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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

We study Casimir scaling and renormalization properties of Polyakov loops in different irreducible representations in SU(N) gauge theories; in particular, we investigate the approach to the large-N limit, by performing lattice simulations…

High Energy Physics - Lattice · Physics 2012-05-17 Anne Mykkanen , Marco Panero , Kari Rummukainen

K strings in Yang-Mills theory can be considered as bound states of k elementary confining strings carrying one unit of colour flux. Current estimates of k-string tension sigma_k are very sensitive to the leading corrections due to quantum…

High Energy Physics - Lattice · Physics 2008-11-26 Pietro Giudice , Ferdinando Gliozzi , Stefano Lottini

We apply a tensor network scheme to finite temperature Z$_2$ gauge theory in 2+1 dimensions. Finite size scaling analysis with the spatial extension up to $N_{\sigma}=4096$ at the temporal extension of $N_\tau=2,3,5$ allows us to determine…

High Energy Physics - Lattice · Physics 2019-09-04 Yoshinobu Kuramashi , Yusuke Yoshimura

We report on a high precision Montecarlo test of the three dimensional Ising gauge model at finite temperature. The string tension $\sigma$ is extracted from the expectation values of correlations of Polyakov lines. Agreement with the…

High Energy Physics - Lattice · Physics 2015-06-25 M. Caselle , R. Fiore , F. Gliozzi , S. Vinti

At very high temperatures Yang--Mills theories can be described through perturbation theory. At the tree level the time components of the gluon fields decouple and yield a dimensionally reduced theory. The expectation value of the Polyakov…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michaela Oswald

The Polyakov loop and the chiral condensate are used as order parameters to explore analytically the possible phase structure of finite temperature QCD. Nambu-Jona-Lasinio models in a background temporal gauge field are combined with a…

High Energy Physics - Lattice · Physics 2009-10-28 Peter N. Meisinger , Michael C. Ogilvie

We study the detailed properties of Z_2 domain walls in the deconfined high temperature phase of the d=2+1 SU(2) gauge theory. These walls are studied both by computer simulations of the lattice theory and by one-loop perturbative…

High Energy Physics - Lattice · Physics 2016-08-24 C. Korthals Altes , A. Michels , M. Stephanov , M. Teper

From the long-distance behaviour of gluon and Polyakov loop correlation functions we extract masses resp. energies in the electric and magnetic sectors. We discuss their dependence on the temperature and on the momentum as well as the…

High Energy Physics - Lattice · Physics 2009-10-30 U. M. Heller , F. Karsch , J. Rank

Owing to Lorentz invariance, the leading terms in the effective action describing the low-energy dynamics of flux tubes in a confining gauge theory are universal. Besides the terms corresponding to the Nambu-Goto action, Lorentz invariance…

High Energy Physics - Lattice · Physics 2015-05-12 Michele Caselle , Davide Vadacchino , Marco Panero , Roberto Pellegrini

We study the Polyakov line in Yang-Mills matrix models, which include the IKKT model of IIB string theory. For the gauge group SU(2) we give the exact formulae in the form of integral representations which are convenient for finding the…

High Energy Physics - Theory · Physics 2009-11-10 Peter Austing , Graziano Vernizzi , John F. Wheater

An improved unified formulation based on the effective field theory is introduced for a spin-1/2 Ising model with nearest neighbor interactions with arbitrary coordination number z. Present formulation is capable of calculating all the…

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı

I discuss the recent progress in bypassing the KPZ barrier for the existence of nonperturbative bosonic strings in $1<d<25$. I consider string anomalies which emerge from higher terms of the DeWitt-Seeley expansion as $\varepsilon \times…

High Energy Physics - Theory · Physics 2023-11-06 Yuri Makeenko

Using a variant of the IMCRG method of Gupta and Cordery, we explicitly compute majority rule block spin effective actions for the signs of the Polyakov loops in 4D SU(2) finite temperature lattice gauge theories. To the best of our…

High Energy Physics - Lattice · Physics 2009-10-30 K. Pinn , S. Vinti

We investigate correlation functions of the Polyakov loop and static meson/diquark systems with the chiral condensate and the quark number density at finite temperature. In particular the latter observable can give insight in the mechanism…

High Energy Physics - Lattice · Physics 2009-04-14 Kay Huebner

In earlier work, we set up an effective potential approach at zero temperature for the Gribov-Zwanziger model that takes into account not only the restriction to the first Gribov region as a way to deal with the gauge fixing ambiguity, but…

High Energy Physics - Theory · Physics 2023-05-03 David Dudal , David Vercauteren

In previous work we used magnetic SU(N) gauge theory with adjoint representation Higgs scalars to describe the long distance quark-antiquark interaction in pure Yang-Mills theory, and later to obtain an effective string theory. The…

High Energy Physics - Phenomenology · Physics 2013-01-21 M. Baker

We discuss the two- and three-point correlators in the two-dimensional three-state Potts model in the high-temperature phase of the model. By using the form factor approach and perturbed conformal field theory methods we are able to…

High Energy Physics - Theory · Physics 2011-02-16 M. Caselle , G. Delfino , P. Grinza , O. Jahn , N. Magnoli

We consider a dual representation of an effective three-dimensional Polyakov loop model for the SU(3) theory at nonzero real chemical potential. This representation is free of the sign problem and can be used for numeric Monte-Carlo…

High Energy Physics - Lattice · Physics 2021-12-02 Oleg Borisenko , Volodymyr Chelnokov , Emanuele Mendicelli , Alessandro Papa

A non-perturbative method of Field Correlators is applied to calculate the Polyakov loop dependence on temperature, $L(T)$, in the 2+1 flavor QCD with small quark masses, so the only relevant scale is the color-electric string tension…

High Energy Physics - Phenomenology · Physics 2019-04-02 R. A Abramchuk , Z. V. Khaidukov , Yu. A. Simonov