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We study the phase structure of full QCD within the canonical ensemble with respect to triality in a lattice formulation. The procedure for the calculation of the effective potentials in this case is given. As an example we consider the…

High Energy Physics - Lattice · Physics 2008-11-26 O. Borisenko , M. Faber , G. Zinovjev

We determine the 2-loop effective gauge coupling of QCD at high temperatures, defined as a matching coefficient appearing in the dimensionally reduced effective field theory. The result allows to improve on one of the classic…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Laine , Y. Schroder

Confinement is a paradigmatic phenomenon of gauge theories, and its understanding lies at the forefront of high-energy physics. Here, we study confinement in a simple one-dimensional $\mathbb{Z}_2$ lattice gauge theory at finite temperature…

Quantum Gases · Physics 2025-09-23 Matjaž Kebrič , Jad C. Halimeh , Ulrich Schollwöck , Fabian Grusdt

We study the behavior of the order parameter, the phase diagram, and the thermodynamics of exotic phases of finite temperature gauge theory. Lattice simulations were performed in SU(3) and SU(4) with an adjoint Polyakov loop term added to…

High Energy Physics - Lattice · Physics 2008-11-26 Joyce C. Myers , Michael C. Ogilvie

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 show that exotic phases arise in generalized lattice gauge theories known as quantum link models in which classical gauge fields are replaced by quantum operators. While these quantum models with discrete variables have a…

High Energy Physics - Lattice · Physics 2013-11-14 D. Banerjee , P. Widmer , F. -J. Jiang , U. -J. Wiese

We present results of a detailed investigation of the temperature dependence of the spatial string tension in SU(2) gauge theory. We show, for the first time, that the spatial string tension is scaling on the lattice and thus is…

High Energy Physics - Lattice · Physics 2009-07-09 G. S. Bali , J. Fingberg , U. M. Heller , F. Karsch , K. Schilling

The three-dimensional U(1) gauge theory displays a peculiar form of confinement which does not fit in the standard paradigm of effective string theory. In this work, we report results of numerical computations of the ground state energy of…

High Energy Physics - Lattice · Physics 2025-09-30 M. Caselle , A. Mariani

We show how the theory of the critical behaviour of $d$-dimensional polymer networks of arbitrary topology can be generalized to the case of networks confined by hyperplanes. This in particular encompasses the case of a single polymer chain…

Mathematical Physics · Physics 2020-08-26 Bertrand Duplantier , Anthony J Guttmann

We simulate five different systems belonging to the universality class of the gauge dual of three-dimensional random percolation to study the underlying effective string theory at finite temperature. All the data for the finite temperature…

High Energy Physics - Lattice · Physics 2009-03-24 Pietro Giudice , Ferdinando Gliozzi , Stefano Lottini

We consider deconfined matter in SU(N) gauge theory as an ideal gas of transversely polarized quasi-particle modes having a temperature-dependent mass m(T). Just above the transition temperature, the mass is assumed to be determined by the…

High Energy Physics - Phenomenology · Physics 2015-03-17 Paolo Castorina , David E. Miller , Helmut Satz

The dually transformed path integral of four-dimensional U(1) lattice gauge theory is used for the calculation of expectation values in the presence of external charges. Applying the dual simulation to flux tubes for charge distances up to…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Zach , Manfried Faber , Peter Skala

We study the thermal phase diagram of pure SU(3) lattice 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…

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

String breaking is an intriguing phenomenon crucial to the understanding of lattice gauge theories (LGTs), with strong relevance to both condensed matter and high-energy physics (HEP). Recent experiments investigating string breaking in…

Quantum Physics · Physics 2025-01-31 Umberto Borla , Jesse J. Osborne , Sergej Moroz , Jad C. Halimeh

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

An effective spin model for the finite temperature non-abelian lattice gauge theory is derived. The outcome is the surprising result that only nearest neighbor coupling survives, thus confirming the well known numerical results that the…

High Energy Physics - Lattice · Physics 2007-05-23 Z. K. Zhu , D. H Feng

This is a numerical study of quasiparticle localization in symmetry class \textit{BD} (realized, for example, in chiral \textit{p}-wave superconductors), by means of a staggered-fermion lattice model for two-dimensional Dirac fermions with…

Mesoscale and Nanoscale Physics · Physics 2015-03-14 M. V. Medvedyeva , J. Tworzydło , C. W. J. Beenakker

The entropy of entanglement between a three-dimensional slab of thickness l and its complement is studied numerically for four-dimensional SU(2) lattice gauge theory. We find a signature of a nonanalytic behavior of the entanglement…

High Energy Physics - Lattice · Physics 2008-11-26 P. V. Buividovich , M. I. Polikarpov

We present a precision determination of the critical coupling beta_c for the deconfinement transition in pure SU(2) gauge theory in 2+1 dimensions. This is possible from universality, by intersecting the center vortex free energy as a…

High Energy Physics - Lattice · Physics 2009-11-16 Sam Edwards , Lorenz von Smekal

We study the confinement between vortex strings in the dual lattice gauge theory of the abelian Higgs model. The dual lattice gauge theory is described by a 2-form gauge field. We calculate the string-antistring potential from the surface…

High Energy Physics - Lattice · Physics 2019-12-30 Tomoya Hayata , Arata Yamamoto