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We study a $U(1)\times U(1)$ system in (2+1)-dimensions with long-range interactions and mutual statistics. The model has the same form after the application of operations from the modular group, a property which we call modular invariance.…

Statistical Mechanics · Physics 2013-05-30 Scott D. Geraedts , Olexei I. Motrunich

We study the Polyakov loop dynamics originating from finite-temperature Yang-Mills theory. The effective actions contain center-symmetric terms involving powers of the Polyakov loop, each with its own coupling. For a subclass with two…

High Energy Physics - Lattice · Physics 2008-12-19 Andreas Wipf , Thomas Heinzl , Tobias Kaestner , Christian Wozar

The phase diagram of SO(3) lattice gauge theory at finite temperature is investigated by Monte Carlo techniques with a view i) to understand the relationship between the deconfinement phase transitions in the SU(2) and SO(3) lattice gauge…

High Energy Physics - Lattice · Physics 2009-10-30 Saumen Datta , Rajiv V. Gavai

We analyze the role played by the Polyakov loop in the description of the chiral phase transition within the framework of nonlocal SU(3) chiral models with flavor mixing. We show that its presence provides a substantial enhancement of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gustavo A. Contrera , Daniel Gomez Dumm , Norberto N. Scoccola

Deconfinement and screening of higher-representation sources in finite-temperature $SU(2)$ lattice gauge theory is investigated by both analytical and numerical means. The effective Polyakov-line action at strong coupling is simulated by an…

High Energy Physics - Lattice · Physics 2009-10-22 P. H. Damgaard , M. Hasenbusch

The phase structure of the Polyakov loop-extended chiral quark-meson model is explored in a nonperturbative approach, beyond a mean-field approximation, in the presence of a magnetic field. We show that by including meson fluctuations one…

High Energy Physics - Phenomenology · Physics 2013-05-30 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

Using the example of the SU(2) gauge theory in 3+1 dimensions we consider the construction of a 3-dimensional effective model in terms of Polyakov loops. We demonstrate the application of an equilibrium self-consistency condition to the…

High Energy Physics - Lattice · Physics 2008-11-26 Alexander Velytsky

Motivated by the sign problem, we calculate the effective Polyakov line action corresponding to certain SU(3) lattice gauge theories on a ${16^3 \times 6}$ lattice via the "relative weights" method introduced in our previous articles. The…

High Energy Physics - Lattice · Physics 2014-07-30 Jeff Greensite , Kurt Langfeld

We investigate the Polyakov loop in different representations of SU(3) in pure gauge at finite $T$. We discuss Casimir scaling for the Polyakov loop in the deconfined phase and test and generalize the renormalization procedure for the…

High Energy Physics - Lattice · Physics 2008-11-26 S. Gupta , K. Huebner , O. Kaczmarek

Quantum Chromodynamics exhibits a hadronic confined phase at low to moderate temperatures and, at a critical temperature $T_C$, undergoes a transition to a deconfined phase known as the quark-gluon plasma. The nature of this deconfinement…

High Energy Physics - Lattice · Physics 2014-06-13 Finn M. Stokes , Waseem Kamleh , Derek B. Leinweber

We extend the density-of-states approach to gauge systems (LLR method) to QCD at finite temperature and density with heavy quarks. The approach features an exponential error suppression and yields the Polyakov loop probability distribution…

High Energy Physics - Lattice · Physics 2013-11-18 Kurt Langfeld , Jan M. Pawlowski

The Density of States Functional Fit Approach (DoS FFA) is a recently proposed modern density of states technique suitable for calculations in lattice field theories with a complex action problem. In this article we present an exploratory…

High Energy Physics - Lattice · Physics 2016-12-21 Mario Giuliani , Christof Gattringer , Pascal Törek

We study genuine finite density effects in QCD-like theories with three-dimensional Polyakov-loop effective theories for heavy quarks. These are derived from the full QCD-like theories by combined strong-coupling and hopping expansions. In…

High Energy Physics - Lattice · Physics 2016-02-16 Philipp Scior , Lorenz von Smekal

We apply the relative weights method to SU(3) gauge theory with staggered fermions of mass 695 MeV at a set of temperatures in the range $151 \le T \le 267$ MeV, to obtain an effective Polyakov line action at each temperature. We then apply…

High Energy Physics - Lattice · Physics 2018-06-13 Jeff Greensite , Roman Höllwieser

We study the confinement-deconfinement phase transition of pure Yang-Mills theories at finite temperature using a simple massive extension of standard background field methods. We generalize our recent next-to-leading-order perturbative…

High Energy Physics - Theory · Physics 2016-05-11 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

Starting from Wilson's action, we calculate strong coupling series for the Polyakov loop susceptibility in lattice gauge theories for various small N_\tau in the thermodynamic limit. Analysing the series with Pad\'e approximants, we…

High Energy Physics - Lattice · Physics 2015-05-14 Jens Langelage , Owe Philipsen

The Polyakov loop and the chiral condensate are used as order parameters to explore analytically the possible phase structure of finite temperature QCD. Nambu-Jona-Lasinio models in a background temporal gauge field are combined with a…

High Energy Physics - Lattice · Physics 2009-10-28 Peter N. Meisinger , Michael C. Ogilvie

We compute the effective action of the Polyakov loop in SU(2) and SU(3) Yang-Mills theory using a previously developed covariant variational approach. The formalism is extended to background gauge and it is shown how to relate the low order…

High Energy Physics - Theory · Physics 2016-09-21 Markus Quandt , Hugo Reinhardt

We calculate analytically a class of three-loop vacuum diagrams with two different mass values, one of which is one-third as large as the other, using the method of Chetyrkin, Misiak, and M\"{u}nz in the dimensional regularization scheme.…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. -M. Chung , B. K. Chung