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Related papers: The lattice SU(2) confining string as an Abrikosov…

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We calculate the electric flux and magnetic monopole current distribution in the presence of a static quark-antiquark pair for SU(2) lattice gauge theory in the maximal Abelian gauge. The current distribution confines the flux in a dual…

High Energy Physics - Lattice · Physics 2009-10-22 V. Singh , D. A. Browne , R. W. Haymaker

The spatial distribution of fields and currents in confining theories can give direct evidence of dual superconductivity. We review the behavior of vortices in the lattice Higgs effective theory. We discuss the techniques for finding these…

High Energy Physics - Lattice · Physics 2016-09-01 Richard W. Haymaker

We address the problem of determining the type I, type II or borderline dual superconductor behavior in maximal Abelian gauge SU(2) through the study of the dual Abrikosov vortex. We find that significant electric currents in the simulation…

High Energy Physics - Lattice · Physics 2008-11-26 Richard W. Haymaker , Takayuki Matsuki

After fixing the Maximal Abelian gauge in SU(2) lattice gauge theory we decompose the nonabelian gauge field into the so called monopole field and the modified nonabelian field with monopoles removed. We then calculate respective static…

High Energy Physics - Lattice · Physics 2009-11-11 V. G. Bornyakov , M. I. Polikarpov , G. Schierholz , T. Suzuki , S. N. Syritsyn

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

We study straight vortices with global longitudinal currents in the Bogomol'ny limit of the Abelian Higgs model with two charged scalar fields. The model possesses global SU(2) and local electromagnetic U(1) symmetries spontaneously broken…

High Energy Physics - Theory · Physics 2015-03-17 M. N. Chernodub , A. S. Nedelin

We extend our previous study of magnetic monopole currents in the maximally Abelian gauge [hep-lat/9712003] to larger lattices at small lattice spacings (20^4 at beta = 2.5 and 32^4 at beta = 2.5115). We confirm that at these weak couplings…

High Energy Physics - Lattice · Physics 2009-10-31 A. Hart , M. Teper

The spacial distribution of fields and currents in confining theories can give direct evidence of dual superconductivity. We would like to discuss the techniques for finding these properties and calculating the superconductivity parameters…

High Energy Physics - Lattice · Physics 2016-11-03 Richard W. Haymaker

In the maximally Abelian gauge of SU(2), the clusters of monopole current are found to divide into two distinct classes. The largest cluster permeates the lattice, has a density that scales and produces the string tension. The remaining…

High Energy Physics - Lattice · Physics 2009-10-30 A. Hart , M. Teper

We reexamine the dual Abrikosov vortex under the requirement that the lattice averages of the fields satisfy exact Maxwell equations [ME]. The electric ME accounts for the total flux and the magnetic ME determines the shape of the confining…

High Energy Physics - Lattice · Physics 2009-11-10 Takayuki Matsuki , Richard W. Haymaker

We show that the monopole currents which one obtains in the maximally Abelian gauge of SU(2) fall into two quite distinct classes (when the volume is large enough). In each field configuration there is precisely one cluster that permeates…

High Energy Physics - Lattice · Physics 2016-08-25 A. Hart , M. Teper

We reconsider the properties of the $Q\bar{Q}$ flux tube within Abelian-projected SU(2) lattice gauge theory in terms of electric field and monopole current. In the maximal Abelian gauge we assess the influence of the Gribov copies on the…

High Energy Physics - Lattice · Physics 2009-11-07 Y. Koma , M. Koma , T. Suzuki , E. -M. Ilgenfritz , M. I. Polikarpov

We study monopoles and vortices in SU(2) lattice gauge theory on a 24**4 lattice at beta=2.50. We find a value of fundamental string tension from monopoles in the maximum Abelian gauge consistent with the full SU(2) value. Using direct and…

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

We study various representations of infrared effective theory of SU(2) gluodynamics starting from the Abelian monopole action derived recently by numerical calculations in the Maximal Abelian projection. In particular we derive the string…

High Energy Physics - Lattice · Physics 2007-05-23 Maxim N. Chernodub , Seikou Kato , Naoki Nakamura , Mikhail I. Polikarpov , Tsuneo Suzuki

We find that Polyakov lines, computed in abelian-projected SU(2) lattice gauge theory in the confined phase, have finite expectation values for lines corresponding to two units of the abelian electric charge. This means that the…

High Energy Physics - Lattice · Physics 2016-09-01 J. Ambjorn , J. Giedt , J. Greensite

We study decomposition of $SU(2)$ gauge field into monopole and monopoleless components. After fixing the Maximal Abelian gauge in $SU(2)$ lattice gauge theory we decompose the nonabelian gauge field into the Abelian field created by…

High Energy Physics - Lattice · Physics 2022-04-13 V. G. Bornyakov , I. Kudrov , R. N. Rogalyov

We consider the N=1* supersymmetric SU(2) gauge theory and demonstrate that the Z_2 vortices in this theory acquire orientational zero modes, associated with the rotation of magnetic flux inside SU(2) group, and turn into the non-Abelian…

High Energy Physics - Theory · Physics 2010-05-27 V. Markov , A. Marshakov , A. Yung

We study the mechanism of confinement via formation of Abrikosov-Nielsen-Olesen vortices on the Higgs branch of N=2 supersymmetric SU(2) gauge theory with massive fundamental matter. Higgs branch represents a limiting case of superconductor…

High Energy Physics - Theory · Physics 2010-05-27 Alexei Yung

Representations of the Abelian-projected SU(2)- and SU(3)-gluodynamics in terms of the magnetic monopole currents are derived. Besides the quadratic part, the obtained effective actions contain interactions of these currents with the…

High Energy Physics - Theory · Physics 2010-05-27 Dmitri Antonov , Dietmar Ebert

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
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