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We consider SU(N) gauge theories on a two dimensional torus with finite area, $A$. Let $T_\mu(A)$ denote the Polyakov loop operator in the $\mu$ direction. Starting from the lattice gauge theory on the torus, we derive a formula for the…

High Energy Physics - Theory · Physics 2014-04-23 Joe Kiskis , Rajamani Narayanan , Dibakar Sigdel

We evaluate Polyakov loops and string tension in two-dimensional QED with both massless and massive $N$-flavor fermions at zero and finite temperature. External charges, or external electric fields, induce phases in fermion masses and shift…

High Energy Physics - Theory · Physics 2009-10-30 Ramon Rodriguez , Yutaka Hosotani

This paper discusses some results on semiclassical string configurations lying in the IR sector of supergravity backgrounds dual to confining gauge theories. On the gauge theory side, the string states we analyse correspond to Wilson loops,…

High Energy Physics - Theory · Physics 2009-11-11 Luca Martucci

We study confining strings in ${\cal{N}}=1$ supersymmetric $SU(N_c)$ Yang-Mills theory in the semiclassical regime on $\mathbb{R}^{1,2} \times \mathbb{S}^1$. Static quarks are expected to be confined by double strings composed of two domain…

High Energy Physics - Theory · Physics 2021-01-13 Mathew W. Bub , Erich Poppitz , Samuel S. Y. Wong

We present a major update on the spectrum of closed flux tubes in $D=3+1$ $SU(N)$ gauge theories. We measure the excitation spectrum of confining strings wound around a spatial dimension of a size $R$. We do so for the $SU(N)$ Yang-Mills…

High Energy Physics - Theory · Physics 2025-12-17 Andreas Athenodorou , Sergei Dubovsky , Conghuan Luo , Michael Teper

We show that, within the framework of suitably chosen approximate effective actions it is possible to evaluate analytically the string tension, the spacelike string tension and the deconfinement temperature of (2+1) dimensional lattice…

High Energy Physics - Lattice · Physics 2009-10-28 M. Caselle

Confining strings and RG flow at finite temperature are investigated in the (2+1)-dimensional Georgi-Glashow model. This is done in the limit when the electric coupling constant is much larger than the square root of mass of the Higgs…

High Energy Physics - Theory · Physics 2010-02-03 Nikita Agasian , Dmitri Antonov

Three-quark potentials are studied in great details in the three-dimensional $SU(3)$ pure gauge theory at finite temperature, for the cases of static sources in the fundamental and adjoint representations. For this purpose, the…

High Energy Physics - Lattice · Physics 2019-02-20 O. Borisenko , V. Chelnokov , Emanuele Mendicelli , Alessandro Papa

The thermodynamics of the $SU(4)$ gauge theory with a single flavor of fundamental quarks is analyzed on the lattice with dynamical fermion simulations, which is the low-energy sector of a realistic, strongly-interacting dark matter model…

We consider the $SU(2)$ gauge theory with $N_f=2$ flavors of Dirac fundamental fermions. We study the high-temperature behavior of the spectra of mesons, discretizing the theory on anisotropic lattices, and measuring the two-point…

High Energy Physics - Lattice · Physics 2017-04-26 Jong-Wan Lee , Biagio Lucini , Maurizio Piai

Using finite temperature SU(3) lattice gauge theory in the fixed scale approach we analyze center properties of the local Polyakov loop L(x). We construct spatial clusters of points x where the phase of L(x) is near the same center element…

High Energy Physics - Lattice · Physics 2014-03-26 Gergely Endrodi , Christof Gattringer , Hans-Peter Schadler

We study the spectrum of confining strings in SU(3) pure gauge theory, by means of lattice Monte Carlo simulations, using torelon operators in different representations of the gauge group. Our results provide direct evidence that the string…

High Energy Physics - Lattice · Physics 2009-11-10 Luigi Del Debbio , Haralambos Panagopoulos , Ettore Vicari

We study the long-range behavior of the heavy quark potential in Coulomb gauge using a quenched SU(3) lattice gauge simulation with partial-length Polyakov line correlators. We show that the Coulomb heavy quark potential associated with the…

High Energy Physics - Lattice · Physics 2014-11-17 A. Nakamura , T. Saito

In order to come closer to a realistic model of high-energy collisions, we simulate SU(2) lattice gauge theory under fluctuating temperature. The fluctuations are Euler-Gamma distributed, leading to a canonical state maximizing the Renyi…

High Energy Physics - Lattice · Physics 2011-05-11 Tamas S. Biro , Z. Schram

We consider "Orientifold field theories", namely SU(N) gauge theories with Dirac fermions in the two-index representation at high temperature. When N is even these theories exhibit a spontaneously broken Z2 centre symmetry. We study aspects…

High Energy Physics - Theory · Physics 2010-12-09 Adi Armoni , Chris P. Korthals Altes , Agostino Patella

We study $Z_N$ symmetry in $SU(N)$ gauge theories in the presence of matter fields in the fundamental representation, by restricting the lattice partition function integration to matter fields which are uniform in spatial directions and…

High Energy Physics - Lattice · Physics 2022-06-01 Minati Biswal , Sanatan Digal , Vinod Mamale , Sabiar Shaikh

Potentials between static quarks and antiquarks from a few lowest representations were evaluated in numerical simulations of 4-dimensional pure G$_2$ lattice gauge theory at various couplings. The obtained potentials are linearly rising at…

High Energy Physics - Lattice · Physics 2010-02-17 L. Liptak , S. Olejnik

We computed potentials between static color sources from the six lowest representations of G(2) lattice gauge theory, in numerical simulations with the Wilson action on asymmetric lattices with nonperturbatively estimated values of the bare…

High Energy Physics - Lattice · Physics 2008-11-26 L. Liptak , S. Olejnik

We present a numerical study of the spectrum of an asymptotically non-free $SU(2)$ gauge theory with $N_f=24$ massive fermion flavors. For such large number of flavors, asymptotic freedom is lost and the massless theory is governed by a…

High Energy Physics - Lattice · Physics 2022-09-02 Jarno Rantaharju , Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami , Kimmo Tuominen

We investigate the implications of Nambu-Goto (NG), L\"uscher-Weisz (LW) and Polyakov-Kleinert (PK) string actions for the Casimir energy of the QCD flux-tube at one and two loop order at finite temperature. We perform our numerical study…

High Energy Physics - Lattice · Physics 2020-02-28 A. S. Bakry , M. A. Deliyergiyev , A. A. Galal , M. Khalil William