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In the heavy, static quark mass regime of QCD, the Polyakov loop is well known to be an order parameter of the deconfinement phase transition; however, the sensitivity of the Polyakov loop to the deconfinement of light, dynamical quarks is…

High Energy Physics - Lattice · Physics 2021-10-28 David Anthony Clarke , Olaf Kaczmarek , Anirban Lahiri , Mugdha Sarkar

We explore a novel approach to compute the force between a static quark and a static antiquark with lattice gauge theory directly. The approach is based on expectation values of Wilson loops or Polyakov loops with chromoelectric field…

High Energy Physics - Lattice · Physics 2022-04-06 Nora Brambilla , Viljami Leino , Owe Philipsen , Christian Reisinger , Antonio Vairo , Marc Wagner

We analyze the phase structure of $SU(\infty)$ gauge theory at finite temperature using matrix models. Our basic assumption is that the effective potential is dominated by double-trace terms for the Polyakov loops. As a function of the…

High Energy Physics - Theory · Physics 2017-12-25 Hiromichi Nishimura , Robert D. Pisarski , Vladimir V. Skokov

We use a numerical method to obtain the weak coupling perturbative coefficients of local operators with lattice regularization. Such a method allows us to extend the perturbative expansions obtained so far by analytical Feynman diagrams…

High Energy Physics - Theory · Physics 2011-08-17 F. Di Renzo , G. Marchesini , E. Onofri

We present a renormalizability proof for spontaneously broken SU(2) gauge theory based on Flow Equations. It is a conceptually and technically simplified version of the earlier paper [KM] including some extensions. The proof of [KM] also…

Mathematical Physics · Physics 2015-05-13 Christoph Kopper , Volkhard F. Müller

We consider the expectation value of a Polyakov loop in 3d SU(2) lattice Yang--Mills theory and transform it to the dual representation in terms of sums over spins. The spin dependence of the amplitudes is computed explicitly by a graphical…

High Energy Physics - Lattice · Physics 2007-10-15 Florian Conrady

We describe how the coupling of the gluonic Polyakov loop to quarks solves different inconsistencies in the standard treatment of chiral quark models at finite temperature at the one quark loop level. Large gauge invariance is incorporated…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Megias , E. Ruiz Arriola , L. L. Salcedo

Models of Dynamical Electroweak Symmetry Breaking are expected to display a quasi-conformal scaling behaviour in order to accommodate experimental constraints. The scaling properties of a theory can be studied using finite volume…

High Energy Physics - Lattice · Physics 2012-11-05 Stefan Sint , Pol Vilaseca

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 study the nature of the confinement phase transition in d=3+1 dimensions in various non-abelian gauge theories with the approach put forward in [1]. We compute an order-parameter potential associated with the Polyakov loop from the…

High Energy Physics - Phenomenology · Physics 2010-12-15 Jens Braun , Astrid Eichhorn , Holger Gies , Jan M. Pawlowski

We give an introduction to renormalisation, focusing first on a pedagogical description of fundamental concepts of the procedure and its features, then we introduce the renormalisation group and its equations. We discuss then the case of…

High Energy Physics - Phenomenology · Physics 2026-05-21 Leonardo Di Giustino

We analyze the renormalizability properties of pure gauge noncommutative SU(N) theory in the $\theta$-expanded approach. We find that the theory is one-loop renormalizable to first order in $\theta$.

High Energy Physics - Theory · Physics 2009-11-11 Maja Buric , Dusko Latas , Voja Radovanovic

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 propose a new renormalization scheme of the running coupling constant in general gauge theories using the Wilson loops. The renormalized coupling constant is obtained from the Creutz ratio in lattice simulations and the corresponding…

We study the renormalization group flow in weak power counting (WPC) renormalizable theories. The latter are theories which, after being formulated in terms of certain variables, display only a finite number of independent divergent…

High Energy Physics - Theory · Physics 2015-06-22 D. Bettinelli , D. Binosi , A. Quadri

I adapt a numerical method, previously applied to investigate the Yang-Mills vacuum wavefunctional, to the problem of extracting the effective Polyakov line action from SU(N) lattice gauge theories, with or without matter fields. The method…

High Energy Physics - Lattice · Physics 2013-05-30 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

By dressing Polyakov lines with appropriate functionals of the gauge fields, we construct observables describing a fundamental representation static quark-antiquark pair in the singlet, adjoint and average channels of SU(N) pure gauge…

High Energy Physics - Lattice · Physics 2009-11-07 O. Philipsen

Lepage and Mackenzie have shown that tadpole renormalization and systematic improvement of lattice perturbation theory can lead to much improved numerical results in lattice gauge theory. It is shown that lattice perturbation theory using…

High Energy Physics - Lattice · Physics 2009-10-28 Vipul Periwal

The gauge group being centreless, $G_2$ gauge theory is a good laboratory for studying the role of the centre of the group for colour confinement in Yang-Mills gauge theories. In this paper, we investigate $G_2$ pure gauge theory at finite…

High Energy Physics - Lattice · Physics 2008-11-26 Guido Cossu , Massimo D'Elia , Adriano Di Giacomo , Biagio Lucini , Claudio Pica