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Related papers: Effective potential for SU(2) Polyakov loops and W…

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The effective action of the SU(N) Polyakov loop model in the strong coupling region and in the static limit for the quark determinant can be mapped onto the Ising model in any dimensions, with the Ising variables attached on the links of…

High Energy Physics - Lattice · Physics 2023-09-20 B. Allés , O. Borisenko , A. Papa , S. Voloshyn

A three-dimensional effective theory of Polyakov loops has recently been derived from Wilson's Yang-Mills lattice action by means of a strong coupling expansion. It is valid in the confined phase up to the deconfinement phase transition,…

High Energy Physics - Lattice · Physics 2015-06-18 Georg Bergner , Jens Langelage , Owe Philipsen

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 present investigations of the potential between static charges from a simulation of quantum gravity coupled to an SU(2) gauge field on $6^{3}\times 4$ and $8^{3}\times 4$ simplicial lattices. In the well-defined phase of the gravity…

High Energy Physics - Lattice · Physics 2009-10-28 W. Beirl , B. A. Berg , B. Krishnan , H. Markum , J. Riedler

We compare different Polyakov loop actions yielding effective descriptions of finite-temperature SU(2) Yang-Mills theory on the lattice. The actions are motivated by a simultaneous strong-coupling and character expansion obeying center…

High Energy Physics - Lattice · Physics 2009-11-11 Thomas Heinzl , Tobias Kaestner , Andreas Wipf

In theories with spontaneous symmetry breaking, the loop expansion of the effective potential is awkward. In such theories, the exact effective potential $V(\phi_c,T)$ is real and convex (as a function of the classical field $\phi_c$), but…

High Energy Physics - Phenomenology · Physics 2009-10-22 Kevin Cahill

The thermodynamics of pure glue theories can be described in terms of an effective action for the Polyakov loop. This effective action is of the Landau-Ginzburg type and its variables are the angles parametrizing the loop. In this paper we…

High Energy Physics - Phenomenology · Physics 2014-01-10 Adrian Dumitru , Yun Guo , Chris P. Korthals Altes

In any Abelian gauge theory with an action periodic in the link variables one can perform a duality transformation not only in the partition function, but also in correlation functions including Polyakov loops. The calculation of…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Zach , Manfried Faber , Peter Skala

We show a general formula of the one loop effective potential of the 5D SU(N) gauge theory compactified on an orbifold, $S^1/Z_2$. The formula shows the case when there are fundamental, (anti-)symmetric tensor and adjoint representational…

High Energy Physics - Phenomenology · Physics 2014-11-17 Naoyuki Haba , Toshifumi Yamashita

I propose a method, based on a set of Langevin equations, for bringing classical gauge theories to thermal equilibrium while respecting the set of Gauss' constraints exactly. The algorithm is described in detail for the SU(2) gauge theory…

High Energy Physics - Lattice · Physics 2015-06-25 A. Krasnitz

We propose a non-perturbative and gauge invariant derivation of the static potential between a heavy-quark ($Q$) and an anti-quark ($\bar{Q}$) at finite temperature. This proper potential is defined through the spectral function (SPF) of…

High Energy Physics - Lattice · Physics 2010-11-05 A. Rothkopf , T. Hatsuda , S. Sasaki

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 present a Monte Carlo simulation of an effective theory for local Polyakov loops at finite temperature and density. The sign problem is overcome by mapping the partition sum to a flux representation. We determine the phase diagram of the…

High Energy Physics - Lattice · Physics 2012-11-30 Ydalia Delgado , Christof Gattringer

Effective action of an SU(2) gauge model with a vortex in 4-dimensional space time is calculated in the 1-loop approximation. The minimum of the effective potential is found.

High Energy Physics - Theory · Physics 2007-05-23 V. Ch. Zhukovsky

We examine SU(2) gauge theory in 3+1 dimensions at finite temperature in the vicinity of critical point. For various lattice sizes in time direction ($N_\tau=1,2,4,8$) we extract high precision values of the inverse critical coupling and…

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

We test the eigenstate thermalization hypothesis (ETH) for 2+1 dimensional SU(2) lattice gauge theory. By considering the theory on a chain of plaquettes and truncating basis states for link variables at $j=1/2$, we can map it onto a…

High Energy Physics - Lattice · Physics 2023-08-22 Xiaojun Yao

We consider the $SU(2)$ gauge theory with $N_f=2$ flavors of Dirac fundamental fermions. We study the high-temperature behavior of the spectra of mesons, discretizing the theory on anisotropic lattices, and measuring the two-point…

High Energy Physics - Lattice · Physics 2017-04-26 Jong-Wan Lee , Biagio Lucini , Maurizio Piai

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

Including the Haar measure we show that the effective potential of the regularized SU(2) Yang-Mills theory has a minimum at vanishing Wilson-line $W=0$ for strong coupling, whereas it develops two degenerate minima close to $W=\pm 1$ for…

High Energy Physics - Phenomenology · Physics 2016-09-01 K. Sailer , A. Schäfer , W. Greiner

Based on the strong coupling expansion we obtain effective 3-dimensional models for the Polyakov loop in finite-temperature G_2 gluodynamics. The Svetitsky-Jaffe conjecture relates the resulting continuous spin models with G_2 gluodynamics…

High Energy Physics - Lattice · Physics 2015-03-13 Bjoern H. Wellegehausen , Andreas Wipf , Christian Wozar