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An analysis of the monopole loop length distribution is performed in Wilson-action SU(2) lattice gauge theory. A pure power law in the inverse length is found, at least for loops of length, $l$, less than the linear lattice size $N$. This…

High Energy Physics - Lattice · Physics 2009-10-31 Michael Grady

The effect of restricting the plaquette ($1\times 1$ Wilson loop) to be greater than a certain cutoff is studied. The action considered is the standard Wilson action with the addition of the plaquette restriction, which does not affect the…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Grady

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

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

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

We study the relation between the instanton distribution and the monopole loop length in the SU(2) gauge theory with the abelian gauge fixing. We measure the monopole current from the multi-instanton ensemble on the $16^4$ lattice using the…

High Energy Physics - Lattice · Physics 2009-10-28 Masahiro Fukushima , Atsunori Tanaka , Shoich Sasaki , Hideo Suganuma , Hiroshi Toki , Dmitri Diakonov

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

An effective monopole action for various extended monopoles is derived from vacuum configurations after abelian projection in the maximally abelian gauge in $SU(2)$ QCD. The action appears to be independent of the lattice volume. Moreover…

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

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

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

The role of monopoles in the deconfinement transition is discussed in the framework of abelian projection in the maximally abelian gauge in $T\neq0$ $SU(2)$ QCD. Only one (or a few near $\beta_c$) long connected monopole loop exists…

High Energy Physics - Lattice · Physics 2017-02-01 Shun-ichi Kitahara , Yoshimi Matsubara , Tsuneo Suzuki

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

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

Gauge problem of monopole dynamics is studied in SU(2) lattice gauge theory. We study first abelian and monopole contributions to the static potential in four smooth gauges, i.e., Laplacian Abelian (LA), Maximally Abelian Wilson Loop (MAWL)…

High Energy Physics - Lattice · Physics 2009-11-07 Shoichi Ito , Shun-ichi Kitahara , Tae Woong Park , Tsuneo Suzuki

Using a tadpole improved SU(2) gluodynamics action, the nonabelian potential and the abelian potential after the abelian projection are computed. Rotational invariance is found restored at coarse lattices both in the nonabelian theory and…

High Energy Physics - Lattice · Physics 2010-11-19 G. I. Poulis

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

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

We study the structure of the isolated static monopoles in the maximal Abelian projection of SU(2) lattice gluodynamics. Our estimation of the monopole radius is $ \approx 0.06 fm$.

High Energy Physics - Lattice · Physics 2009-11-07 V. A. Belavin , M. I. Polikarpov , A. I. Veselov

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

A gauge invariant procedure for extracting combined SO(3)-Z2 monopoles in positive-plaquette SU(2) lattice gauge theory is shown. When these monopoles are eliminated through a constraint, the theory deconfines for all $\beta$ on $12^4$ and…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Grady

We investigate the role of monopoles in the deconfinement transition of finite temperature $SU(2)$ QCD in the maximally abelian gauge. In the confinement phase a long monopole loop exists in each configuration, whereas no long loop exists…

High Energy Physics - Lattice · Physics 2009-10-28 Shun-ichi Kitahara , Yoshimi Matsubara , Tsuneo Suzuki
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