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We compute the equation of state in the confining phase of SU(N) Yang-Mills theories with N=2, 3, 4, 5 and 6 colors in 2+1 dimensions, via lattice simulations. At low enough temperatures, the results are accurately described by a gas of…

High Energy Physics - Lattice · Physics 2011-07-05 Michele Caselle , Luca Castagnini , Alessandra Feo , Ferdinando Gliozzi , Marco Panero

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 thermal confinement phase transition (PT) in $SU(N)$ Yang-Mills theory is first-order for $N\geq 3$, with bounce action scaling as $N^2$. Remarkably, lattice data for the action include a small coefficient whose presence likely strongly…

High Energy Physics - Phenomenology · Physics 2026-02-02 Prateek Agrawal , Gaurang Ramakant Kane , Vazha Loladze , John March-Russell

We illustrate some physical application of a lattice formulation of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric SU(2) Yang-Mills theory with a (small) supersymmetry breaking scalar mass. Two aspects, power-like behavior of…

High Energy Physics - Lattice · Physics 2009-02-18 Issaku Kanamori , Hiroshi Suzuki

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

Using gauge-gravity duality, we extend thermodynamic studies and present results for thermal screening masses in strongly coupled N=2* supersymmetric Yang-Mills theory. This non-conformal theory is a mass deformation of maximally…

High Energy Physics - Theory · Physics 2017-09-05 Carlos Hoyos , Steve Paik , Laurence G. Yaffe

In terms of a simple holographic model, we study the absorption cross section and the shear viscosity of a pure Yang-Mills field at low temperature where the system is in the confinement phase. Then we expect that the glueball states are…

High Energy Physics - Theory · Physics 2008-11-26 Iver Brevik , Kazuo Ghoroku

We present a high-precision lattice calculation of the equation of state in the confining phase of SU(2) Yang-Mills theory. We show that the results are described very well by a gas of massive, non-interacting glueballs, provided one…

High Energy Physics - Lattice · Physics 2017-10-31 Michele Caselle , Alessandro Nada , Marco Panero

Yang-Mills theory is studied at finite temperature within the Hamiltonian approach in Coulomb gauge by means of the variational principle using a Gaussian type ansatz for the vacuum wave functional. Temperature is introduced by…

High Energy Physics - Theory · Physics 2015-04-22 J. Heffner , H. Reinhardt

Our aim is to give a self-contained review of recent advances in the analytic description of the deconfinement transition and determination of the deconfinement temperature in lattice QCD at large N. We also include some new results, as for…

High Energy Physics - Theory · Physics 2015-06-26 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

The strongly coupled phase of Yang-Mills plasma with arbitrary gauge group is studied in a $T$-matrix approach. The existence of lowest-lying glueballs, interpreted as bound states of two transverse gluons (quasi-particles in a many-body…

High Energy Physics - Phenomenology · Physics 2013-04-10 G. Lacroix , C. Semay , D. Cabrera , F. Buisseret

For small values of the gauge coupling constant, we compare the densities of the energy of the vacuum and of the order parameter, evaluated in the lattice Monte Carlo simulation and in the perturbative field theory at two loop (Minkowski).…

High Energy Physics - Lattice · Physics 2013-03-08 Daniele Bettinelli , Ruggero Ferrari

A very simple variational approach to pure SU($N$) Yang-Mills theory is proposed, based on the Gaussian effective potential in a linear covariant gauge. The method provides an analytical variational argument for mass generation. The method…

High Energy Physics - Phenomenology · Physics 2018-03-21 Giorgio Comitini , Fabio Siringo

The dual superconductivity is a promising mechanism of quark confinement. In the preceding works, we have given a non-Abelian dual superconductivity picture for quark confinement, and demonstrated the numerical evidences on the lattice. In…

High Energy Physics - Lattice · Physics 2019-08-20 Akihiro Shibata , Seikou Kato , Kei-Ichi Kondo

We discuss the dependence of pure Yang-Mills equation of state on the choice of gauge algebra. In the confined phase, we generalize to an arbitrary simple gauge algebra Meyer's proposal of modelling the Yang-Mills matter by an ideal…

High Energy Physics - Phenomenology · Physics 2011-11-01 Fabien Buisseret , Gwendolyn Lacroix

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 develop a novel cluster expansion for finite-spin lattice systems subject to multi-body quantum -- and, in particular, classical -- interactions. Our approach is based on the use of ``decoupling parameters", advocated by Park [34], which…

Mathematical Physics · Physics 2023-07-21 Nguyen Tong Xuan , Roberto Fernandez

The interest in the thermodynamics of supersymmetric Yang-Mills started after Maldacena proposed the duality between string theory on AdS backgrounds and the large-N limit of SYM theories. One of the motivations to study the thermal…

High Energy Physics - Theory · Physics 2022-03-07 Ubaid Tantary , Qianqian Du , Michael Strickland

A model for the infrared sector of SU(2) Yang-Mills theory, based on magnetic vortices represented by (closed) random surfaces, is presented. The random surfaces, governed by an action penalizing curvature, are investigated using Monte…

High Energy Physics - Theory · Physics 2007-05-23 M. Engelhardt , M. Faber , H. Reinhardt

We investigate the SU(3) Yang Mills theory at small gradient flow time and at short distances. Lattice spacings down to $a=0.015$ fm are simulated with open boundary conditions to allow topology to flow in and out. We study the behaviour of…

High Energy Physics - Lattice · Physics 2018-04-18 Nikolai Husung , Mateusz Koren , Philipp Krah , Rainer Sommer
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