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Related papers: Subvolume method for SU(2) Yang-Mills theory at fi…

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We present an exploratory study to determine the confinement-deconfinement transition temperature at finite $\theta$, $T_c(\theta)$, for the 4d \SU(2) pure Yang-Mills theory. Lattice numerical simulations are performed on three spatial…

High Energy Physics - Lattice · Physics 2025-02-04 Norikazu Yamada , Masahito Yamazaki , Ryuichiro Kitano

We propose a subvolume method to study the $\theta$ dependence of the free energy density of the four-dimensional SU($N$) Yang-Mills theory on the lattice. As an attempt, the method is first applied to SU(2) Yang-Mills theory at…

High Energy Physics - Lattice · Physics 2021-10-07 Ryuichiro Kitano , Ryutaro Matsudo , Norikazu Yamada , Masahito Yamazaki

We investigate the topological properties of the $SU(3)$ pure gauge theory by performing numerical simulations at imaginary values of the $\theta$ parameter. By monitoring the dependence of various cumulants of the topological charge…

High Energy Physics - Lattice · Physics 2016-01-28 Claudio Bonati , Massimo D'Elia , Aurora Scapellato

The phase diagram on the $\theta$-$T$ plane in four dimensional SU(3) Yang-Mills theory is explored. We revisit the $\theta$ dependence of the deconfinement transition temperature, $T_c(\theta)$, on the lattice through the constraint…

High Energy Physics - Lattice · Physics 2022-06-29 Noriaki Otake , Norikazu Yamada

In this paper we investigate, by means of numerical lattice simulations, the topological properties of the trace deformed $SU(3)$ Yang-Mills theory defined on $S_1\times\mathbb{R}^3$. More precisely, we evaluate the topological…

High Energy Physics - Lattice · Physics 2018-10-09 Claudio Bonati , Marco Cardinali , Massimo D'Elia

Using the low energy effective action of the N=2 supersymmetric SU(2) Yang-Mills theory we calculate the free energy at finite temperature, both in the semiclassical region and in the dual monopole/dyon theory. In all regions the free…

High Energy Physics - Theory · Physics 2009-10-31 J. Wirstam

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 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 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

New results on the topology of the SU(2) Yang-Mills theory are presented. At zero temperature we obtain the value of the topological susceptibility by using the recently introduced smeared operators as well as a properly renormalized…

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

We study $\theta$ dependence of the vacuum energy for the 4d SU(2) pure Yang-Mills theory by lattice numerical simulations. The response of topological excitations to the smearing procedure is investigated in detail, in order to extract…

High Energy Physics - Lattice · Physics 2021-02-24 Ryuichiro Kitano , Norikazu Yamada , Masahito Yamazaki

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

In order to deepen our understanding of the nature of the deconfinement phase transition for various gauge groups, we investigate SU(4) Yang-Mills theory in 2+1 dimensions. We find that the transition is weakly first order. We perform…

High Energy Physics - Lattice · Physics 2008-11-26 Kieran Holland , Michele Pepe , Uwe-Jens Wiese

We determine the theta dependence of the deconfinement temperature of SU(3) pure gauge theory, finding that it decreases in presence of a topological theta term. We do that by performing lattice simulations at imaginary theta, then…

High Energy Physics - Lattice · Physics 2013-05-30 Massimo D'Elia , Francesco Negro

We present a high-precision study of the topological susceptibility in $SU(3)$ pure gauge theory in four space-time dimensions. The result is based on ensembles at seven lattice spacings and in seven physical volumes to facilitate a…

High Energy Physics - Lattice · Physics 2026-04-17 Stephan Durr , Gianluca Fuwa

We investigate the thermal properties of $\mathrm{SU}(3)$ Yang-Mills theory across the deconfinement phase transition considering the framework of shifted boundary conditions in the temporal direction. By measuring the entropy density…

High Energy Physics - Lattice · Physics 2025-02-07 Leonardo Giusti , Mitsuaki Hirasawa , Michele Pepe , Luca Virzì

We perform a detailed computation of key quantities across the first-order deconfinement phase transition of the SU(3) Yang-Mills theory. Specifically, we calculate the entropy density, $s(T_c)/T_c^3$, on both sides of the transition and…

High Energy Physics - Lattice · Physics 2025-01-28 Leonardo Giusti , Mitsuaki Hirasawa , Michele Pepe , Luca Virzì

Recently, it has been conjectured that deconfining phase transition in SU(N_c) pure Yang-Mills theories is continuously connected to a quantum phase transition in softly broken N=1 super Yang-Mills on R^{1,2}*S^1. We exploit this conjecture…

High Energy Physics - Theory · Physics 2013-10-30 Mohamed M. Anber

We study the topological charge distribution of the SU(3) Yang--Mills theory with high precision in order to be able to detect deviations from Gaussianity. The computation is carried out on the lattice with high statistics Monte Carlo…

High Energy Physics - Lattice · Physics 2015-10-12 Marco Cè , Cristian Consonni , Georg P. Engel , Leonardo Giusti

Euclidean strong coupling expansion of the partition function is applied to lattice Yang-Mills theory at finite temperature, i.e. for lattices with a compactified temporal direction. The expansions have a finite radius of convergence and…

High Energy Physics - Lattice · Physics 2010-12-23 J. Langelage , G. Münster , O. Philipsen
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