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We study the properties of topological defects in the lattice compact Abelian Higgs Model with charge Q=2 matter field. We find that monopoles and antimonopoles form chain-like structures which are dense in the confinement/symmetric phase.…

High Energy Physics - Lattice · Physics 2010-05-27 M. N. Chernodub , R. Feldmann , E. -M. Ilgenfritz , A. Schiller

The purpose of this paper is to describe a relationship between the moduli space of vortices and the moduli space of instantons. We study charge k vortices in U(N) Yang-Mills-Higgs theories and show that the moduli space is isomorphic to a…

High Energy Physics - Theory · Physics 2009-11-10 Amihay Hanany , David Tong

We report on an exact calculation of lattice correlation functions on a finite four-dimensional lattice with either Euclidean or Minkowskian signature. The lattice correlation functions are calculated by the method of differential…

High Energy Physics - Theory · Physics 2023-07-12 Federico Gasparotto , Stefan Weinzierl , Xiaofeng Xu

Lattice artefacts are used, through modified lattice actions, as a tool to find the largest instantons in a toroidal geometry [0,L]^3X[0,T] for T to infinity. It is conjectured that the largest instanton is associated with tunnelling…

High Energy Physics - Lattice · Physics 2008-11-26 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Jeroen Snippe , Pierre van Baal

An effective monopole action is derived from vacuum configurations after abelian projection in the maximally abelian gauge in $SU(2)$ QCD. Entropy dominance over energy of monopole loops is seen on the renormalized lattice with the spacing…

High Energy Physics - Lattice · Physics 2009-10-22 Hiroshi Shiba , Tsuneo Suzuki

Correlations of the topological charge Q, the electric current J^e and the magnetic current J^m in SU(2) lattice gauge theory in the Maximal Abelian projection are investigated. It occurs that the correlator <<QJ^e J^m>> is nonzero for a…

High Energy Physics - Lattice · Physics 2010-04-15 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov

We address the issue why the number and the location of magnetic monopoles detected on lattice configurations are gauge dependent, in contrast with the physical expectation that monopoles have a gauge invariant status. By use of the…

High Energy Physics - Lattice · Physics 2010-12-23 Claudio Bonati , Adriano Di Giacomo , Massimo D'Elia

We calculate the lattice two-point function of topological charge density in pure-glue QCD using the discretization of the operator based on the overlap Dirac matrix. Utilizing data at three lattice spacings it is shown that the continuum…

High Energy Physics - Lattice · Physics 2008-11-26 I. Horvath , A. Alexandru , J. B. Zhang , Y. Chen , S. J. Dong , T. Draper , K. F. Liu , N. Mathur , S. Tamhankar , H. B. Thacker

In quantum field theories, spectral densities are directly related to relevant physical observables. In Lattice QCD, their non-perturbative extraction from first principles requires the Inverse Laplace transform of Euclidean-time…

High Energy Physics - Lattice · Physics 2025-01-29 Matteo Saccardi , Mattia Bruno , Leonardo Giusti

We investigate the role of QCD-monopoles for the $U_{A}(1)$ anomaly in the maximally abelian gauge within the SU(2) lattice gauge theory. The existence of the strong correlation between instantons and QCD-monopoles in the abelian gauge was…

High Energy Physics - Lattice · Physics 2009-10-31 Shoichi Sasaki , Osamu Miyamura

The reasons for using low-lying Dirac eigenmodes to probe the local structure of topological charge fluctuations in QCD are discussed, and it is pointed out that the qualitative double-peaked behavior of the local chiral orientation…

High Energy Physics - Lattice · Physics 2008-11-26 I. Horvath , S. J. Dong , T. Draper , N. Isgur , F. X. Lee , K. F. Liu , J. McCune , H. B. Thacker , J. B. Zhang

Three topics concerning infrared effective lattice QCD are discussed. (1)Perfect lattice action of infrared SU(3) QCD and perfect operators for the static potential are analytically given when we assume two-point monopole interactions…

High Energy Physics - Lattice · Physics 2015-06-25 K. Yamagishi , S. Kitahara , S. Ito , T. Tsunemi , S. Fujimoto , S. Kato , F. Shoji , T. Suzuki , H. Kodama , A. Nakamura

We discuss some properties of the abelian monopoles in compact U(1) gauge theory and in the SU(2) gluodynamics both on the lattice and in the continuum.

High Energy Physics - Lattice · Physics 2008-11-26 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov , A. I. Veselov

The singlet coupling to the topological charge density in the instanton vacuum, causes the instantons and antiinstantons to be screened over distances of the order of 1/2 fm. Dilute instanton systems behave as a free gas, while dense…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. Zahed

We discuss the newly found exact instanton solutions at finite temperature with a non-trivial Polyakov loop at infinity. They can be described in terms of monopole constituents and we discuss in this context an old result due to Taubes how…

High Energy Physics - Theory · Physics 2009-10-31 Thomas C. Kraan , Pierre van Baal

We investigate in detail "instantaneous interquark potentials", interesting gauge-dependent quantities defined from the spatial correlators of the temporal link-variable $U_4$, in generalized Landau gauge using SU(3) quenched lattice QCD.…

High Energy Physics - Lattice · Physics 2011-03-07 Takumi Iritani , Hideo Suganuma

Extended Abelian monopoles are investigated in SU(2) lattice gauge theory in three dimensions. Monopoles are computed by Abelian projection in several gauges, including the maximal Abelian gauge. The number $N_m$ of extended monopoles in a…

High Energy Physics - Lattice · Physics 2009-10-22 G. I. Poulis , Howard D. Trottier , R. M. Woloshyn

The role of monopoles in the confining behavior of compact lattice $QED_3$ is studied using an adiabatic cooling method. Monopole-antimonopole pairs with large separation suvive cooling and the presence or absence of such plasma monopoles…

High Energy Physics - Lattice · Physics 2009-10-22 Howard D. Trottier , R. M. Woloshyn

We derive the precise relation between level matching condition and fractional instanton numbers in six dimensional, abelian and supersymmetric orbifolds of E8 x E8 heterotic string theory. The fractional part of the two E8 instanton…

High Energy Physics - Theory · Physics 2009-10-31 Jan O. Conrad

3D Georgi-Glashow model is studied on the lattice in the London limit in an infrared but an intermediate region before the screening appears. Abelian and instanton dominances are observed after abelian projections in a unitary gauge and…

High Energy Physics - Lattice · Physics 2010-02-03 Tateaki Yazawa , Tsuneo Suzuki
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