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Related papers: Calorons in SU(3) lattice gauge theory

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We discuss Kraan - van Baal - Lee - Lu (KvBLL) solutions of the classical Yang-Mills equations with temperature in the context of SU(3) lattice gauge theory. We present discretized lattice versions of KvBLL solutions and other dyonic…

Finite temperature Euclidean SU(2) lattice gauge fields generated in the confinement phase close to the deconfinement phase transition are subjected to cooling. The aim is to identify long-living, almost-classical local excitations which…

High Energy Physics - Lattice · Physics 2009-11-07 E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker , S. Shcheredin , A. I. Veselov

We discuss recent solutions for SU(2) calorons with non-trivial holonomy at higher charge, both through analytic means and using cooling, as well as extensive lattice studies for SU(3).

High Energy Physics - Lattice · Physics 2009-11-10 Falk Bruckmann , E. M. Ilgenfritz , B. V. Martemyanov , M. Muller-Preussker , Daniel Nogradi , Dirk Peschka , Pierre van Baal

We study SU(2) lattice gauge theory at $T>0$ in a finite box with fixed holonomy value at the spatial boundary. We search for (approximate) classical solutions of the lattice field equations and find in particular the dissociated calorons…

High Energy Physics - Lattice · Physics 2009-10-31 E. -M. Ilgenfritz , B. Martemyanov , M. Müller-Preussker , A. I. Veselov

In equilibrium, at finite temperature below and above the deconfining phase transition, we have generated lattice SU(2) gauge fields and have exposed them to smearing in order to investigate the emerging clusters of topological charge.…

High Energy Physics - Lattice · Physics 2009-11-11 E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker , A. I. Veselov

Instantons in pure Yang-Mills theories on partially periodic space $\mathbb{R}^3\times S^1$ are usually called calorons. The background periodicity brings on characteristic features of calorons such as non-trivial holonomy, which plays an…

High Energy Physics - Theory · Physics 2018-07-04 T. Kato , A. Nakamula , K. Takesue

We review recent results from studies of the dynamics of classical Yang-Mills fields on a lattice. We discuss the numerical techniques employed in solving the classical lattice Yang-Mills equations in real time, and present results…

Nuclear Theory · Physics 2008-11-26 T. S. Biro , C. Gong , B. Mueller , A. Trayanov

Motivated by the recent high-precision lattice data on Yang-Mills equations of state, we propose an effective theory of SU(3) gluonic matter. The theory is constructed based on the center and scale symmetries and their dynamical breaking,…

High Energy Physics - Phenomenology · Physics 2015-06-16 Chihiro Sasaki , Igor Mishustin , Krzysztof Redlich

We present a novel method for defining the topological charge contained within distinct topological objects in the nontrivial ground-state fields of SU(N) lattice gauge theory. Such an analysis has been called for by the growing number of…

High Energy Physics - Lattice · Physics 2025-04-04 Jackson A. Mickley , Waseem Kamleh , Derek B. Leinweber

With the help of the cooling method applied to SU(2) lattice gauge theory at non-zero $T \le T_c$ we present numerical evidence for the existence of superpositions of Kraan-van Baal caloron (or BPS monopole pair) solutions with non-trivial…

High Energy Physics - Lattice · Physics 2009-11-07 E. -M. Ilgenfritz , B. V. Martemyanov , M. Muller-Preussker , S. Shcheredin , A. I. Veselov

The Euclidean formulation of SU(2) Yang-Mills thermodynamics admits periodic, (anti)selfdual solutions to the fundamental, classical equation of motion which possess one unit of topological charge: (anti)calorons. A spatial coarse graining…

High Energy Physics - Theory · Physics 2016-05-02 Thierry Grandou , Ralf Hofmann

Pure Yang-Mills instantons are considered on S^1 x R^3 -- so-called calorons. The holonomy -- or Polyakov loop around the thermal S^1 at spatial infinity -- is assumed to be a non-centre element of the gauge group SU(n) as most appropriate…

High Energy Physics - Theory · Physics 2007-05-23 Daniel Nogradi

We report the observation of calorons with nontrivial holonomy and fractional topological charge objects in cooled lattice samples derived from SU(2) equilibrium ensembles at $T<T_c$.

High Energy Physics - Lattice · Physics 2017-08-23 E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker , S. Shcheredin , A. I. Veselov

We analyze the zero-modes of the Dirac operator in quenched SU(3) gauge configurations at non-zero temperature and compare periodic and anti-periodic temporal boundary conditions for the fermions. It is demonstrated that for the different…

High Energy Physics - Lattice · Physics 2009-11-07 Christof Gattringer

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

We study the solutions of the Dirac equation in the adjoint representation(gluinos) in the background field of SU(2) unit charge calorons. Our solutions are forced to be antiperiodic in thermal time and would occur naturally in a…

High Energy Physics - Theory · Physics 2008-11-26 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Alfonso Sastre

We couple fermion fields in the adjoint representation (gluinos) to the SU(2) gauge field of unit charge calorons defined on R^3 x S_1. We compute corresponding zero-modes of the Dirac equation. These are relevant in semiclassical studies…

High Energy Physics - Theory · Physics 2009-11-11 Margarita Garcia Perez , Antonio Gonzalez-Arroyo

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

By cooling of equilibrium lattice fields at finite temperature in SU(2) gauge theory it has been shown that topological objects (calorons) observed on the lattice in the confined phase possess a dyonic substructure which becomes visible…

High Energy Physics - Lattice · Physics 2009-11-10 E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker , A. I. Veselov

We report on our search for Kraan-van Baal calorons in finite temperature SU(2) lattice ensembles. We also discuss recent progress made in developing a caloron-anticaloron gas model decribing confinement and deconfinement in the context of…

High Energy Physics - Lattice · Physics 2016-09-01 E. -M. Ilgenfritz , P. Gerhold , M. Müller-Preussker , B. V. Martemyanov , A. I. Veselov
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