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Related papers: Exploring confinement in SU(N) gauge theories with…

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We consider scalegenesis, spontaneous scale symmetry breaking, by the scalar-bilinear condensation in $SU(N)$ scalar gauge theory. In an effective field theory approach to the scalar-bilinear condensation at finite temperature, we include…

High Energy Physics - Theory · Physics 2018-10-05 Jisuke Kubo , Masatoshi Yamada

We study the behavior of the order parameter, the phase diagram, and the thermodynamics of exotic phases of finite temperature gauge theory. Lattice simulations were performed in SU(3) and SU(4) with an adjoint Polyakov loop term added to…

High Energy Physics - Lattice · Physics 2008-11-26 Joyce C. Myers , Michael C. Ogilvie

I review the deconfining phase transition in an SU(N) gauge theory without quarks. After computing the interface tension between Z(N) degenerate vacua deep in the deconfined phase, I follow Giovannangeli and Korthals Altes, and suggest a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert D. Pisarski

Two phenomenological models describing an SU(N) gluon plasma are presented using the eigenvalues of the Polyakov loop as the order parameters of the deconfinement transition. Each model has a single free parameter and exhibits behavior…

High Energy Physics - Lattice · Physics 2007-05-23 Peter N. Meisinger , Travis R. Miller , Michael C. Ogilvie

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

Finite temperature SU(2) lattice gauge theory is investigated in a 3D cubic box with fixed boundary conditions provided by a discretized, static BPS monopole solution with varying core scale $\mu$. Using heating and cooling techniques we…

High Energy Physics - Lattice · Physics 2011-09-13 E. -M. Ilgenfritz , S. V. Molodtsov , M. Müller-Preussker , A. I. Veselov

Using finite temperature SU(3) lattice gauge theory in the fixed scale approach we analyze center properties of the local Polyakov loop L(x). We construct spatial clusters of points x where the phase of L(x) is near the same center element…

High Energy Physics - Lattice · Physics 2014-03-26 Gergely Endrodi , Christof Gattringer , Hans-Peter Schadler

Linear confinement with Casimir scaling of the string tension in confining gauge theories is a consequence of a certain property of the Polyakov loop related to random matrices. This mechanism does not depend on the details of the theories…

High Energy Physics - Theory · Physics 2024-06-21 Georg Bergner , Vaibhav Gautam , Masanori Hanada , Jack Holden

We present a study of the free energy of parameterized Polyakov loops P in SU(2) and SU(3) lattice gauge theory as a function of the parameters that characterize P. We explore temperatures below and above the deconfinement transition, and…

High Energy Physics - Lattice · Physics 2015-06-05 Dmitri Diakonov , Christof Gattringer , Hans-Peter Schadler

Properties of local Polyakov loops are studied in finite temperature lattice QCD and SU(3) lattice gauge theory. We evaluate local Polyakov loops, identify the closest center element for each loop and investigate cluster properties of these…

High Energy Physics - Lattice · Physics 2011-03-02 Julia Danzer , Christof Gattringer , Szabolcs Borsanyi , Zoltan Fodor

Recently lattice simulation in pure Yang-Mills theory exposes significant quadratic corrections for both the thermodynamic quantities and the renormalized Polyakov loop in the deconfined phase. These terms are previously found to appear…

High Energy Physics - Theory · Physics 2015-05-11 Fen Zuo , Yi-Hong Gao

The susceptibilities of the real and imaginary parts, as well as of the modulus of the Polyakov loop, are computed in SU(3) lattice gauge theory. We show that the ratios of these susceptibilities are excellent probes of the deconfinement…

High Energy Physics - Lattice · Physics 2013-07-24 Pok Man Lo , Bengt Friman , Olaf Kaczmarek , Krzysztof Redlich , Chihiro Sasaki

We calculate the deconfining temperature of SO(N) gauge theories in 2+1 dimensions, and determine the order of the phase transition as a function of N, for various values of N in the range [4,16]. We do so by extrapolating our lattice…

High Energy Physics - Lattice · Physics 2016-04-20 Richard Lau , Michael Teper

We investigate the structure of confining and deconfining phases in SU(2) lattice gauge theory via persistent homology, which gives us access to the topology of a hierarchy of combinatorial objects constructed from given data. Specifically,…

High Energy Physics - Lattice · Physics 2023-03-01 Daniel Spitz , Julian M. Urban , Jan M. Pawlowski

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

The dynamic relaxation process for the (2+1)--dimensional SU(2) lattice gauge theory at critical temperature is investigated with Monte Carlo methods. The critical initial increase of the Polyakov loop is observed. The dynamic exponents…

Soft Condensed Matter · Physics 2009-10-30 K. Okano , L. Schuelke , B. Zheng

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

The 4-d SU(2) lattice gauge theory is simulated in the minimal Coulomb gauge which aims to maximize the traces of all links in three directions. Fourth-direction links are interpreted as spins in a Heisenberg-like model with varying…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Grady

We study analytically the phase diagram of the pure $SU(N)$ lattice gauge theory at finite temperature, and we attempt to estimate the critical deconfinement temperature. We apply large $N$ techniques to the Wilson and to the Heat Kernel…

High Energy Physics - Lattice · Physics 2009-10-22 M. Billo' , M. Caselle , A. D'Adda , L. Magnea , S. Panzeri

Let B be the largest spacing between adjacent eigenvalues of the Polyakov loop. We propose to employ the distribution of B as an order parameter for the finite temperature phase transition in SU(N) lattice gauge theories. Using smeared…

High Energy Physics - Lattice · Physics 2009-11-10 F. Berruto , R. Narayanan , H. Neuberger