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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 consider the position of the deconfining critical endpoint, where the first order transition for deconfinement is washed out by the presence of massive, dynamical quarks. We use an effective matrix model, employed previously to analyze…

High Energy Physics - Phenomenology · Physics 2013-05-30 Kouji Kashiwa , Robert D. Pisarski , Vladimir V. Skokov

We review the current knowledge about the theoretical foundations of the effective string theory for confining flux tubes and the comparison of the predictions to pure gauge lattice data. A concise presentation of the effective string…

High Energy Physics - Theory · Physics 2016-08-24 Bastian B. Brandt , Marco Meineri

We determine the critical couplings and the critical exponents of the finite temperature transition in SU(2) and SU(3) pure gauge theory in (2+1) dimensions. We also measure Wilson loops at $T=0$ on a wide range of $\beta$ values using APE…

High Energy Physics - Lattice · Physics 2009-10-28 J. Engels , F. Karsch , E. Laermann , C. Legeland , M. Lütgemeier , B. Petersson , T. Scheideler

We investigate string configurations in the deconfined phase of SU(3) gauge theory, which arise from the spontaneous breaking of the $Z_3$ center symmetry. These configurations form at the junctions of domain walls of the theory. The…

High Energy Physics - Lattice · Physics 2026-05-04 Sanatan Digal , Vinod Mamale , Sumit Shaw

We consider a lattice gauge theory at finite temperature in ($d$+1) dimensions with the Wilson action and different couplings $\beta_t$ and $\beta_s$ for timelike and spacelike plaquettes. By using the character expansion and…

High Energy Physics - Lattice · Physics 2009-10-28 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

An approach to studying lattice gauge models in the weak coupling region is proposed. Conceptually, it is based on the crucial role of the original Z(N) symmetry and the invariant gauge group measure. As an example, we calculate an…

High Energy Physics - Lattice · Physics 2007-05-23 O. A. Borisenko , V. K. Petrov , G. M. Zinovjev , J. Boháčik

The deconfinement transition in SU(4) lattice gauge theory is investigated on N_s^3 X N_t lattices for N_s = 8-16 and N_t = 4-8 using a modified Wilson action which is expected to be free of any bulk transitions. The susceptibility…

High Energy Physics - Lattice · Physics 2009-11-07 Rajiv V. Gavai

The pressure and the energy density of the $SU(3)$ gauge theory are calculated on lattices with temporal extent $N_\tau = 4$, 6 and 8 and spatial extent $N_\sigma =16$ and 32. The results are then extrapolated to the continuum limit. In the…

High Energy Physics - Lattice · Physics 2009-10-28 G. Boyd , J. Engels , F. Karsch , E. Laermann , C. Legeland , M. Luetgemeier , B. Petersson

We study analytically and numerically the three-dimensional U(1) lattice gauge theory at finite temperature in the dual formulation. For an appropriate disorder operator, we obtain the renormalization group equations describing the critical…

High Energy Physics - Lattice · Physics 2015-07-06 Oleg Borisenko , Volodymyr Chelnokov , Mario Gravina , Alessandro Papa

To study the deconfining phase transition at nonzero temperature, I outline the perturbative construction of an effective theory for straight, thermal Wilson lines. Certain large, time dependent gauge transformations play a central role.…

High Energy Physics - Phenomenology · Physics 2008-10-28 Robert D. Pisarski

Within the confined phase of (2+1)D lattice gauge theories a roughening transition arises between a weakly confined regime with floppy string excitations and a strongly confined regime with stiff string excitations. In this work, we use an…

Strongly Correlated Electrons · Physics 2025-07-22 Wen-Tao Xu , Michael Knap , Frank Pollmann

We point out that the world sheet swept by the confining string in presence of dynamical quarks can belong to two different phases, depending on the number of charge species and the quark masses. When it lies in the normal phase (as opposed…

High Energy Physics - Lattice · Physics 2011-07-19 F. Gliozzi , P. Provero

A three-dimensional effective theory of Polyakov loops has recently been derived from Wilson's Yang-Mills lattice action by means of a strong coupling expansion. It is valid in the confined phase up to the deconfinement phase transition,…

High Energy Physics - Lattice · Physics 2015-06-18 Georg Bergner , Jens Langelage , Owe Philipsen

The 4D compact U(1) gauge theory has a well-established phase transition between a confining and a Coulomb phase. In this paper, we revisit this model using state-of-the-art Monte Carlo simulations on anisotropic lattices. We map out the…

High Energy Physics - Lattice · Physics 2024-04-25 Rafael C. Torres , Nuno Cardoso , Pedro Bicudo , Pedro Ribeiro , Paul McClarty

We compare the predictions of the effective string description of confinement in finite temperature gauge theories to high precision Monte Carlo data for the three-dimensional Z(2) gauge theory. We show that string interaction effects…

High Energy Physics - Lattice · Physics 2009-11-07 M. Caselle , M. Hasenbusch , M. Panero , P. Provero

We construct the integration measure over the moduli space of an arbitrary number of N kinds of dyons of the pure SU(N) gauge theory at finite temperatures. The ensemble of dyons governed by the measure is mathematically described by a…

High Energy Physics - Theory · Physics 2008-11-26 Dmitri Diakonov , Victor Petrov

We study the thermal phase diagram of pure SU(3) gauge theory with fundamental and adjoint couplings. We improve previous estimates of the position of the bulk transition line and determine the thermal deconfinement transition lines for…

High Energy Physics - Lattice · Physics 2008-11-26 T. Blum , Carleton DeTar , Urs M. Heller , Leo Karkkainen , D. Toussaint

String breaking is a central dynamical process in theories featuring confinement, where a string connecting two charges decays at the expense of the creation of new particle-antiparticle pairs. Here, we show that this process can also be…

Statistical Mechanics · Physics 2020-07-23 Roberto Verdel , Fangli Liu , Seth Whitsitt , Alexey V. Gorshkov , Markus Heyl

Using a new type of simulation algorithm for the standard SU(3) lattice gauge theory that yields results with unprecedented precision, we confirm the presence of a $\gamma/r$ correction to the static quark potential at large distances $r$,…

High Energy Physics - Lattice · Physics 2010-02-03 Martin Lüscher , Peter Weisz