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A synthesis of Polyakov loop models of the deconfinement transition and quasiparticle models of gluon plasma thermodynamics leads to a class of models in which gluons move in a non-trivial Polyakov loop background. These models are…

High Energy Physics - Lattice · Physics 2009-11-10 Peter N. Meisinger , Travis R. Miller , Michael C. Ogilvie

We study a $U(1)\times U(1)$ system with short-range interactions and mutual $\theta=2\pi/3$ statistics in (2+1) dimensions. We are able to reformulate the model to eliminate the sign problem, and perform a Monte Carlo study. We find a…

Statistical Mechanics · Physics 2015-06-05 Scott D. Geraedts , Olexei I. Motrunich

We show that the effective potentials for the Polyakov loops in finite temperature SU$(N)$ gauge theories obey a certain scaling relation with respect to temperature in the large-$N$ limit. This scaling relation strongly constrains the…

High Energy Physics - Theory · Physics 2025-10-22 Takehiro Azuma , Takeshi Morita

Effective theories are helpful tools to gain an intuitive insight into phenomena governed by complex laws. In this work we show by means of Monte Carlo simulations that Z(2) spin models with only spin-spin interactions approximate rather…

High Energy Physics - Lattice · Physics 2009-10-31 S. Fortunato , F. Karsch , P. Petreczky , H. Satz

In this work, based on the Petrov-Diakonov representation of the Wilson loop average W in the SU(2) Yang-Mills theory, together with the Cho-Fadeev-Niemi decomposition, we present a natural framework to discuss possible ideas underlying…

High Energy Physics - Theory · Physics 2010-12-21 L. E. Oxman

We present spectral density reweighting techniques adapted to the analysis of a time series of data with a continuous range of allowed values. In a first application we analyze action and Polyakov line data from a Monte Carlo simulation on…

High Energy Physics - Lattice · Physics 2009-10-22 Nelsons A. Alves , Bernd Al. Berg , Sergiu Sanielevici

We apply the relative weights method (arXiv:1209.5697) to determine the effective Polyakov line action for SU(2) lattice gauge theory in the confined phase, at lattice coupling beta=2.2 and N_t=4 lattice spacings in the time direction. The…

High Energy Physics - Lattice · Physics 2014-03-25 J. Greensite , K. Langfeld

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 study the effective bosonic string that describes confining flux tubes in three-dimensional SU(N) Yang--Mills theories. Although the low-energy properties are universal and well described by the Nambu--Got\=o action, the subtle…

High Energy Physics - Lattice · Physics 2024-12-20 Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Dario Panfalone , Lorenzo Verzichelli

We apply the path optimization method to a QCD effective model with the Polyakov loop at finite density to circumvent the model sign problem. The Polyakov-loop extended Nambu--Jona-Lasinio model is employed as the typical QCD effective…

High Energy Physics - Phenomenology · Physics 2019-01-30 Kouji Kashiwa , Yuto Mori , Akira Ohnishi

In this series of three papers, we generalize the derivation of dual photons and monopoles by Polyakov, and Banks, Myerson and Kogut, to obtain approximative models of SU(2) lattice gauge theory. Our approach is based on stationary phase…

High Energy Physics - Theory · Physics 2007-06-13 Florian Conrady

We derive effective actions for SU(2) Polyakov loops using inverse Monte Carlo techniques. In a first approach, we determine the effective couplings by requiring that the effective ensemble reproduces the single-site distribution of the…

High Energy Physics - Lattice · Physics 2009-11-10 Leander Dittmann , Thomas Heinzl , Andreas Wipf

We study a lattice model of interacting loops in three dimensions with a $1/r^2$ interaction. Using Monte Carlo, we find that the phase diagram contains a line of second-order phase transitions between a phase where the loops are gapped and…

Statistical Mechanics · Physics 2015-06-04 Scott D. Geraedts , Olexei I. Motrunich

We study several antiferromagnetic formulations of the O(3) spin model in three dimensions by means of Monte Carlo simulations. We discuss about the vacua properties and analyze the phase transitions. Using Finite Size Scaling analysis we…

High Energy Physics - Lattice · Physics 2019-08-17 J. L. Alonso , A. Tarancón , H. G. Ballesteros , L. A. Fernández , V. Martín-Mayor , A. Muñoz~Sudupe

We study the high temperature transition in pure $SU(3)$ gauge theory and in full QCD with 3D-convolutional neural networks trained as parts of either unsupervised or semi-supervised learning problems. Pure gauge configurations are obtained…

High Energy Physics - Lattice · Physics 2022-04-08 Andrea Palermo , Lucio Anderlini , Maria Paola Lombardo , Andrey Kotov , Anton Trunin

We study the phase diagram of strongly interacting matter in the framework of a non-local SU(2) chiral quark model which includes wave function renormalization and coupling to the Polyakov loop. Both non-local interactions based on the…

High Energy Physics - Phenomenology · Physics 2014-11-21 G. A. Contrera , M. Orsaria , N. N. Scoccola

We present results for the renormalized Polyakov loop in the three lowest irreducible representations of SU(2) gauge theory at finite temperature. We will discuss their scaling behavior near $T_c$ and test Casimir scaling in the deconfined…

High Energy Physics - Lattice · Physics 2010-01-21 Kay Huebner , Claudio Pica

In this series of three papers, we generalize the derivation of dual photons and monopoles by Polyakov, and Banks, Myerson and Kogut, to obtain approximative models of SU(2) lattice gauge theory. Our approach is based on stationary phase…

High Energy Physics - Theory · Physics 2007-06-13 Florian Conrady

We present a method for simulating relativistic and nonrelativistic scalar field theories at finite density, with matter transforming in the fundamental representation of the global symmetry group O(N). The method avoids the problem of…

High Energy Physics - Lattice · Physics 2008-11-26 Michael G. Endres

We compute the effective action in terms of the Polyakov loop for the 3-dimensional pure fundamental-adjoint SU(2) lattice gauge theory at non-zero temperatures using the strong coupling expansion. In the extended coupling plane we show the…

High Energy Physics - Lattice · Physics 2009-09-25 Manu Mathur
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