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We study Casimir scaling and renormalization properties of Polyakov loops in different irreducible representations in SU(N) gauge theories; in particular, we investigate the approach to the large-N limit, by performing lattice simulations…

High Energy Physics - Lattice · Physics 2012-05-17 Anne Mykkanen , Marco Panero , Kari Rummukainen

The Polyakov loop has been used repeatedly as an order parameter in the deconfinement phase transition in QCD. We argue that, in the confined phase, its expectation value can be represented in terms of hadronic states, similarly to the…

High Energy Physics - Phenomenology · Physics 2012-10-11 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We compute the one-loop effective potential for the Polyakov loop on $S^3 times S^1$ for an asymptotically free gauge theory of arbitrary group $G$ and a generic matter content. We apply this result to study the phase structures of $G_2$,…

High Energy Physics - Theory · Physics 2008-11-26 Carlos Hoyos , Biagio Lucini , Asad Naqvi

In order to come closer to a realistic model of high-energy collisions, we simulate SU(2) lattice gauge theory under fluctuating temperature. The fluctuations are Euler-Gamma distributed, leading to a canonical state maximizing the Renyi…

High Energy Physics - Lattice · Physics 2011-05-11 Tamas S. Biro , Z. Schram

We study the three dimensional fundamental-adjoint $SU(2)$ lattice gauge theory at finite temperature by Monte Carlo simulations. We find that the finite temperature deconfinement phase transition line joins the first order bulk phase…

High Energy Physics - Lattice · Physics 2009-10-22 Rajiv V. Gavai , Michael Grady , Manu Mathur

We analyze the phase structure of $SU(\infty)$ gauge theory at finite temperature using matrix models. Our basic assumption is that the effective potential is dominated by double-trace terms for the Polyakov loops. As a function of the…

High Energy Physics - Theory · Physics 2017-12-25 Hiromichi Nishimura , Robert D. Pisarski , Vladimir V. Skokov

We study the compatibility of effective mean-field models of the Polyakov loop for the deconfined phase of SU(N) pure gauge theories with lattice data obtained for the case of SU(2), in the temperature range T_c - 4.8 T_c.

High Energy Physics - Lattice · Physics 2009-11-10 Roberto Fiore , Pietro Giudice , Alessandro Papa

We study order parameters for the confinement-deconfinement phase transition related to the Polyakov-loop variable. The functional renormalisation group is used to compute these order parameters in a unified, non-perturbative continuum…

High Energy Physics - Phenomenology · Physics 2015-10-14 Tina K. Herbst , Jan Luecker , Jan M. Pawlowski

Matrix models for the deconfining phase transition in $SU(N)$ gauge theories have been developed in recent years. With a few parameters, these models are able to reproduce the lattice results of the thermodynamic quantities in the…

High Energy Physics - Phenomenology · Physics 2014-12-01 Yun Guo

In a 2+1-dimensional pure LGT at finite temperature the critical coupling for the deconfinement transition scales as $\beta_c(n_t) = J_c n_t + a_1$, where $n_t$ is the number of links in the ``time-like'' direction of the symmetric lattice.…

High Energy Physics - Theory · Physics 2009-10-30 M. Billo' , M. Caselle , A. D'Adda

We use an effective matrix model to study deconfinement in a pure SU(Nc) gauge theory, without quarks, in d=2+1 dimensions. Expanding about a constant background A0 field we construct an effective potential for the eigenvalues of the…

High Energy Physics - Phenomenology · Physics 2014-04-23 Pedro Bicudo , Robert D. Pisarski , Elina Seel

We describe the SU(3) deconfinement transition using Landau-Ginsberg theory. Drawing on perturbation theory and symmetry principles, we construct the free energy as a function of temperature and the Polyakov loop. Once the two adjustable…

High Energy Physics - Lattice · Physics 2015-06-25 Michael C. Ogilvie , Peter N. Meisinger

We study the three dimensional fundamental-adjoint $SU(2)$ lattice gauge theory at non-zero temperatures by Monte Carlo simulations. On an $8^3 \times 2$ lattice, at $\beta_A = 1.1$, where $\beta_A$ is the adjoint coupling, we find no…

High Energy Physics - Lattice · Physics 2009-10-22 Manu Mathur , Rajiv V. Gavai

The deconfinement transition in SU(4) lattice gauge theory is investigated on N_s^3 X N_t lattices for N_s = 8-16 and N_t = 4-8 using a modified Wilson action which is expected to be free of any bulk transitions. The susceptibility…

High Energy Physics - Lattice · Physics 2009-11-07 Rajiv V. Gavai

We study the influence of relativistic rotation on the confinement/deconfinement phase transition in gluodynamics by means of lattice simulations. The simulation is performed in the reference frame which rotates with the system under…

High Energy Physics - Lattice · Physics 2023-10-31 V. V. Braguta , A. Yu. Kotov , D. D. Kuznedelev , A. A. Roenko

I review the deconfining phase transition in an SU(N) gauge theory without quarks. After computing the interface tension between Z(N) degenerate vacua deep in the deconfined phase, I follow Giovannangeli and Korthals Altes, and suggest a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert D. Pisarski

We investigate chiral and deconfinement transitions in the framework of the strong coupling lattice QCD for color SU(3) with one species of unrooted staggered fermion at finite temperature and quark chemical potential. We take account of…

High Energy Physics - Lattice · Physics 2011-02-28 Takashi Z. Nakano , Kohtaroh Miura , Akira Ohnishi

We study the confinement-deconfinement transition in $SU(2)$ gauge theory in the presence of massless bosons using lattice Monte Carlo simulations. The nature of this transition depends on the temporal extent ($N_\tau$) of the Euclidean…

High Energy Physics - Lattice · Physics 2017-07-19 Minati Biswal , Mridupawan Deka , Sanatan Digal , P. S. Saumia

Finite temperature SU(2) lattice gauge theory is investigated in a 3D cubic box with fixed boundary conditions provided by a discretized, static BPS monopole solution with varying core scale $\mu$. Using heating and cooling techniques we…

High Energy Physics - Lattice · Physics 2011-09-13 E. -M. Ilgenfritz , S. V. Molodtsov , M. Müller-Preussker , A. I. Veselov

The deconfinement transition in SU(4) lattice gauge theory is studied on N_s^3 X N_t lattices with N_s = 8-16 and N_t = 4-8 using a modified Wilson action which is expected to have no bulk transitions. The peak of susceptibility \chi_{|L|}…

High Energy Physics - Lattice · Physics 2007-05-23 Rajiv V. Gavai