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Related papers: Gauge Problem of Monopole Dynamics in SU(2) Lattic…

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Renormalization group (RG) smoothing is employed on the lattice to investigate and to compare the monopole structure of the SU(2) vacuum as seen in different gauges (maximally Abelian (MAG), Polyakov loop (PG) and Laplacian gauge (LG)).…

High Energy Physics - Lattice · Physics 2009-10-31 E. -M. Ilgenfritz , S. Thurner , H. Markum , M. M"uller-Preussker

We investigate SU(2) lattice gauge theory in four dimensions in the maximally abelian projection. Studying the effects on different lattice sizes we show that the deconfinement transition of the fields and the percolation transition of the…

High Energy Physics - Lattice · Physics 2009-10-30 G. Damm , W. Kerler

Three topics of monopole dynamics in gluodynamics are presented. 1)Gauge (in)dependence of the monopole effective action (S.Ito, T.W.Park, T.Suzuki): Four different abelian projections are studied. MA and Laplacian abelian gauges show…

High Energy Physics - Lattice · Physics 2007-05-23 T. Suzuki , Y. Koma , S. Ito , E. -M. Ilgenfritz , T. W. Park , M. I. Polikarpov , T. Yazawa

Using a renormalization group motivated smoothing technique, we investigate the large scale structure of lattice configurations at finite temperature, concentrating on Abelian monopoles identified in the maximally Abelian, the Laplacian…

High Energy Physics - Lattice · Physics 2007-05-23 S. Thurner , H. Markum , E. -M. Ilgenfritz , M. Müller-Preussker

We investigated the gauge (in)dependence of the confinement mechanism due to monopole condensation in SU(2) lattice QCD by various abelian projections. We found (1) the string tension can be reproduced by monopoles alone also in Polyakov…

High Energy Physics - Lattice · Physics 2009-10-28 Shinji Ejiri , Shun-ichi Kitahara , Yoshimi Matsubara , Tsuyoshi Okude , Tsuneo Suzuki , Koji Yasuta

We investigate the dual superconductor hypothesis in finite-temperature SU(2) lattice gluodynamics in the Spatial Maximal Abelian gauge. This gauge is more physical than the ordinary Maximal Abelian gauge due to absence of non-localities in…

High Energy Physics - Lattice · Physics 2009-10-31 M. N. Chernodub , M. I. Polikarpov , A. I. Veselov

Decomposition of SU(2) gauge field into the monopole and monopoleless components is studied in the Maximal Abelian gauge using Monte-Carlo simulations in lattice SU(2) gluodynamics as well as in two-color QCD with both zero and nonzero…

High Energy Physics - Lattice · Physics 2022-02-16 V. Bornyakov , I. Kudrov , R. Rogalyov

The general problem of obtaining reliable results from gauge-fixing and projection is discussed. It is shown that the usual form of the maximal abelian gauge gives poor results for the string tension in SU(3) lattice gauge theory. A…

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

Violation of non-Abelian Bianchi identity can be regarded as $N^2-1$ Abelian-like monopole currents in the continuum SU(N) QCD. Three Abelian-like monopoles, when defined in SU(2) gluodynamics on the lattice \`{a} la DeGrand-Toussaint, are…

High Energy Physics - Lattice · Physics 2021-01-04 Atsuki Hiraguchi , Katsuya Ishiguro , Tsuneo Suzuki

By numerical calculations we show that the abelian monopole currents are locally correlated with the density of SU(2) lattice action. The correlations are larger by the order of magnitude in the maximal abelian projection than in the…

High Energy Physics - Lattice · Physics 2009-10-30 B. L. G. Bakker , M. N. Chernodub , M. I. Polikarpov

The magnetic monopole in euclidean pure SU(2) gauge theory is investigated using a background field method on the lattice. With Monte Carlo methods we study the mass of the monopole in the full quantum theory. The monopole background under…

High Energy Physics - Lattice · Physics 2009-10-22 J. Smit , A. J. Van Der Sijs

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

We resolve a discrepancy between the SU(2) spacial string tension at finite temperature, and the value obtained by monopoles in the maximum Abelian gauge. Previous work had incorrectly omitted a term due to Dirac sheets. When this term is…

High Energy Physics - Lattice · Physics 2009-10-28 John D. Stack , Roy J. Wensley , Steven D. Neiman

By making use of the Abelian projection method, a dual version of the SU(2)-gluodynamics with manifest monopole-like excitations, arising from the integration over singular gauge transformations, is formulated in the continuum limit. The…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri Antonov , Dietmar Ebert

Maximal Abelian gauge fixing and subsequent Abelian projection of SU(2) lattice gauge theory defines closed trajectories of magnetic monopoles. These trajectories can be interpreted in terms of an effective scalar field theory of the MAG…

High Energy Physics - Lattice · Physics 2016-09-01 Kurt Langfeld , Hugo Reinhardt

We investigate the masses of 0+ and 2+ glueballs in SU(2) lattice gauge theory using abelian projection to the maximum abelian gauge. We calculate glueball masses using both abelian links and monopole operators. Both methods reproduce the…

High Energy Physics - Lattice · Physics 2009-10-31 John D. Stack , Rafal Filipczyk

We consider lattice implementation of the recently proposed gauge invariant definition of the monopole charge. Because of the lattice discretization the algorithm gives rise to specific lattice artifacts and an effective Ising model. The…

High Energy Physics - Lattice · Physics 2007-05-23 F. V. Gubarev

We report on calculations of the heavy quark potential in SU(3) lattice gauge theory. Full SU(3) results are compared to three cases which involve gauge-fixing and projection. All of these start from the maximal abelian gauge (MAG), in its…

High Energy Physics - Lattice · Physics 2015-06-25 John D. Stack , William W. Tucker , Roy J. Wensley

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 describe numerical calculation results for the probability distribution of the value of the monopole creation operator in the SU(2) lattice gluodynamics. We work in the maximal abelian projection. It occurs that at low temperatures,…

High Energy Physics - Lattice · Physics 2009-10-28 M. N. Chernodub , M. I. Polikarpov , A. I. Veselov
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