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SU(N_c) Yang-Mills theory is investigated at finite densities of N_f heavy quark flavors. The calculation of the (continuum) quark determinant in the large-mass limit is performed by analytic methods and results in an effective gluonic…

High Energy Physics - Lattice · Physics 2009-10-31 Kurt Langfeld , Gwansoo Shin

Starting from the strong-coupling SU(2) Wilson action in D=3 dimensions, we derive an effective, semi-local action on a lattice of spacing L times the spacing of the original lattice. It is shown that beyond the adjoint color-screening…

High Energy Physics - Lattice · Physics 2009-10-31 M. Faber , J. Greensite , S. Olejnik

A model for the infrared sector of SU(2) Yang-Mills theory, based on magnetic vortices represented by (closed) random surfaces, is presented. The random surfaces, governed by an action penalizing curvature, are investigated using Monte…

High Energy Physics - Theory · Physics 2007-05-23 M. Engelhardt , M. Faber , H. Reinhardt

The impact of $SU(3)$ centre vortices on the gluon propagator in Landau gauge is investigated on original, vortex-removed and vortex-only lattice gauge field configurations. Vortex identification is found to partition the gluon propagator…

High Energy Physics - Lattice · Physics 2018-11-21 James C. Biddle , Waseem Kamleh , Derek B. Leinweber

The relative smoothing rates of various gauge field smoothing algorithms are investigated on ${\cal O}(a^2)$-improved $\suthree$ Yang--Mills gauge field configurations. In particular, an ${\cal O}(a^2)$-improved version of APE smearing is…

High Energy Physics - Lattice · Physics 2010-03-04 Frederic D. R. Bonnet , Derek B. Leinweber , Anthony G. Williams , James M. Zanotti

We elucidate the connection between $SO(3) \times Z(2)$ and the usual SU(2) configuration variables. By exploiting the freedom of choosing a particular SO(3) representative we find a direct connection between the two configuration spaces.…

High Energy Physics - Lattice · Physics 2007-05-23 Richard W. Haymaker , Andrei Alexandru

Starting from thermalized quenched SU(2) configurations we apply cooling or iterated smearing, respectively, to produce sequences of gauge configurations with less and less fluctuations. We compute the low lying spectrum and eigenmodes of…

High Energy Physics - Lattice · Physics 2007-05-23 Christof Gattringer , E. -M. Ilgenfritz , Stefan Solbrig

By means of lattice calculations, center vortices have been established as the infrared dominant gauge field configurations of Yang-Mills theory. In this work, we investigate an ensemble of center vortices in D = 3 Euclidean space-time…

High Energy Physics - Theory · Physics 2018-05-17 L. E. Oxman , H. Reinhardt

We present meson-meson (Wilson loop) correlators in Z(2) center vortex models for the infrared sector of Yang-Mills theory, i.e., a hypercubic lattice model of random vortex surfaces and a continuous 2+1 dimensional model of random vortex…

High Energy Physics - Lattice · Physics 2016-01-20 Roman Höllwieser , Derar Altarawneh

We consider spatial coarse-graining in statistical ensembles of non-selfintersecting and one-fold selfintersecting center-vortex loops as they emerge in the confining phase of SU(2) Yang-Mills thermodynamics. This coarse-graining is due to…

High Energy Physics - Theory · Physics 2009-01-22 Julian Moosmann

We study the potential between static SU(4) sources using the Model of Thick Center Vortices. Such vortices are characterized by the center elements $z_1=\mathrm i$ and $z_2=z_1^2$. Fitting the ratios of string tensions to those obtained in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sedigheh Deldar , Shahnoosh Rafibakhsh

We rewrite the two-dimensional SU(2)$\times$ SU(2) chiral spin model in terms of SO(3) and {\bf Z}$_2$ degrees of freedom. The transformation, which is motivated by a similar representation of the corresponding lattice gauge theory in…

High Energy Physics - Lattice · Physics 2009-10-22 Tamás G. Kovaács , E. T. Tomboulis

In SU(2) lattice gauge theory in maximal center gauge, we investigate the dependence of center-projected Creutz ratios and the vortex density on lattice size and the number of gauge copies. The dependence on the number of copies is rather…

High Energy Physics - Lattice · Physics 2008-11-26 Roman Bertle , Manfried Faber , Jeff Greensite , Stefan Olejnik

We present several new results which pertain to the successes of center projection in maximal center gauge (MCG). In particular, we show why any center vortex, inserted "by hand" into a thermalized lattice configuration, will be among the…

High Energy Physics - Lattice · Physics 2015-06-25 M. Faber , J. Greensite , S. Olejnik , D. Yamada

By using the method of center projection the center vortex part of the gauge field is isolated and its propagator is evaluated in the center Landau gauge, which minimizes the open 3-dimensional Dirac volumes of non-trivial center links…

High Energy Physics - Lattice · Physics 2009-11-11 K. Langfeld , G. Schulze , H. Reinhardt

We perform a lattice calculation of the Schr\"odinger functional running coupling in SU(2) Yang-Mills theory with six massless Wilson fermions in the fundamental representation. The aim of this work is to determine whether the above theory…

High Energy Physics - Lattice · Physics 2013-01-18 Gennady Voronov

In this work we investigate the infrared behaviour of a Yang-Mills theory coupled to a massless fermion in the adjoint representation of the gauge group SU(2). This model has many interesting properties, corresponding to the $\mathcal{N}=2$…

High Energy Physics - Lattice · Physics 2022-12-07 Georg Bergner , Juan Camilo Lopez , Stefano Piemonte , Ivan Soler Calero

The impact of $SU(3)$ centre vortices on the Landau-gauge gluon propagator is calculated in the presence of dynamical fermions and compared to the pure Yang-Mills case. The presence of dynamical fermions is found to alter the behaviour of…

High Energy Physics - Lattice · Physics 2022-06-07 James Biddle , Waseem Kamleh , Derek Leinweber

Lattice simulations are presented showing the expectation of the fluctuation of the Wilson loop solely by elements of the center to fully reproduce the SU(3) heavy quark potential. The results are stable under smoothing, and point to thick…

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

We study the possible connection between centre vortices and P-vortices in SU(2) gauge theory. After briefly recalling some essential properties of centre vortices we point out that there is no known a priori connection between the gauge…

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