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We derive the Polyakov-loop thermodynamic potential in the perturbative approach to pure SU(3) Yang-Mills theory. The potential expressed in terms of the Polyakov loop in the fundamental representation corresponds to that of the…

High Energy Physics - Phenomenology · Physics 2013-12-16 Chihiro Sasaki

In this paper we discuss the blackhole-string transition of the small Schwarzschild blackhole of $AdS_5 \times S^5$ using the AdS/CFT correspondence at finite temperature. The finite temperature gauge theory effective action, at weak {\it…

High Energy Physics - Theory · Physics 2008-11-26 Luis Alvarez-Gaume , Pallab Basu , Marcos Marino , Spenta R. Wadia

We study a five-leg scattering amplitude on the special Coulomb branch of planar N=4 super Yang-Mills theory. We reach this point of the moduli space of scalar vacuum expectation values by considering six-dimensional N=(1,1) super…

High Energy Physics - Theory · Physics 2025-10-21 A. V. Belitsky , L. V. Bork , R. N. Lee , A. I. Onishchenko , V. A. Smirnov

We consider higher-point generalizations of the "octagon" large-charge four-point function in planar N=4 super Yang-Mills theory. These n-point polygon correlators are defined as ten-dimensional null limits of generating functions of…

High Energy Physics - Theory · Physics 2026-01-23 Till Bargheer , Albert Bekov , Carlos Bercini , Frank Coronado

We explore the 't Hooft-Veneziano limit of the Polyakov loop models at finite baryon chemical potential. Using methods developed by us earlier we calculate the two- and $N$-point correlation functions of the Polyakov loops. This gives a…

High Energy Physics - Lattice · Physics 2023-11-08 O. Borisenko , V. Chelnokov , S. Voloshyn

I describe a study of the two-point single-eigenvalue distribution correlation function of Polyakov loops in the confined phase of four dimensional SU(N) YM theory at large N. The reasons for the interest in this correlation function are…

High Energy Physics - Lattice · Physics 2014-10-14 Herbert Neuberger

We revisit the relation of the six-dimensional (2,0) M5-brane Conformal Field Theory compactified on a circle to 5D maximally supersymmetric Yang-Mills Gauge Theory. We show that in the broken phase 5D super-Yang-Mills contains a spectrum…

High Energy Physics - Theory · Physics 2011-02-23 Neil Lambert , Constantinos Papageorgakis , Maximilian Schmidt-Sommerfeld

Coulomb branch amplitudes of maximally supersymmetric Yang-Mills theory display infrared properties different from their conformal counterparts. While the four-leg amplitude is known to very high perturbative orders, amplitudes of higher…

High Energy Physics - Theory · Physics 2025-08-21 A. V. Belitsky , V. A. Smirnov

We study the high energy limit of a six-point R-current correlator in N=4 supersymmetric Yang-Mills theory for finite N_c. We make use of the framework of perturbative resummation of large logarithms of the energy. More specifically, we…

High Energy Physics - Theory · Physics 2010-05-12 Jochen Bartels , Carlo Ewerz , Martin Hentschinski , Anna-Maria Mischler

We derive analytically one-loop corrections to the effective Polyakov-line operator in the branched-polymer approximation of the reduced four-dimensional supersymmetric Yang-Mills integrals.

High Energy Physics - Theory · Physics 2007-05-23 Zdzislaw Burda , Bengt Petersson , Marc Wattenberg

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 present new results of the quenched simulations of the reduced D=4 supersymmetric Yang - Mills quantum mechanics for larger gauge groups SU(N), 2<N<9. The model, studied at finite temperature, reveals existence of the two distinct…

High Energy Physics - Lattice · Physics 2015-06-25 P. Bialas , J. Wosiek

Four-dimensional $\mathcal{N}=4$ supersymmetric Yang-Mills theory, at a point on the Coulomb branch where $SU(N)$ gauge symmetry is spontaneously broken to $SU(N-1)\times U(1)$, admits BPS solitons describing a spherical shell of electric…

High Energy Physics - Theory · Physics 2021-06-02 S. Prem Kumar , Andy O'Bannon , Anton Pribytok , Ronnie Rodgers

We study the Schur line defect correlation functions in $\mathcal{N}=4$ and $\mathcal{N}=2^*$ $U(N)$ super Yang-Mills (SYM) theory. We find exact closed-form formulae of the correlation functions of the Wilson line operators in the…

High Energy Physics - Theory · Physics 2023-06-29 Yasuyuki Hatsuda , Tadashi Okazaki

This paper concludes our efforts in describing SU(3)-Yang-Mills theories at different couplings/temperatures in terms of effective Polyakov-loop models. The associated effective couplings are determined through an inverse Monte Carlo…

High Energy Physics - Lattice · Physics 2008-11-26 Christian Wozar , Tobias Kaestner , Andreas Wipf , Thomas Heinzl

Lattice discretization of the supersymmetric Yang-Mills quantum mechanics is reviewed and results of the Monte Carlo simulations of the simplified model are presented. The D=4, N=2, quenched system, studied at finite temperature, reveals…

High Energy Physics - Lattice · Physics 2007-05-23 P. Bialas , J. Wosiek

Our aim is to give a self-contained review of recent advances in the analytic description of the deconfinement transition and determination of the deconfinement temperature in lattice QCD at large N. We also include some new results, as for…

High Energy Physics - Theory · Physics 2015-06-26 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

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

We discuss a 4-dimensional nonsupersymmetric black hole solution to low energy type IIA string theory which carries D0- and D6-brane charges. For equal charges this solution reduces to the one discussed recently by Sheinblatt. We present a…

High Energy Physics - Theory · Physics 2009-10-31 Avinash Dhar , Gautam Mandal

Screening properties of the quark gluon plasma are studied from Polyakov-loop correlation in lattice QCD simulations with two flavors of improved Wilson quarks at temperatures $T/\Tpc \simeq 1$--4 where $\Tpc$ is the pseudocritical…

High Energy Physics - Lattice · Physics 2010-01-21 Y. Maezawa , S. Aoki , S. Ejiri , T. Hatsuda , N. Ishii , K. Kanaya , N. Ukita , T. Umeda