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Related papers: Approaching $SU(2)$ gauge dynamics with smeared $Z…

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We show that gauge invariant definition of thin, thick and hybrid center vortices, defined by Kovacs and Tomboulis on SO(3) x Z(2) configurations, can also be defined in SU(2). We make this connection using the freedom of choosing a…

High Energy Physics - Lattice · Physics 2009-11-07 Andrei Alexandru , Richard W. Haymaker

We present numerical evidence that supports the theory of quark confinement based on center vortex condensation. We introduce a special gauge ("maximal center gauge") and center projection, suitable for identification of center vortices.…

High Energy Physics - Lattice · Physics 2007-05-23 L. Del Debbio , M. Faber , J. Greensite , S. Olejnik

Intersections of thick, plane SU(2) center vortices are characterized by the topological charge |Q|=1/2. We compare such intersections with the distribution of zeromodes of the Dirac operator in the fundamental and adjoint representation…

High Energy Physics - Lattice · Physics 2011-06-22 Roman Höllwieser , Manfried Faber , Urs M. Heller

We present a first real-time study of hadronic scattering in a $(1+1)$-dimensional SU(2) lattice gauge theory with fundamental fermions using tensor-network techniques. Working in the gaugeless Hamiltonian formulation, we investigate…

High Energy Physics - Lattice · Physics 2026-04-09 João Barata , Juan Hormaza , Zhong-Bo Kang , Wenyang Qian

We present a new way of fixing the gauge to (direct) maximal center gauge in SU(N) Yang-Mills theory and apply this method to SU(3) configurations which are vortex-like. We study the structure of the Z_3 configurations obtained after…

High Energy Physics - Lattice · Physics 2009-10-31 A. Montero

We study the behavior of the AsqTad quark propagator in Landau gauge on quenched SU(2) gauge configurations under the removal of center vortices. In contrast to recent results in SU(3), we clearly see the infrared enhancement of the mass…

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

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 report two probes of centre vortices in pure SU(2). First, we attempt to generate plaquette-size Z(2) vortices in a quasi-random way to compare the structure with those of projected centre vortices from the full theory; our prescription…

High Energy Physics - Lattice · Physics 2015-06-25 P. W. Stephenson

SU(2) lattice gauge theory with dynamical fermion at non-zero chemical potential and at finite temperature is studied. We focus on the influence of chemical potential for quark condensate and mass of pseudoscalar meson at finite…

High Energy Physics - Lattice · Physics 2019-08-17 Y. Liu , O. Miyamura , A. Nakamura , T. Takaishi

The Wegner $Z_2$ gauge theory-$Z_2$ Ising spin model duality in $(2+1)$ dimensions is revisited and derived through a series of canonical transformations. The Kramers-Wannier duality is similarly obtained. The Wegner $Z_2$ gauge-spin…

High Energy Physics - Lattice · Physics 2016-11-21 Manu Mathur , T. P. Sreeraj

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

Using lattice QCD, we reveal a fundamental connection between centre vortices and several key features associated with dynamical chiral symmetry breaking and quark confinement. Calculations are performed in pure SU(3) gauge theory using the…

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

Topological defects such as monopoles, vortices and "chains"of the SU(3) gauge group are studied using its SU(2) subgroups. Two appropriate successive gauge transformations are applied to the subgroups to identify the chains of monopoles…

High Energy Physics - Phenomenology · Physics 2024-01-17 N. Karimimanesh , S. Deldar , Z. Asmaee

We discuss a new lattice implementation of the linear covariant gauge, recently introduced in [1]. In particular, we present details of the numerical procedure for fixing the gauge. We also report on preliminary results for the transverse…

High Energy Physics - Lattice · Physics 2011-07-14 Attilio Cucchieri , Tereza Mendes , Elton M. da S. Santos

We study charged Dirac fermions on an AdS$_2\times R^2$ background with a non-zero magnetic field. Under certain boundary conditions, we show that the charged fermion can make the background unstable, resulting in spontaneously formation of…

High Energy Physics - Theory · Physics 2014-02-26 M. Reza Mohammadi Mozaffar , Ali Mollabashi

We study Dirac fermions in two spatial dimensions (2D) coupled to strongly fluctuating U(1) gauge fields in the presence of quenched disorder. Such systems are dual to theories of free Dirac fermions, which are vortices of the original…

Strongly Correlated Electrons · Physics 2018-01-03 Hart Goldman , Michael Mulligan , S. Raghu , Gonzalo Torroba , M. Zimet

We apply Schrodinger-functional techniques to the SU(2) lattice gauge theory with N_f=2 flavors of fermions in the adjoint representation. Our use of hypercubic smearing enables us to work at stronger couplings than did previous studies,…

High Energy Physics - Lattice · Physics 2011-05-10 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We present a numerical treatment of a novel non-perturbative lattice regularization of a $1+1d$ $SU(2)$ Chiral Gauge Theory. Our approach follows recent proposals that exploit the newly discovered connection between anomalies and…

High Energy Physics - Lattice · Physics 2017-06-16 Michael DeMarco , Xiao-Gang Wen

An analysis of the geometry and structure of centre vortices in the presence of dynamical fermions is performed. A variety of metrics are used to measure the matrix structure of the vortex-modified gauge fields. Visualisations of centre…

High Energy Physics - Lattice · Physics 2023-05-31 James C. Biddle , Waseem Kamleh , Derek B. Leinweber