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Lattice studies of gauge theories with symplectic gauge groups provide valuable information about gauge dynamics, and complement the results of lattice investigations focused on unitary gauge groups. These theories play a central role in…

We analyse the meson spectrum in quenched QCD using lattice gauge theory. By studying hadron propagation with a variety of operators (both smeared and local), we are able to extract the ground state and first excited state masses with…

High Energy Physics - Lattice · Physics 2008-11-26 P. Lacock , C. Michael

We propose a scalable analog quantum simulator for quantum electrodynamics (QED) in two spatial dimensions. The setup for the U(1) lattice gauge field theory employs inter-species spin-changing collisions in an ultra-cold atomic mixture…

Quantum Gases · Physics 2021-09-29 Robert Ott , Torsten V. Zache , Fred Jendrzejewski , Jürgen Berges

The strong interaction between quarks inside hadrons in curved spacetime is investigated in the presence of a new non-abelian gauge potential based on the $SU(3)$ group. This potential presented both chromo-electric and chromo-magnetic…

High Energy Physics - Phenomenology · Physics 2025-08-08 Abdellah Touati , Soufiane Boukhalfa

We consider a 2+1-dimensional SU(N) lattice gauge theory in an axial gauge with the link field U in the 1-direction set to one. The term in the Hamiltonian containing the square of the electric field in the 1-direction is non-local. Despite…

High Energy Physics - Lattice · Physics 2009-11-11 Peter Orland

We study, by numerical simulations on a lattice, the behaviour of the gauge-invariant quark-antiquark nonlocal condensates in the QCD vacuum with dynamical fermions. A determination is also done in the quenched approximation and the results…

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

The effect of cooling on a number of observables is calculated in SU(2) lattice gauge theory. The static quark-antiquark potential and spin-dependent interactions are studied, and the topological charge is monitored. The chiral symmetry…

High Energy Physics - Lattice · Physics 2010-11-01 Howard D. Trottier , R. M. Woloshyn

A full non-perturbative treatment of gauge theories requires to include matter fields on equal footing with the gauge fields. Scalar matter can act as a role model for generic matter, as many questions, e.g. confinement, can be posed…

High Energy Physics - Lattice · Physics 2011-09-06 Axel Maas

Quark confinement is perhaps the most important emergent property of the theory of quantum chromodynamics. Herein we review some key aspects of centre vortices in SU(3) lattice gauge theory. Starting from the original Monte Carlo gauge…

High Energy Physics - Lattice · Physics 2022-04-12 Waseem Kamleh , James Biddle , Derek B. Leinweber , Finn M. Stokes

We describe quenched spectroscopy in SU(2) gauge theory using smoothed gauge field configurations. We investigate the properties of quarks moving in instanton background field configurations, where the sizes and locations of the instantons…

High Energy Physics - Lattice · Physics 2009-10-30 Thomas DeGrand , Anna Hasenfratz , Tamas G. Kovacs

We compute the masses of the $\pi$ and of the $\rho$ mesons in the quenched approximation on a lattice with fixed lattice spacing $a \simeq 0.145 \ \mathrm{fm}$ for SU($N$) gauge theory with $N = 2,3,4,6$. We find that a simple linear…

High Energy Physics - Theory · Physics 2009-12-10 Luigi Del Debbio , Biagio Lucini , Agostino Patella , Claudio Pica

We describe our recent lattice study of SU(4) gauge theory with fermions in the fundamental and sextet representations. In this theory, a new type of baryon consists of quarks in both representations. The spectrum of these "chimera baryons"…

High Energy Physics - Lattice · Physics 2016-10-21 Thomas A. DeGrand , Daniel Hackett , William I. Jay , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky

We study the validity of the large-N equivalence between four-dimensional SU(N) lattice gauge theory and its momentum quenched version -- the Quenched Eguchi-Kawai (QEK) model. We have found strong evidence that this equivalence does not…

High Energy Physics - Lattice · Physics 2010-01-21 Barak Bringoltz , Stephen R. Sharpe

We show how to simulate U(1) gauge fields coupled to three-dimensional quantum gravity and then examine the phase diagram of this system. Quenched mean field theory suggests that a transition separates confined and deconfined phases (for…

High Energy Physics - Lattice · Physics 2009-10-22 Ray L. Renken , Simon M. Catterall , John B. Kogut

Yang-Mills theories with a gauge group SU(N_c\=3)and quark matter in the fundamental representation share many properties with the theory of strong interactions, QCD with N_c=3. We show that, for N_c even and in the confinement phase, the…

High Energy Physics - Lattice · Physics 2014-11-20 Kurt Langfeld , Bjoern H. Wellegehausen , Andreas Wipf

3d lattice studies have recently attracted a lot of attention, especially in connection with finite temperature field theories. One ingredient in these studies is a perturbative computation of the 2-loop lattice counterterms, which are…

High Energy Physics - Lattice · Physics 2009-10-30 M. Laine , A. Rajantie

We consider a non-perturbative formulation of an SU(2) massive gauge theory on a space-time lattice, which is also a discretised gauged non-linear chiral model. The lattice model is shown to have an exactly conserved global SU(2) symmetry.…

High Energy Physics - Lattice · Physics 2015-06-17 Michele Della Morte , Pilar Hernandez

We describe an application of the linear $\de$-expansion to the calculation of correlation functions in SU(2)-Higgs lattice gauge theory. A significant advantage of the technique is that an infinite volume lattice may be used, allowing the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. S. Evans , H. F. Jones , A. Ritz

We construct lattice gauge theories in which the elements of the link matrices are represented by non-commuting operators acting in a Hilbert space. These quantum link models are related to ordinary lattice gauge theories in the same way as…

High Energy Physics - Lattice · Physics 2015-06-25 S. Chandrasekharan , U. -J. Wiese

The spectral properties of the Wilson-Dirac operator in 2-dimensional QED responsible for the appearance of exceptional configurations in quenched simulations are studied in detail. The mass singularity structure of the quenched functional…

High Energy Physics - Lattice · Physics 2009-10-30 W. Bardeen , A. Duncan , E. Eichten , H. Thacker