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Related papers: Center Projection With and Without Gauge Fixing

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We explore vortex formation for Abelian projected SU(2) in the Polyakov gauge and compare the results with those calculated in the maximal Abelian gauge. In both gauges, a non-zero vacuum expectation value of a monopole field operator…

High Energy Physics - Lattice · Physics 2009-12-30 K. Bernstein , G. Di Cecio , R. W. Haymaker

We discuss a particular lattice discretization of abelian gauge theories in arbitrary dimensions. The construction is based on gauging the center symmetry of a non-compact abelian gauge theory, which results in a Villain type action. We…

High Energy Physics - Lattice · Physics 2019-06-26 Tin Sulejmanpasic , Christof Gattringer

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

We smear Z(2) center vortices in lattice gauge configurations such as to recover thick vortices with full SU(2) Yang-Mills information. In particular, we address the problem that using Z(2) configurations in conjunction with overlap (or…

High Energy Physics - Lattice · Physics 2015-04-30 Roman Höllwieser , Michael Engelhardt

We numerically investigate the phase diagram of pure U(1) gauge theory with gauge fixing at strong gauge coupling. The FM-FMD phase transition, which proved useful in defining Abelian lattice chiral gauge theory, persists also at strong…

High Energy Physics - Lattice · Physics 2007-05-23 S. Basak , Asit K. De

Center vortices are studied in SU(3) gauge theory using Maximal Center Gauge (MCG) fixing. Stout link smearing and over-improved stout link smearing are used to construct a preconditioning gauge field transformation, applied to the original…

High Energy Physics - Lattice · Physics 2011-02-18 Alan Ó Cais , Waseem Kamleh , Kurt Langfeld , Ben Lasscock , Derek Leinweber , Peter Moran , Andre Sternbeck , Lorenz von Smekal

We gauge fix 600 SU(3) beta=6.0 configurations on a 16^4 lattice to a simple form of the maximal abelian gauge. We project the SU(3) valued links to the U(1)xU(1) subgroup, and extract U(1)xU(1) and monopole string tensions. After gauge…

High Energy Physics - Lattice · Physics 2007-05-23 William W. Tucker , John D. Stack

An overrelaxed variant of simulated annealing is applied to the problem of maximally abelian gauge fixing. The superiority of this algorithm over the commonly used relaxation procedure is demonstrated. Biases on non gauge invariant…

High Energy Physics - Lattice · Physics 2009-10-28 G. S. Bali , V. Bornyakov , M. Müller-Preussker , F. Pahl

Gauge fixing is a frequent task encountered in practical lattice gauge theory calculations. We review the performance characteristics of some standard gauging procedures for non-abelian gauge theories, implemented on the parallel machines…

High Energy Physics - Lattice · Physics 2007-05-23 H. Suman , K. Schilling

The lattice phase structure of a gauge theory can be a serious obstruction to Monte Carlo studies of its continuum behaviour. This issue is particularly delicate when numerical studies are performed to determine whether a theory is in a…

High Energy Physics - Lattice · Physics 2014-08-14 Biagio Lucini , Agostino Patella , Antonio Rago , Enrico Rinaldi

We consider a lattice discretization of a covariantly gauge-fixed abelian gauge theory. The gauge fixing is part of the action defining the theory, and we study the phase diagram in detail. As there is no BRST symmetry on the lattice,…

High Energy Physics - Lattice · Physics 2009-10-31 Wolfgang Bock , Maarten F. L. Golterman , Ka Chun Leung , Yigal Shamir

We perform lattice Monte-Carlo simulations of pure SU(2) QCD using the multi-level method. We find Abelian dominance in local unitary gauges such as those diagonalizing a plaquette. A static potential described by Abelian link fields alone…

High Energy Physics - Lattice · Physics 2008-11-26 Toru Sekido , Katsuya Ishiguro , Yoshihiro Mori , Tsuneo Suzuki

We study the interplay between Dirac eigenmodes and center vortices in SU(2) lattice gauge theory. In particular we focus on vortex-removed configurations and compare them to an ensemble of configurations with random changes of the link…

High Energy Physics - Lattice · Physics 2009-11-10 Jochen Gattnar , Christof Gattringer , Kurt Langfeld , Hugo Reinhardt , Andreas Schafer , Stefan Solbrig , T. Tok

Configurations of pure SU(2) gauge field theory on the lattice are transformed to Landau gauge. After Fourier transformation, large momentum amplitudes are suppressed (filtered) by a variable amount, and the configurations are transformed…

High Energy Physics - Lattice · Physics 2007-05-23 F. Gutbrod

We perform the careful study of the gauge copies problem for the direct center projection in SU(2) lattice gauge theory. Our results indicate that this gauge is not appropriate for the investigation of the center vortices. We also show that…

High Energy Physics - Lattice · Physics 2009-10-31 V. G. Bornyakov , D. A. Komarov , M. I. Polikarpov , A. I. Veselov

We study SU(2) gauge theory with two Dirac fermions in the adjoint representation of the gauge group on the lattice. Using clover improved Wilson fermion action with hypercubic truncated stout smearing we perform simulations at larger…

High Energy Physics - Lattice · Physics 2016-05-27 Jarno Rantaharju , Teemu Rantalaiho , Kari Rummukainen , Kimmo Tuominen

We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. Motivated…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

A recent lattice study of the Landau-gauge overlap quark propagator has shown a connection between centre vortices and dynamical chiral symmetry breaking in $\mathrm{SU}(3)$ gauge theory. We further investigate this relationship through an…

High Energy Physics - Lattice · Physics 2021-04-08 Amalie Trewartha , Waseem Kamleh , Derek Leinweber

Center projection of SU(2) lattice gauge theory allows to isolate magnetic vortices as confining configurations. The vortex density scales according to the renormalization group, implying that the vortices are physical objects rather than…

High Energy Physics - Lattice · Physics 2009-10-31 M. Engelhardt , K. Langfeld , H. Reinhardt , O. Tennert

It is shown that U(1) chiral gauge theories with anomaly-free multiplets of Weyl fermions can be put on the lattice without breaking the gauge invariance or violating any other fundamental principle. The Ginsparg-Wilson relation plays a key…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Lüscher