluctuations in finite volumes…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Spieles , H. Stoecker , C. Greiner