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The Polyakov world-line path integral describing the propagation of gluon field quanta is constructed by employing the background gauge fixing method and is subsequently applied to analytically compute the divergent terms of the one…

High Energy Physics - Theory · Physics 2009-11-07 S. D. Avramis , A. I. Karanikas , C. N. Ktorides

We use gauge/string duality to analytically evaluate the renormalized Polyakov loop in pure Yang-Mills theories. For SU(3), the result is in a quite good agreement with lattice simulations for a broad temperature range.

High Energy Physics - Phenomenology · Physics 2009-06-30 Oleg Andreev

We analyze Regge quantum gravity coupled to SU(2) gauge theory on $4^3\times 2$, $6^{3}\times 4$ and $8^{3}\times 4$ simplicial lattices. It turns out that the window of the well-defined phase of the gravity sector where geometrical…

High Energy Physics - Lattice · Physics 2011-09-09 B. A. Berg , W. Beirl , B. Krishnan , H. Markum , J. Riedler

We approach the non-perturbative regime in finite temperature QCD within a formulation in Polyakov gauge. The construction is based on a complete gauge fixing. Correlation functions are then computed from Wilsonian renormalisation group…

High Energy Physics - Phenomenology · Physics 2008-12-08 Florian Marhauser , Jan M. Pawlowski

We study the three dimensional fundamental-adjoint $SU(2)$ lattice gauge theory at non-zero temperatures by Monte Carlo simulations. On an $8^3 \times 2$ lattice, at $\beta_A = 1.1$, where $\beta_A$ is the adjoint coupling, we find no…

High Energy Physics - Lattice · Physics 2009-10-22 Manu Mathur , Rajiv V. Gavai

We explore vortex formation for Abelian projected SU(2) in the Polyakov gauge and compare the results with those calculated in the maximal Abelian gauge. In both gauges, a non-zero vacuum expectation value of a monopole field operator…

High Energy Physics - Lattice · Physics 2009-12-30 K. Bernstein , G. Di Cecio , R. W. Haymaker

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

Recent results applying resurgence theory to finite-temperature field theories yield a detailed analytic structure determined by topological excitations. We examine finite-temperature SU(N) lattice gauge theories in light of these results.…

High Energy Physics - Lattice · Physics 2014-11-20 Michael Ogilvie , Peter Meisinger

We construct an effective action for Polyakov loops using the eigenvalues of the Polyakov loops as the fundamental variables. We assume $% Z(N)$ symmetry in the confined phase, a finite difference in energy densities between the confined…

High Energy Physics - Phenomenology · Physics 2007-05-23 Peter N. Meisinger , Michael C. Ogilvie

We present a study of the effective string that describes the infrared dynamics of SU(2) Yang-Mills theory in three dimensions. By combining high-precision lattice simulation results for Polyakov-loop correlators at finite temperatures…

High Energy Physics - Theory · Physics 2022-03-24 Fabrizio Caristo , Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Antonio Smecca

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

Path Integral Monte Carlo simulations have been performed for U(1) lattice gauge theory in (2+1) dimensions on anisotropic lattices. We extractthe static quark potential, the string tension and the low-lying "glueball" spectrum.The…

High Energy Physics - Lattice · Physics 2009-11-07 Mushtaq Loan , Michael Brunner , Clare Sloggett , Chris Hamer

We simulate SU(2) gauge theory at temperatures ranging from slightly below $T_c$ to roughly $2T_c$ for two different values of the gauge coupling. Using a histogram method, we extract the effective potential for the Polyakov loop and for…

High Energy Physics - Lattice · Physics 2013-11-06 Dominik Smith , Adrian Dumitru , Robert Pisarski , Lorenz von Smekal

The phase diagram of SO(3) lattice gauge theory is investigated by Monte Carlo techniques on both symmetric and asymmetric lattices with a view (i) to understanding the relationship between the bulk transition and the deconfinement…

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

We discuss the two point functions for the real and imaginary parts of the Polyakov loop in a pure SU(3) gauge theory. The behavior of these correlation functions in the Polyakov Loop Model is markedly different from that in perturbation…

High Energy Physics - Lattice · Physics 2007-05-23 Adrian Dumitru , Robert D. Pisarski

We have applied a new gauge-invariant, noncompact, Monte Carlo method to simulate $U(1)$, $SU(2)$, and $SU(3)$ gauge theories on $8^4$ and $12^4$ lattices. The Creutz ratios of the Wilson loops agree with the exact results for $U(1)$ for…

High Energy Physics - Lattice · Physics 2007-05-23 Kevin Cahill , Gary Herling

An approach to studying lattice gauge models in the weak coupling region is proposed. Conceptually, it is based on the crucial role of the original Z(N) symmetry and the invariant gauge group measure. As an example, we calculate an…

High Energy Physics - Lattice · Physics 2007-05-23 O. A. Borisenko , V. K. Petrov , G. M. Zinovjev , J. Boháčik

There has been substantial progress in understanding confinement in a class of four-dimensional SU(N) gauge theories using semiclassical methods. These models have one or more compact directions, and much of the analysis is based on the…

High Energy Physics - Theory · Physics 2014-10-08 Michael C. Ogilvie

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

We consider the SO(3) lattice gauge theory at weak coupling, in the Villain action. We exhibit an analytic path in coupling space showing the equivalence of the SO(3) theory with SU(2) summed over all twist sectors. This clarifies the…

High Energy Physics - Lattice · Physics 2007-05-23 Ph. de Forcrand , O. Jahn
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