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Related papers: Topology in SU(2) Yang-Mills theory

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We determine the topological susceptibility \chi at T=0 and its behaviour at finite T across the deconfining transition in pure SU(2) gauge theory. We use an improved topological charge density operator. \chi goes to zero above T_c, but…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo

We determine the topological susceptibility $\chi$ at T=0 in pure SU(3) gauge theory and its behaviour at finite $T$ across the deconfining transition. We use an improved topological charge density operator. $\chi$ drops sharply by one…

High Energy Physics - Lattice · Physics 2008-11-26 B. Allés , M. D'Elia , A. Di Giacomo

We present a measurement of the topological susceptibility in SU(3) Yang-Mills theory through the deconfinement phase transition. An improved operator is used for the topological charge density. A drop by an order of magnitude is observed…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo

The renormalization functions involved in the determination of the topological susceptibility in the SU(2) lattice gauge theory are extracted by direct measurements, without relying on perturbation theory. The determination exploits the…

High Energy Physics - Lattice · Physics 2009-10-22 Bartomeu Alles , Massimo Campostrini , Adriano Di Giacomo , Yigit Gunduc , Ettore Vicari

The topological susceptibility is calculated within the Hamiltonian approach to Yang-Mills theory in Coulomb gauge, using the vacuum wave functional previously determined by a variational solution of the Yang-Mills Schroedinger equation.…

High Energy Physics - Theory · Physics 2008-11-26 Davide R. Campagnari , Hugo Reinhardt

We construct and study a dimensionally reduced effective theory for high-temperature SU(2) Yang-Mills theory that respects all the symmetries of the underlying theory. Our main motivation is to study, whether the correct treatment of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ph. de Forcrand , A. Kurkela , A. Vuorinen

SU(2) Yang-Mills theory at finite extension or, equivalently, at finite temperature is probed by a homogeneous chromomagnetic field. We use a recent modified axial gauge formulation which has the novel feature of respecting the center…

High Energy Physics - Phenomenology · Physics 2009-10-30 V. L. Eletsky , A. C. Kalloniatis , F. Lenz , M. Thies

In this paper we study, by means of numerical simulations, the topological properties of $SU(3)$ and $SU(4)$ trace deformed Yang-Mills theory defined on $ \mathbb{R}^3\times S^1$, in which center symmetry is recovered even at small…

High Energy Physics - Lattice · Physics 2019-12-30 Claudio Bonati , Marco Cardinali , Massimo D'Elia , Fabrizio Mazziotti

It is shown that the renormalized finite temperature effective potential for continuum $SU(2)$ Yang-Mills theory develops a non-perturbative minimum for sufficiently strong coupling, i.e. below a critical temperature. The corresponding…

High Energy Physics - Theory · Physics 2022-02-23 K. Sailer , W. Greiner

We present an overview on nonperturbative thermodynamics in the deconfining phase of an SU(2) Yang-Mills theory. In a unique effective theory the maximal resolution of trivial-topology fluctuations is constrained by coarse-grained,…

High Energy Physics - Theory · Physics 2017-08-23 Ralf Hofmann

The first order transition between the confining and the center symmetry breaking phases of the SU(3) Yang-Mills theory is marked by discontinuities in various thermodynamics functions, such as the energy density or the value of the…

High Energy Physics - Lattice · Physics 2023-04-12 Sz. Borsanyi , Z. Fodor , D. A. Godzieba , R. Kara , P. Parotto , D. Sexty , R. Vig

In the first part of this talk we review some prerequisites for and essential arguments involved in the construction of the thermal-ground-state estimate for the deconfining phase in the thermodynamics of SU(2) Quantum Yang-Mills theory and…

General Physics · Physics 2018-11-27 Ralf Hofmann

We use a cooling algorithm based on an improved action with scale invariant instanton solutions, which needs no monitoring or calibration and has a inherent cut off for dislocations. We present results for SU(2) Yang-Mills theory where the…

High Energy Physics - Lattice · Physics 2016-09-01 Philippe de Forcrand , Margarita Garcia Perez , Ion-Olimpiu Stamatescu

We survey recent lattice results on QCD topological properties. The behaviour of the topological susceptibility at the deconfining phase transition has been determined. This advance has been made possible by an i) an improvement of the…

High Energy Physics - Lattice · Physics 2007-05-23 B. Alles , G. Boyd , M. D'Elia , A. Di Giacomo

The topological charge is constructed for SU(3) center vortex world-surfaces composed of elementary squares on a hypercubic lattice. In distinction to the SU(2) case investigated previously, it is necessary to devise a proper treatment of…

High Energy Physics - Lattice · Physics 2009-08-25 Michael Engelhardt

We summarize recent nonperturbative results obtained for the thermodynamics of an SU(2) and an SU(3) Yang-Mills theory being in its deconfining (electric) phase. Emphasis is put on an explanation of the concepts involved. The presentation…

High Energy Physics - Theory · Physics 2007-05-23 Ralf Hofmann

Phase and modulus of an energy- and pressure-free, composite and adjoint field in an SU(2) Yang-Mills theory are computed. This field is generated by trivial holonomy calorons of topological charge one. It possesses nontrivial $S_1$-winding…

High Energy Physics - Theory · Physics 2007-05-23 Ulrich Herbst

The infrared structure of SU(2) Yang-Mills theory is studied by means of lattice gauge simulations using a new constrained cooling technique. This method reduces the action while all Polyakov lines on the lattice remain unchanged. In…

High Energy Physics - Lattice · Physics 2015-03-17 Kurt Langfeld , Ernst-Michael Ilgenfritz

The adjoint SU(2) lattice gauge theory in 3+1 dimensions with the Wilson plaquette action modified by a Z(2) monopole suppression term is reinvestigated with special emphasis on the existence of a finite-temperature phase transition…

High Energy Physics - Lattice · Physics 2017-08-23 A. Barresi , G. Burgio , M. Muller-Preussker

We present a theoretically consistent definition of the topological charge operator based on renormalization group arguments. Results of the measurement of the topological susceptibility at zero and finite temperature for SU(2) gauge theory…

High Energy Physics - Lattice · Physics 2016-09-01 Thomas A. DeGrand , Anna Hasenfratz , Decai Zhu
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