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A detailed investigation of finite size effects is performed for SU(2) gauge theory with two fermions in the adjoint representation, which previous lattice studies have shown to be inside the conformal window. The system is investigated…

High Energy Physics - Lattice · Physics 2016-03-23 L. Del Debbio , B. Lucini , A. Patella , C. Pica , A. Rago

We compute gluelump masses and mass differences using SU(3) lattice gauge theory. We study states with total angular momentum up to $J = 3$, parity $P = +,-$ and charge conjugation $C = +,-$. Computations on four ensembles with rather fine…

High Energy Physics - Lattice · Physics 2024-09-19 Jannis Herr , Carolin Schlosser , Marc Wagner

We present a calculation of Wilson loops, and the static inter-quark potential to $O(\alpha^2)$ in lattice perturbation theory. This is carried out with the Wilson, Symanzik-Weisz, and Iwasaki gauge actions and the Wilson,…

High Energy Physics - Lattice · Physics 2015-06-25 Peter Boyle , Gunnar S Bali

We calculate the one loop effective potential for a 5D SU(2) gauge field theory at finite temperature $T=1/\beta$ and radius R=1/M. This calculation is performed, for the first time, in the case of background fields with two constant…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. Farakos , P. Pasipoularides

Center projection of SU(2) lattice gauge theory allows to isolate magnetic vortices as confining configurations. The vortex density scales according to the renormalization group, implying that the vortices are physical objects rather than…

High Energy Physics - Lattice · Physics 2009-10-31 M. Engelhardt , K. Langfeld , H. Reinhardt , O. Tennert

Wilson loops have been measured at strong coupling, $\beta=0.5$, on a $12^4$ lattice in a noncompact simulation of pure SU(2) in which random compact gauge transformations impose a kind of lattice gauge invariance. The Wilson loops suggest…

High Energy Physics - Lattice · Physics 2009-10-22 Kevin Cahill

We analyze plane waves in a model of quantum mechanics in a three dimensional noncommutative (NC) space $R^3_{\lambda}$. Signature features of NC models are impossibility of probing distances smaller than a certain length scale {\lambda}…

Quantum Physics · Physics 2016-03-02 Samuel Kováčik , Peter Prešnajder

Using vacuum domain structure model, trivial static potentials in various representations of $F_4$, $E_6$ and $G_2$ exceptional groups are calculated by means of the unit center element. Due to the absence of the non-trivial center…

High Energy Physics - Theory · Physics 2018-03-28 Amir Shahlaei , Shahnoosh Rafibakhsh

It is shown that $SO(3)$ lattice gauge theory on finite size lattices has metastable states related to the ground states of both the bulk transition and the finite temperature transition. The Polyakov line variable in the adjoint…

High Energy Physics - Lattice · Physics 2007-05-23 Srinath Cheluvaraja , H. S. Sharathchandra

The quantum fluctuations of the flux tube joining two static sources in the confining phase of a lattice gauge theory are described by an effective string theory. The predictions of the latter for ratios of Wilson loops of equal perimeter…

High Energy Physics - Lattice · Physics 2009-10-28 P. Provero

We calculate the potential between adjoint sources in $SU(2)$ pure gauge theory in three dimensions. We investigate whether the potential saturates at large separations due to the creation of a pair of gluelumps, colour-singlet states…

High Energy Physics - Lattice · Physics 2009-10-28 Grigorios I. Poulis , Howard D. Trottier

A comprehensive analysis of tadpole-improved SU(2) lattice gauge theory is made. Simulations are done on isotropic and anisotropic lattices, with and without improvement. Two tadpole renormalization schemes are employed, one using average…

High Energy Physics - Lattice · Physics 2009-10-31 Norman H. Shakespeare , Howard D. Trottier

We calculate the energy gap (latent heat) and pressure gap between the hot and cold phases of the SU(3) gauge theory at the first order deconfining phase transition point. We perform simulations around the phase transition point with the…

We calculate the potential between ``quarks'' which are in the adjoint representation of SU(2) color in the three-dimensional lattice theory. We work in the scaling region of the theory and at large quark separations $R$. We also calculate…

High Energy Physics - Lattice · Physics 2016-09-01 Grigorios I. Poulis , Howard D. Trottier

Using a three-level algorithm we perform a high-precision lattice computation of the static force up to 1fm in the 2+1 dimensional SU(5) gauge theory. Discretization errors and the continuum limit are discussed in detail. By comparison with…

High Energy Physics - Lattice · Physics 2008-11-26 Harvey B. Meyer

The static potential in the 3d SU(2) Higgs model is computed by a variational calculation employing Wilson loops and two-meson operators. String breaking is demonstrated numerically, the breaking scale is determined and the results are…

High Energy Physics - Lattice · Physics 2009-10-31 O. Philipsen , H. Wittig

We calculate the low-lying spectra of glueballs and confining flux tubes in the U(1) lattice gauge theory in 2+1 dimensions. We see that up to modest lattice spacing corrections, the glueball states are consistent with being multiparticle…

High Energy Physics - Lattice · Physics 2019-01-30 Andreas Athenodorou , Michael Teper

We investigate the scaling behaviour of gauge-ball masses and static potential in the pure U(1) lattice gauge theory on toroidal lattices. An extended gauge field action $-\sum_P(\beta \cos\Theta_P + \gamma \cos2\Theta_P)$ is used with…

High Energy Physics - Lattice · Physics 2009-10-30 J. Cox , W. Franzki , J. Jersak , C. B. Lang , T. Neuhaus , A. Seyfried , P. W. Stephenson

The spin-dependent corrections to the static inter-quark potential are phenomenologically relevant to describing the fine and hyperfine spin splitting of the heavy quarkonium spectra. We investigate these corrections, which are represented…

High Energy Physics - Lattice · Physics 2008-11-26 Yoshiaki Koma , Miho Koma

We give an update on our ongoing investigations of potentials between pairs of static-light mesons in Nf=2 Lattice QCD, in different spin and isospin channels. The question of attraction and repulsion is particularly interesting with…

High Energy Physics - Lattice · Physics 2011-11-10 Gunnar Bali , Martin Hetzenegger