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The vacuum expectation value of an operator carrying magnetic charge is studied numerically for temperatures above the deconfinement temperature in SU(2) and SU(3) gauge theory. By analyzing its finite size behaviour, this is found to be…

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

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 study the behaviour of the spatial and temporal 't Hooft loop at zero and finite temperature in the 4D SU(2) Yang-Mills theory, using a new numerical method. In the deconfined phase $T>T_c$, the spatial 't Hooft loop exhibits a dual…

High Energy Physics - Lattice · Physics 2009-10-31 Ph. de Forcrand , M. D'Elia , M. Pepe

We measure the free energies in SU(2) of static fundamental charges and center monopoles. Dual to temporal center fluxes, the former provide a well-defined (dis)order parameter for deconfinement. In contrast, the monopole free energies…

High Energy Physics - Lattice · Physics 2009-11-07 Lorenz von Smekal , with Philippe de Forcrand

The deconfinement transition in SU(4) lattice gauge theory is studied on N_s^3 X N_t lattices with N_s = 8-16 and N_t = 4-8 using a modified Wilson action which is expected to have no bulk transitions. The peak of susceptibility \chi_{|L|}…

High Energy Physics - Lattice · Physics 2007-05-23 Rajiv V. Gavai

A random vortex world-surface model for the infrared sector of SU(4) Yang-Mills theory is constructed, focusing on the confinement properties and the behavior at the deconfinement phase transition. Although the corresponding data from…

High Energy Physics - Lattice · Physics 2009-11-11 Michael Engelhardt

The Z(N) center symmetry plays an important role in the deconfinement phase transition of SU(N) Yang-Mills theory at finite temperature. The exceptional group G(2) is the smallest simply connected gauge group with a trivial center. Hence,…

High Energy Physics - Lattice · Physics 2008-11-26 M. Pepe , U. -J. Wiese

At one-loop accuracy we compute, characterize, and discuss the dispersion laws for the three low-momentum branches of propagating longitudinal, electric U(1) fields in the effective theory for the deconfining phase of pure SU(2) Yang-Mills…

High Energy Physics - Theory · Physics 2012-11-09 Carlos Falquez , Ralf Hofmann , Tilo Baumbach

Using the twisted partition function on R^3 x S^1, we argue that the deconfinement phase transition in pure Yang-Mills theory for all simple gauge groups is continuously connected to a quantum phase transition that can be studied in a…

High Energy Physics - Theory · Physics 2015-06-12 Erich Poppitz , Thomas Schaefer , Mithat Unsal

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

Yang-Mills theories undergo a deconfining phase transition at a critical temperature. In lattice calculations the temporal Wilson loop and Z_3 order parameter show above this temperature a behavior typical of deconfinement. A quantity of…

High Energy Physics - Phenomenology · Physics 2017-08-23 Axel Maas , Burghard Grueter , Reinhard Alkofer , Jochen Wambach

A definition of the Pontryagin index for SU(2) center vortex world-surfaces composed of plaquettes on a hypercubic lattice is constructed. It is used to evaluate the topological susceptibility in a previously defined random surface model…

High Energy Physics - Lattice · Physics 2009-10-31 Michael Engelhardt

We derive the $T\overline{T}$-perturbed version of two-dimensional $q$-deformed Yang-Mills theory on an arbitrary Riemann surface by coupling the unperturbed theory in the first order formalism to Jackiw-Teitelboim gravity. We show that the…

High Energy Physics - Theory · Physics 2024-03-05 Leonardo Santilli , Richard J. Szabo , Miguel Tierz

The conditions leading to a nontrivial renormalization of the topological charge in four--dimensional Yang--Mills theory are discussed. It is shown that if the topological term is regarded as the limit of a certain nontopological…

High Energy Physics - Theory · Physics 2009-10-30 M. Reuter

For the deconfining phase of SU(2) Yang-Mills thermodynamics and for high temperatures we point out that a linear dependence on temperature of a one-loop selfconsistently resummed thermal correction to the pressure and the energy density…

High Energy Physics - Theory · Physics 2010-11-29 Carlos Falquez , Ralf Hofmann , Tilo Baumbach

We calculate the continuum value of the deconfining temperature in units of the string tension for SU(4), SU(6) and SU(8) gauge theories, and we recalculate its value for SU(2) and SU(3). We find that the $N$-dependence for $2 \leq N \leq…

High Energy Physics - Lattice · Physics 2009-11-10 Biagio Lucini , Michael Teper , Urs Wenger

We observe a strong correlation between the decrease in the number of action density peaks in SU(2) Yang-Mills configurations with cooling and that of the string tension. The nature and distribution of these peaks is investigated. The…

High Energy Physics - Lattice · Physics 2008-11-26 A. Gonzalez-Arroyo , A. Montero

We study the finite-temperature phase structure of the four-dimensional ${\rm SU(2)}$ adjoint Higgs model, focusing on a possible deconfinement-Higgs continuity: the conjecture that the high-temperature deconfined phase of Yang-Mills theory…

High Energy Physics - Theory · Physics 2025-10-20 Yui Hayashi , Masashi Kawahira , Hiromasa Watanabe

A construction of a gravity dual to a physical gauge theory requires confronting data. We establish a proof-of-concept for precision holography, i.e., the explicit reconstruction of the dual background metric functions directly from the…

High Energy Physics - Theory · Physics 2023-12-29 Niko Jokela , Arttu Pönni , Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami

The decoupling strategy allows one to obtain the value of the strong coupling in QCD from the running in pure gauge. Here we present our strategy to determine the running in the $SU(3)$ Yang-Mills theory. We use a finite-volume scheme with…

High Energy Physics - Lattice · Physics 2026-04-01 Isabella Leone Zimmel , Alberto Ramos