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We apply the relative weights method to extract an effective Polyakov line action, at finite chemical potential, from an underlying $SU(3)$ lattice gauge theory with dynamical fermions. The center-symmetry breaking terms in the effective…

High Energy Physics - Lattice · Physics 2015-10-14 Roman Höllwieser , Jeff Greensite

We present results from magnetic monopoles in $SU(2)$ lattice gauge theory at finite temperature. The lattices are $16^{3}\times N_{t}$, for $N_{t}=4,6,8,12$, at $\beta=2.5115$. Quantities discussed are: the spacial string tension, Polyakov…

High Energy Physics - Lattice · Physics 2009-10-28 John D. Stack

This is a review of strong coupling approaches to grasp the nature of the phase transition in finite temperature and density QCD. We commence with classics of the center symmetry and the Polyakov loop in pure gauge theories. The effective…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kenji Fukushima

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 calculate the high-temperature series of the magnetic susceptibility and the second and fourth moments of the correlation function for the XY model on the square lattice to order $\beta^{33}$ by applying the improved algorithm of the…

Statistical Mechanics · Physics 2009-11-13 H. Arisue

We discuss the behavior of two point functions for Polyakov loops in a SU(3) gauge theory about the critical temperature, T_c. From a Z(3) model, in mean field theory we obtain a prediction for the ratio of masses at T_c, extracted from…

High Energy Physics - Phenomenology · Physics 2009-11-07 Adrian Dumitru , Robert D. Pisarski

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 exactly rewrite the Z(2) lattice gauge theory with standard plaquette action as a random surface model equivalent to the untruncated set of its strong coupling graphs. By extending the worm approach applied to spin models we simulate…

High Energy Physics - Lattice · Physics 2015-06-12 Tomasz Korzec , Ulli Wolff

Lattice measurements provide adequate information to fix the parameters of long distance effective field theories in Euclidean time. Using such a theory, we examine the analytic continuation of long distance correlation functions of…

High Energy Physics - Phenomenology · Physics 2020-12-30 Sourendu Gupta , Rishi Sharma

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

In order to characterize the higher order moments of the particle multiplicity, we implement the linear-sigma model with Polyakov-loop correction. We first studied the critical phenomena and estimated some thermodynamic quantities. Then, we…

High Energy Physics - Phenomenology · Physics 2015-06-19 A. Tawfik , N. Magdy , A. Diab

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

In non-abelian gauge theories without matter fields, expectation values of large Wilson loops and loop correlation functions are difficult to compute through numerical simulation, because the signal-to-noise ratio is very rapidly decaying…

High Energy Physics - Lattice · Physics 2010-02-03 Martin Lüscher , Peter Weisz

We calculate the critical amplitudes of the Polyakov loop and its susceptibility at the deconfinement transition of SU(2) gauge theory. To this end we carefully study the corrections to the scaling functions of the observables coming from…

High Energy Physics - Lattice · Physics 2009-10-31 J. Engels , T. Scheideler

Computations of screening masses in finite-temperature QCD at finite density are plagued by the sign problem and have been performed so far with an imaginary chemical potential. Here, we use a dual formulation of a Polyakov-loop model which…

High Energy Physics - Lattice · Physics 2023-09-13 O. Borisenko , V. Chelnokov , E. Mendicelli , A. Papa

We derive an analytic expression for point-to-point correlation functions of the Polyakov loop based on the transfer matrix formalism. For the $2d$ Ising model we show that the results deduced from point-point spin correlators are…

High Energy Physics - Lattice · Physics 2009-10-28 J. ~Engels , V. K. ~Mitrjushkin , T. ~Neuhaus

We present the complete next-to-next-to-leading-order calculation of the correlation function of two Polyakov loops for temperatures smaller than the inverse distance between the loops and larger than the Coulomb potential. We discuss the…

High Energy Physics - Phenomenology · Physics 2011-06-15 Jacopo Ghiglieri

We report on the first steps of an ongoing project to add gauge observables and gauge corrections to the well-studied strong coupling limit of staggered lattice QCD, which has been shown earlier to be amenable to numerical simulations by…

High Energy Physics - Lattice · Physics 2015-03-19 Philippe de Forcrand , Michael Fromm , Jens Langelage , Kotaroh Miura , Owe Philipsen , Wolfgang Unger

We study the correlators of Polyakov loops, and the corresponding gauge invariant free energy of a static quark-antiquark pair in 2+1 flavor QCD at finite temperature. Our simulations were carried out on $N_t$ = 6, 8, 10, 12, 16 lattices…

High Energy Physics - Lattice · Physics 2015-05-20 Szabolcs Borsányi , Zoltán Fodor , Sándor D. Katz , Attila Pásztor , Kálmán K. Szabó , Csaba Török

Lattice measurements provide adequate information to fix the parameters of long distance effective field theories in Euclidean time. Using such a theory, we examine the analytic continuation of long distance correlation functions of…

High Energy Physics - Phenomenology · Physics 2019-04-26 Sourendu Gupta , Rishi Sharma