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We investigated the finite temperature (T) phase transition for SU(Nc) gauge theory with Nc=4, 6, 8 and 10 at lattice spacing, a, of 1/(6T) or less. We found that these theories have first order transitions at such small a. In many cases we…

High Energy Physics - Lattice · Physics 2010-12-24 Saumen Datta , Sourendu Gupta

We investigate the deconfinement transition in SU(Nc) gauge theories, and properties of the deconfined phase. A detailed lattice study of SU(4) and SU(6) gauge theories are conducted, and finite volume and cutoff effects on thermodynamic…

High Energy Physics - Lattice · Physics 2010-11-05 Saumen Datta , Sourendu Gupta

We study the thermodynamics of SU(N_c) pure gauge theories for N_c=3, 4 and 6. The continuum and thermodynamic limits of bulk quantities such as the pressure, energy density and the entropy density are taken by using several different…

High Energy Physics - Lattice · Physics 2010-12-24 Saumen Datta , Sourendu Gupta

We revise the $SU(N_c)$, $N_c=3,4,6$, lattice data on pure gauge theories at finite temperature by means of a quasi-particle approach. In particular we focus on the relation between the quasi-particle effective mass and the order of the…

High Energy Physics - Phenomenology · Physics 2015-05-28 P. Castorina , V. Greco , D. Jaccarino , D. Zappalà

We review recent progress in the study of the large $N_c$ limit of gauge theories from lattice simulations. The focus is not only the planar limit but also the size of ${\mathcal O}(N_c^{-1})$ corrections for values of $N_c\gtrsim 3$. Some…

High Energy Physics - Lattice · Physics 2021-02-10 Pilar Hernández , Fernando Romero-López

We review the various methods which have been employed recently to describe the thermodynamics of the high temperature quark-gluon plasma using weak coupling techniques, and we compare their results with those of most recent lattice gauge…

High Energy Physics - Phenomenology · Physics 2016-11-23 J. -P. Blaizot , E. Iancu , A. Rebhan

Being interested in how a strongly coupled system approaches asymptotic freedom, we re-examine existing precision lattice QCD results for thermodynamic properties of the gluon plasma in a large temperature range. We discuss and thoroughly…

High Energy Physics - Phenomenology · Physics 2017-04-05 G. Jackson , A. Peshier

We present the equation of state (pressure, trace anomaly, energy density and entropy density) of the SU(3) gauge theory from lattice field theory in an unprecedented precision and temperature range. We control both finite size and cut-off…

High Energy Physics - Phenomenology · Physics 2011-04-04 Sz. Borsanyi , G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

We present a lattice simulation study of large $N_c$ regularities of meson and baryon spectroscopy in $SU(N_c)$ gauge theory with two flavors of dynamical fundamental representation fermions. Systems investigated include $N_c=2$, 3, 4, and…

High Energy Physics - Lattice · Physics 2017-01-04 Thomas DeGrand , Yuzhi Liu

We report on our recent study of equilibrium thermodynamic observables in SU(N) gauge theories with N=3, 4, 5, 6 and 8 colors at temperatures T in the range from 0.8 T_c to 3.4 T_c (where T_c denotes the critical deconfinement temperature).…

High Energy Physics - Lattice · Physics 2010-11-05 Marco Panero

Gauge/string duality is a potentially important framework for addressing the properties of the strongly coupled quark gluon plasma produced at RHIC. However, constructing an actual string theory dual to QCD has so far proven elusive. In…

High Energy Physics - Theory · Physics 2008-11-26 Alex Buchel , Stan Deakin , Patrick Kerner , James T. Liu

We consider two-dimensional lattice SU($N_c$) gauge theories with $N_f$ real scalar fields transforming in the adjoint representation of the gauge group and with a global O($N_f$) invariance. Focusing on systems with $N_f\ge 3$, we study…

High Energy Physics - Lattice · Physics 2021-05-19 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

I discuss lattice QCD calculations of the properties of strongly interacting matter at finite temperature, including the determination of the transition temperature Tc, equation of state, different static screening lengths and quarkonium…

High Energy Physics - Lattice · Physics 2008-11-26 Peter Petreczky

The lattice data for the energy density of $SU(2)$ gauge theory are calculated with \nop~derivatives of the coupling constants. These derivatives are obtained from two sources : i) a parametrization of the \nop~beta function in accord with…

High Energy Physics - Lattice · Physics 2009-10-22 J. Engels , F. Karsch , K. Redlich

We propose a quasiparticle approach allowing to compute the equation of state of a generic gauge theory with gauge group SU($N_c$) and quarks in an arbitrary representation. Our formalism relies on the thermal quasiparticle masses (quarks…

High Energy Physics - Phenomenology · Physics 2011-01-03 F Buisseret , G Lacroix

In two dimensions, $U(N_c)$ gauge theories exhibit a non-trivial topological structure, while $SU(N_c)$ theories are topologically trivial. Hence, for $G = U(N_c)$ the phase space is divided into topological sectors, characterized by a…

High Energy Physics - Lattice · Physics 2024-11-19 Stephan Durr , Philip Rouenhoff

We discuss a recent approach for overcoming the poor convergence of the perturbative expansion for the thermodynamic potential of QCD. This approach is based on self-consistent approximations which allow for a gauge-invariant and manifestly…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. -P. Blaizot , E. Iancu , A. Rebhan

We study Yang-Mills lattice theories with $Sp(N_c)$ gauge group, with $N_c=2N$, for $N=1,\,\cdots,\,4$. We show that if we divide the renormalised couplings appearing in the Wilson flow by the quadratic Casimir $C_2(F)$ of the $Sp(N_c)$…

High Energy Physics - Lattice · Physics 2022-11-30 Ed Bennett , Deog Ki Hong , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

We review recent lattice results for the large $N$ limit of SU(N) gauge theories. In particular, we focus on glueball masses, topology and its relation to chiral symmetry breaking (relevant for phenomenology), on the tension of strings…

High Energy Physics - Lattice · Physics 2017-08-23 B. Lucini , M. Teper , U. Wenger

We study a pure gluon plasma in the context of quasiparticle models, where the plasma is considered as an ideal gas of massive bosons. In order to reproduce SU(3) gauge field lattice data within such a framework, we review briefly the…

High Energy Physics - Phenomenology · Physics 2010-05-12 Fabian Brau , Fabien Buisseret
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