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The variational Hamiltonian approach to QCD in Coulomb gauge is reviewed and the essential results obtained in recent years are summarized. First the results for the vacuum sector are discussed, with a special emphasis on the mechansim of…

High Energy Physics - Theory · Physics 2016-11-23 H. Reinhardt , D. Campagnari , J. Heffner , M. Quandt , P. Vastag

After a short exposition of field correlators in the QCD vacuum and the recently discovered Casimir scaling phenomenon, the origin of confinement in QCD is discussed and two possible mechanisms are suggested, which can be checked by new…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. A. Simonov

We develop some techniques which allow an analytic evaluation of space-like observables in high temperature lattice gauge theories. We show that such variables are described extremely well by dimensional reduction. In particular, by using…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , A. D'Adda

We review recent results on the phase structure of QCD and bulk QCD thermodynamics. In particular we discuss how universal critical scaling related to spontaneous breaking of the chiral symmetry manifests itself in recent lattice QCD…

High Energy Physics - Lattice · Physics 2017-10-11 Christian Schmidt , Sayantan Sharma

We investigate the deconfining phase transition in SU(3) pure gauge theory and in full QCD with two flavors of staggered fermions by means of a gauge invariant thermal partition functional. In the pure gauge case our finite size scaling…

High Energy Physics - Lattice · Physics 2008-11-26 P. Cea , L. Cosmai , M. D'Elia

We argue that quiver gauge theories with $SU(N)$ gauge groups give rise to lattice gauge theories with matter possessing fractonic properties, where the lattice is the quiver itself. This idea extends a recent proposal by Razamat. This…

High Energy Physics - Theory · Physics 2022-06-29 Sebastian Franco , Diego Rodriguez-Gomez

We present results from numerical lattice calculations of SU(4) Yang-Mills theory. This work has two goals: to determine the order of the finite temperature deconfinement transition on an $N_t = 6$ lattice and to study the string tensions…

High Energy Physics - Lattice · Physics 2009-10-31 Matthew Wingate , Shigemi Ohta

The ${\rm SU}(3)$ pure gauge theory exhibits a first-order thermal deconfinement transition due to spontaneous breaking of its global $Z_3$ center symmetry. When heavy dynamical quarks are added, this symmetry is broken explicitly and the…

High Energy Physics - Lattice · Physics 2021-01-25 Francesca Cuteri , Owe Philipsen , Alena Schön , Alessandro Sciarra

We propose a novel quasiparticle interpretation of the equation of state of deconfined QCD at finite temperature. Using appropriate thermal masses, we introduce a phenomenological parametrization of the onset of confinement in the vicinity…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. A. Schneider , W. Weise

We use an effective matrix model to study deconfinement in a pure SU(Nc) gauge theory, without quarks, in d=2+1 dimensions. Expanding about a constant background A0 field we construct an effective potential for the eigenvalues of the…

High Energy Physics - Phenomenology · Physics 2014-04-23 Pedro Bicudo , Robert D. Pisarski , Elina Seel

We analyze the vacuum structure of SU(2) lattice gauge theories in D=2,3,4, concentrating on the stability of 't Hooft loops. High precision calculations have been performed in D=3; similar results hold also for D=4 and D=2. We discuss the…

High Energy Physics - Lattice · Physics 2013-11-19 Giuseppe Burgio

We report on the computation of the critical point of the deconfinement phase transition, critical indices and the string tension in the compact three dimensional U(1) lattice gauge theory at finite temperatures. The critical indices govern…

High Energy Physics - Lattice · Physics 2014-11-20 Oleg Borisenko , Roberto Fiore , Mario Gravina , Alessandro Papa

We consider a SU(2) lattice gauge theory on the square lattice, with a single fundamental complex fermion and a single fundamental complex boson on each lattice site. Projective symmetries of the gauge-charged fermions are chosen so that…

Strongly Correlated Electrons · Physics 2024-07-03 Maine Christos , Henry Shackleton , Subir Sachdev , Zhu-Xi Luo

Effective theories for the thermal Wilson line are constructed in an SU(N) gauge theory at nonzero temperature. I propose that the order of the deconfining phase transition for Z(N) Wilson lines is governed by the behavior of SU(N) Wilson…

High Energy Physics - Phenomenology · Physics 2009-12-30 Robert D. Pisarski

We calculate the energy gap (latent heat) and pressure gap between the hot and cold phases of the SU(3) gauge theory at the first order deconfining phase transition point. We perform simulations around the phase transition point with the…

High Energy Physics - Lattice · Physics 2016-07-27 Mizuki Shirogane , Shinji Ejiri , Ryo Iwami , Kazuyuki Kanaya , Masakiyo Kitazawa

The order and the nature of the finite-temperature phase transition of QCD with two flavors of dynamical quarks is investigated. An analysis of the critical exponent of the specific heat is performed through finite-size and finite-mass…

High Energy Physics - Lattice · Physics 2008-11-26 J. M. Carmona , M. D'Elia , L. Del Debbio , A. Di Giacomo , B. Lucini , G. Paffuti , C. Pica

We measure the running of the $SU(\infty)$ 't Hooft coupling by performing a step scaling analysis of the Twisted Eguchi-Kawai (TEK) model, the SU($N$) gauge theory on a single site lattice with twisted boundary conditions. The computation…

High Energy Physics - Lattice · Physics 2014-12-03 Margarita García Pérez , Antonio González-Arroyo , Liam Keegan , Masanori Okawa

The pattern of isentropes in the vicinity of a first-order phase transition is proposed as a key for a sub-classification. While the confinement--deconfinement transition, conjectured to set in beyond a critical end point in the QCD phase…

High Energy Physics - Phenomenology · Physics 2016-05-25 Falk Wunderlich , Roman Yaresko , Burkhard Kampfer

I begin these three lectures by describing some of the useful things that we have learned about large-N gauge theories using lattice simulations. For example that the theory is confining in that limit, that for many quantities SU(3) is…

High Energy Physics - Lattice · Physics 2013-06-11 Michael Teper

We study the confining and deconfining phases of pure $\mathrm{SU}(3)$ lattice gauge theory with topological data analysis. This provides unique insights into long range correlations of field configurations across the…

High Energy Physics - Lattice · Physics 2025-07-02 Daniel Spitz , Julian M. Urban , Jan M. Pawlowski
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