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We study the vacuum structure and dyon spectrum of N=2 supersymmetric gauge theory in four dimensions, with gauge group SU(2). The theory turns out to have remarkably rich and physical properties which can nonetheless be described…

High Energy Physics - Theory · Physics 2010-04-07 N. Seiberg , E. Witten

It is shown that physical states of a non-abelian Yang-Mills-Higgs dyon are invariant under large gauge transformations that do not commute with its magnetic field. This result is established within an enlarged Hamiltonian formalism where…

High Energy Physics - Theory · Physics 2007-05-23 Marcos Alvarez

We study the relation between instantons and monopoles in the abelian gauge. First, we investigate the monopole in the multi-instanton solution in the continuum Yang-Mills theory using the Polyakov gauge. At a large instanton density, the…

High Energy Physics - Lattice · Physics 2009-10-28 H. Suganuma , S. Sasaki , H. Ichie , F. Araki , O. Miyamura

A study of the center symmetric phase of SU(2) Yang Mills theory is presented. Realization of the center symmetry is shown to result from non-perturbative gauge fixing. Dictated by the center symmetry, this phase exhibits already at the…

High Energy Physics - Theory · Physics 2009-10-31 F. Lenz , M. Thies

The mechanism of confinement in Yang-Mills theories remains a challenge to our understanding of nonperturbative gauge dynamics. While it is widely perceived that confinement may arise from chromo-magnetically charged gauge configurations…

High Energy Physics - Phenomenology · Physics 2018-03-28 Miguel Angel Lopez-Ruiz , Yin Jiang , Jinfeng Liao

The far-from-equilibrium dynamics of spatial Polyakov loop correlations, which provide gauge-invariant observables akin to effective particle numbers for gluon plasmas, are investigated within real-time $\mathrm{SU}(N_c)$ lattice gauge…

High Energy Physics - Phenomenology · Physics 2025-05-26 Daniel Spitz , Kirill Boguslavski , Thimo Preis

Monte-Carlo simulations of abelian projection in $T \neq 0$ pure lattice QCD show that 1)\ Polyakov loops written in terms of abelian link fields alone play a role of an order parameter of deconfinement transition 2)\ the abelian Polyakov…

High Energy Physics - Lattice · Physics 2009-10-28 Yoshimi Matsubara , Sawut Ilyar , Tsuyoshi Okude , Kenji Yotsuji , Tsuneo Suzuki

We study the connection between monopoles and instantons in the Polyakov-like gauge, and the behavior of the monopole trajectories generated by instantons at finite temperature. The monopole trajectories become long and complicated at the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fumiaki Araki , Hideo Suganuma , Hiroshi Toki

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

The properties of the thermal Abelian monopoles are studied in the deconfinement phase of the SU(2) gluodynamics. To remove effects of Gribov copies the simulated annealing algorithm is applied to fix the maximally Abelian gauge. To study…

High Energy Physics - Lattice · Physics 2013-05-29 V. G. Bornyakov , V. V. Braguta

We study confinement and deconfinement in dense two color QCD by analyzing the dynamics of thermal quarks and gluons. The Polyakov loop is used as a probe of the relevant thermal excitations, distinguishing quark and hadron dominated…

High Energy Physics - Phenomenology · Physics 2025-11-21 Yugo Kurebayashi , Toru Kojo , Daiki Suenaga

Confinement remains one the most interesting and challenging nonperturbative phenomenon in non-Abelian gauge theories. Recent semiclassical (for SU(2)) and lattice (for QCD) studies have suggested that confinement arises from interactions…

High Energy Physics - Phenomenology · Physics 2021-09-15 Dallas DeMartini , Edward Shuryak

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

Pure Yang-Mills instantons are considered on S^1 x R^3 -- so-called calorons. The holonomy -- or Polyakov loop around the thermal S^1 at spatial infinity -- is assumed to be a non-centre element of the gauge group SU(n) as most appropriate…

High Energy Physics - Theory · Physics 2007-05-23 Daniel Nogradi

We show that the Polyakov loop approaches its asymptotic value at high temperatures {\it from below} in any strongly-coupled gauge theory at large $N_c$ with a dual supergravity description. In these theories the Polyakov loop can be used…

High Energy Physics - Theory · Physics 2014-11-20 Jorge Noronha

Basing on a semiclassical picture of dyons, we present a nonperturbative model of a pure Yang--Mills theory at any temperatures, for an arbitrary simple gauge group. We argue that at low temperatures dyons drive the Yang--Mills system for…

High Energy Physics - Theory · Physics 2011-07-28 Dmitri Diakonov , Victor Petrov

Using lattice simulations of quenched QCD we estimate the finite size effects present when a gluon plasma equilibrates in a slab geometry, i.e., finite width but large transverse dimensions. Significant differences are observed in the free…

High Energy Physics - Lattice · Physics 2009-10-31 Andy Gopie , Michael C. Ogilvie

A modified version of the double potential formalism for the electrodynamics of dyons is constructed. Besides the two vector potentials, this manifestly duality invariant formulation involves four additional potentials, scalar potentials…

High Energy Physics - Theory · Physics 2008-11-26 Glenn Barnich , Andres Gomberoff

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 2013-02-01 Chihiro Sasaki , Krzysztof Redlich

A non-perturbative mass of $0.2719 g^2 T$ is generated for the magnetic sector of the $SU(2)$ gauge theory at high temperature due to the condensation of Polyakov \cite{Pol} monopole and antimonopole which form a magnetic glue ball. String…

High Energy Physics - Lattice · Physics 2009-10-28 Satchidananda Naik