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Related papers: Percolation and Deconfinement in SU(2) Gauge Theor…

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The deconfinement transition in SU(2) gauge theory and the magnetization transition in the Ising model belong to the same universality class. The critical behaviour of the Ising model can be characterized either as spontaneous breaking of…

High Energy Physics - Lattice · Physics 2009-10-31 Santo Fortunato , Helmut Satz

The deconfinement transition in SU(2) gauge theory and the magnetization transition in the Ising model belong to the same universality class. The critical behaviour of the Ising model can be characterized either as spontaneous breaking of…

High Energy Physics - Lattice · Physics 2014-11-17 Santo Fortunato , Helmut Satz

Cluster percolation and second order thermal phase transitions show an amazing number of common features: power laws of the variables at criticality, scaling relations of the critical exponents and universality of the critical indices.…

High Energy Physics - Lattice · Physics 2007-05-23 S. Fortunato

The paramagnetic-ferromagnetic transition in the Ising model can be described as percolation of suitably defined clusters. We have tried to extend such picture to the confinement-deconfinement transition of SU(2) pure gauge theory, which is…

High Energy Physics - Lattice · Physics 2009-10-31 S. Fortunato , F. Karsch , P. Petreczky , H. Satz

Effective theories are helpful tools to gain an intuitive insight into phenomena governed by complex laws. In this work we show by means of Monte Carlo simulations that Z(2) spin models with only spin-spin interactions approximate rather…

High Energy Physics - Lattice · Physics 2009-10-31 S. Fortunato , F. Karsch , P. Petreczky , H. Satz

We study the behavior of center sectors in pure SU(4) lattice gauge theory at finite temperature. The center sectors are defined as spatial clusters of neighboring sites with values of their local Polyakov loops near the same center…

High Energy Physics - Lattice · Physics 2012-09-18 Michael Dirnberger , Christof Gattringer , Axel Maas

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

We consider the SU(2) lattice gauge theory at finite temperature in (d+1) dimensions, with different couplings $\beta_t$ and $\beta_s$ for timelike and spacelike plaquettes. By using the character expansion of the Wilson action and…

High Energy Physics - Lattice · Physics 2009-10-28 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

Properties of local Polyakov loops are studied in finite temperature lattice QCD and SU(3) lattice gauge theory. We evaluate local Polyakov loops, identify the closest center element for each loop and investigate cluster properties of these…

High Energy Physics - Lattice · Physics 2011-03-02 Julia Danzer , Christof Gattringer , Szabolcs Borsanyi , Zoltan Fodor

Properties of local Polyakov loops for SU(2) and SU(3) lattice gauge theory at finite temperature are analyzed. We show that spatial clusters can be identified where the local Polyakov loops have values close to the same center element. For…

High Energy Physics - Lattice · Physics 2015-03-17 Christof Gattringer , Alexander Schmidt

For SU(3) lattice gauge theory we study properties of static quark sources represented by local Polyakov loops. We find that for temperatures both below and above T_c coherent domains exist where the phases of the local loops have similar…

High Energy Physics - Lattice · Physics 2014-11-20 Christof Gattringer

The properties of the pure-site clusters of spin models, i.e. the clusters which are obtained by joining nearest-neighbour spins of the same sign, are here investigated. In the Ising model in two dimensions it is known that such clusters…

Statistical Mechanics · Physics 2009-11-07 Santo Fortunato

The vortex theory which emerges from SU(2) lattice gauge theory by center projection is briefly reviewed. In this vortex picture, quark confinement is due to percolating (closed) vortices which are randomly linked to the Wilson loop. The…

High Energy Physics - Lattice · Physics 2007-05-23 Kurt Langfeld

We use gauge/string duality to analytically evaluate the renormalized Polyakov loop in pure Yang-Mills theories. For SU(3), the result is in a quite good agreement with lattice simulations for a broad temperature range.

High Energy Physics - Phenomenology · Physics 2009-06-30 Oleg Andreev

Deconfinement and screening of higher-representation sources in finite-temperature $SU(2)$ lattice gauge theory is investigated by both analytical and numerical means. The effective Polyakov-line action at strong coupling is simulated by an…

High Energy Physics - Lattice · Physics 2009-10-22 P. H. Damgaard , M. Hasenbusch

Three-dimensional bond or site percolation theory on a lattice can be interpreted as a gauge theory in which the Wilson loops are viewed as counters of topological linking with random clusters. Beyond the percolation threshold large Wilson…

Statistical Mechanics · Physics 2008-11-26 F. Gliozzi , S. Lottini , M. Panero , A. Rago

We study the three dimensional fundamental-adjoint $SU(2)$ lattice gauge theory at finite temperature by Monte Carlo simulations. We find that the finite temperature deconfinement phase transition line joins the first order bulk phase…

High Energy Physics - Lattice · Physics 2009-10-22 Rajiv V. Gavai , Michael Grady , Manu Mathur

In the vicinity of the deconfinement transition the behaviour of the interquark potential can be precisely predicted using the Effective String Theory (EST). If the transition is continuous we can combine EST results with a conformal…

High Energy Physics - Lattice · Physics 2022-09-01 F. Caristo , M. Caselle , N. Magnoli , A. Nada , M. Panero , A. Smecca

In an attempt to describe the change of topological structure of pure SU(2) gauge theory near deconfinement a renormalization group inspired method is tested. Instead of cooling, blocking and subsequent inverse blocking is applied to Monte…

High Energy Physics - Lattice · Physics 2009-10-30 M. Feurstein , E. -M. Ilgenfritz , H. Markum , M. Müller-Preussker , S. Thurner

We present our preliminary study of the SU(2) gauge theory with 8 flavors of fermions in fundamental representation. This theory could be a candidate of the gauge theory with conformal fixed point. By using Wilson/Polyakov loop in a finite…

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