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We present simulation results comparing the SU(3) heavy quark potential extracted from the full Wilson loop expectation to that extracted from the expectation of the Wilson loop fluctuation solely by elements of Z(3). The two potentials are…

High Energy Physics - Lattice · Physics 2009-10-31 T. G. Kovács , E. T. Tomboulis

Suppressing monopoles and vortices by introducing large chemical potentials for them in the Wilson action for the SU(2) lattice gauge theory, we study the nature of the deconfinement phase transition on N_\sigma^3 \times N_\tau lattices for…

High Energy Physics - Lattice · Physics 2009-10-31 Rajiv V. Gavai

In center vortex theory, beyond the simplest picture of confinement several conceptual problems arise that are the subject of this paper. Confinement arises through averaging of phase factors which are gauge-group center elements raised to…

High Energy Physics - Theory · Physics 2008-11-26 John M. Cornwall

P-vortices, in an SU(N) lattice gauge theory, are excitations on the center-projected Z(N) lattice. We study the ratio of expectation values of SU(2) Wilson loops, on the unprojected lattice, linked to a single P-vortex, to that of Wilson…

High Energy Physics - Lattice · Physics 2013-05-30 Patrick Dunn , Jeff Greensite

We report on two recent developments in the center vortex theory of confinement: (i) the asymptotic scaling of the vortex density, as measured in Monte Carlo simulations; and (ii) an explanation of Casimir scaling and the adjoint string…

High Energy Physics - Lattice · Physics 2008-11-26 M. Faber , J. Greensite , S. Olejnik

Suppressing monopoles and vortices by introducing large chemical potentials for them in the Wilson action for the SU(2) lattice gauge theory, we study the nature of the deconfinement phase transition on N_sigma^3 X N_tau lattices for N_tau…

High Energy Physics - Lattice · Physics 2009-10-31 Rajiv V. Gavai

There has been substantial progress in understanding confinement in a class of four-dimensional SU(N) gauge theories using semiclassical methods. These models have one or more compact directions, and much of the analysis is based on the…

High Energy Physics - Theory · Physics 2014-10-08 Michael C. Ogilvie

This article gives a rigorous formulation and proof of the $1/N$ expansion for Wilson loop expectations in strongly coupled $SU(N)$ lattice gauge theory in any dimension. The coefficients of the expansion are represented as absolutely…

Probability · Mathematics 2016-10-13 Jafar Jafarov

Using a plaquette formulation for lattice gauge models we describe monopoles of the three dimensional SU(2) theory which appear as configurations in the complete axial gauge and violate the continuum Bianchi identity. Furthemore we derive a…

High Energy Physics - Lattice · Physics 2015-05-28 O. Borisenko , S. Voloshyn , J. Boháčik

We study the phase diagram of the SU(2) lattice gauge theory with fundamental-adjoint Wilson plaquette action. We confirm the presence of a first order bulk phase transition and we estimate the location of its end-point in the bare…

High Energy Physics - Lattice · Physics 2013-02-21 Enrico Rinaldi , Giuseppe Lacagnina , Biagio Lucini , Agostino Patella , Antonio Rago

SU(2) lattice gauge theory is investigated where the traces of the Wilson lines at any lattice point and along each direction is constrained to zero. Hence, each of the lattice configurations possesses a vanishing density of heavy (anti-)…

High Energy Physics - Lattice · Physics 2007-05-23 Kurt Langfeld , Norbert Lages , Hugo Reinhardt

We study the distribution of P-vortices near the confining string in the indirect Z(2) projection of SU(2) lattice gauge theory. It occurs that the density of vortices is constant at large distances and strongly suppressed near the line…

High Energy Physics - Lattice · Physics 2009-11-07 V. G. Bornyakov , A. V. Kovalenko , M. I. Polikarpov , D. A. Sigaev

The uniquess of the effective actions describing 4D SU(2) and SU(3) continuum, infinite-volume Yang-Mills thermodynamics in their deconfining and preconfining phases is made explicit. Subsequently, the spatial string tension is computed in…

High Energy Physics - Theory · Physics 2014-11-18 Josef Ludescher , Jochen Keller , Francesco Giacosa , Ralf Hofmann

SU(2) gauge theory with one Dirac flavour in the adjoint representation is investigated on a lattice. Initial results for the gluonic and mesonic spectrum, static potential from Wilson and Polyakov loops, and the anomalous dimension of the…

High Energy Physics - Lattice · Physics 2015-06-24 Andreas Athenodorou , Ed Bennett , Georg Bergner , Biagio Lucini

I report on the status of a computation of fundamental and some higher representation string tensions in pure gauge SU(3). An order a^2 tadpole improved action and an anisotropic lattice are used. At present, the static quark potentials and…

High Energy Physics - Lattice · Physics 2009-10-31 Sedigheh Deldar

We perform simulations of an effective theory of SU(2) Wilson lines in three dimensions. Our action includes a kinetic term, the one-loop perturbative potential for the Wilson line, a non-perturbative "fuzzy-bag" contribution and spatial…

High Energy Physics - Lattice · Physics 2009-05-26 Dominik Smith

The structure of centre vortices in SU(3) gauge-field configurations is examined through modern visualization techniques. Centre vortices are identified through gauge transformations maximizing the centre of the gauge group. Focusing on the…

High Energy Physics - Lattice · Physics 2019-03-20 James C. Biddle , Waseem Kamleh , Derek B. Leinweber

SU(N) gauge theories, extended with adjoint fermions having periodic boundary conditions, are confining at high temperature for sufficiently light fermion mass m. Lattice simulations indicate that this confining region is smoothly connected…

High Energy Physics - Lattice · Physics 2010-01-21 Michael C. Ogilvie , Peter N. Meisinger

We apply score-based diffusion models to two-dimensional SU(2) lattice pure gauge theory with the Wilson action, extending recent work on U(1) gauge theories. The SU(2) manifold structure is handled through a quaternion parameterization.…

High Energy Physics - Lattice · Physics 2026-02-24 H. Alharazin , J. Yu. Panteleeva , B. -D. Sun

We analyze a two dimensional SU(3) gauge model of Wilson lines as a dimensionally reduced model of high temperature QCD_3. In contrast to perturbative dimensional reduction it has an explicit global Z(3) symmetry in the action. The phase…

High Energy Physics - Lattice · Physics 2009-11-10 P. Bialas , A. Morel , B. Petersson