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The vortex contribution to the $k$-string tensions is computed for SU($N$) gauge theories. We deduce the surface densities needed to reproduce the sine scaling and the Casimir scaling formulae, recently obtained from numerical simulations…

High Energy Physics - Lattice · Physics 2009-11-07 Luigi Del Debbio , Dmitri Diakonov

We develop some techniques which allow an analytic evaluation of space-like observables in high temperature lattice gauge theories. We show that such variables are described extremely well by dimensional reduction. In particular, by using…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , A. D'Adda

We compute hybrid static potentials in SU(2) lattice gauge theory using a multilevel algorithm and three different small lattice spacings. The resulting static potentials, which are valid for quark-antiquark separations as small as 0.05 fm,…

High Energy Physics - Lattice · Physics 2020-08-28 Carolin Riehl , Marc Wagner

$Q\bar{Q}$ potential is studied in the SU(2) gauge theory. Based on the nonlinear gauge of the Curci-Ferrari type, the possibility of a gluon condensation $\langle A_{\mu}^+A_{\mu}^-\rangle$ in low-energy region has been considered at the…

High Energy Physics - Phenomenology · Physics 2021-03-10 Hirohumi Sawayanagi

The potential barrier between source and gate in HEMTs and between source and channel in MOSFET controls the current output and the velocity injection of electrons in the channel [1], [2]. In non self aligned structures the electric field…

Other Condensed Matter · Physics 2007-05-23 S. Russo , A. Di Carlo

We perform a precision computation of hybrid static potentials with quantum numbers $\Lambda_\eta^\epsilon = \Sigma_g^-,\Sigma_u^+,\Sigma_u^-,\Pi_g,\Pi_u,\Delta_g,\Delta_u$ using SU(3) lattice gauge theory. The resulting potentials are used…

High Energy Physics - Lattice · Physics 2019-02-20 Stefano Capitani , Owe Philipsen , Christian Reisinger , Carolin Riehl , Marc Wagner

We show that gauge invariant definition of thin, thick and hybrid center vortices, defined by Kovacs and Tomboulis on SO(3) x Z(2) configurations, can also be defined in SU(2). We make this connection using the freedom of choosing a…

High Energy Physics - Lattice · Physics 2009-11-07 Andrei Alexandru , Richard W. Haymaker

The effective Hamiltonians for chiral supersymmetric gauge theories at small spatial volume are generalizations of the Hamiltonians describing the motion of a scalar or a spinor particle in a field of Dirac monopoles (we are dealing in fact…

High Energy Physics - Theory · Physics 2024-06-25 Andrei Smilga

Recent accurate measurement by G.Bali of static potentials between sources in various SU(3) representations provides a crucial test of the QCD vacuum and of different theoretical approaches to the confinement. In particular, the Casimir…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yu. A. Simonov

We investigate the static interquark potential for the three-quark system in SU(3) lattice gauge theory at zero temperature by using Monte Carlo simulations. We extract the potential from the correlation function of the three Polyakov…

High Energy Physics - Lattice · Physics 2017-06-07 Yoshiaki Koma , Miho Koma

This article provides some estimates for the relative sizes of the electric and magnetic contributions to the energy functional for the minimum energy configuration of an SU(2) gauge field on R^3 in the presence of an source in a fixed…

Mathematical Physics · Physics 2008-11-26 Clifford H. Taubes

The group factor for the higher representations of the $SU(4)$ gauge group is investigated. For the zero N-ality representations, the minimum values of the real part of the group factor which appear at large distances, are located at the…

High Energy Physics - Phenomenology · Physics 2014-02-19 Shahnoosh Rafibakhsh

The static potential in the confinement ``phase'' of the SU(2) Higgs model is studied. In particular, the observation of the screening (called string breaking) of the static quarks by the dynamical light quarks leading to the formation of…

High Energy Physics - Lattice · Physics 2007-05-23 F. Knechtli

The thick center vortex model reproduces important aspects of the potentials between static quark sources as seen in lattice Yang-Mills calculations: Both the intermediate distance behavior, governed by Casimir scaling, as well as the long…

High Energy Physics - Phenomenology · Physics 2010-04-06 Sedigheh Deldar , Shahnoosh Rafibakhsh

We present results for the heavy quark potential computed in SU(3) from magnetic monopoles and from center vortices. The monopoles are identified after fixing SU(3) lattice configurations to the maximal abelian gauge. The center vortices…

High Energy Physics - Lattice · Physics 2009-10-31 Roy Wensley , John Stack

We compute, for the four-dimensional SU(4) and SU(6) gauge theories formulated on a lattice, the string tensions sigma_k related to sources with Z_N charge k, using Monte Carlo simulations. Our results are compatible with sigma_k \propto…

High Energy Physics - Lattice · Physics 2007-05-23 L. Del Debbio , H. Panagopoulos , P. Rossi , E. Vicari

Characters of $E_8\otimes E_8$ and SO(32) heterotic strings involving the full internal symmetry Cartan subalgebra generators are defined after circle compactification so that they are T dual. The novel point, as compared with an earlier…

High Energy Physics - Theory · Physics 2009-10-31 Jean-Loup Gervais

We consider the SO(3) lattice gauge theory at weak coupling, in the Villain action. We exhibit an analytic path in coupling space showing the equivalence of the SO(3) theory with SU(2) summed over all twist sectors. This clarifies the…

High Energy Physics - Lattice · Physics 2007-05-23 Ph. de Forcrand , O. Jahn

To help understand the centre dominance picture of confinement, we look at Wilson loop distributions in pure SU(2) lattice gauge theory. A strong coupling approximation for the distribution is developed to use for comparisons. We perform a…

High Energy Physics - Lattice · Physics 2009-10-31 P. W. Stephenson

We perform lattice calculations of the spatial 't Hooft k-string tensions in the deconfined phase of SU(N) gauge theories for N=2,3,4,6. These equal (up to a factor of T) the surface tensions of the domain walls between the corresponding…

High Energy Physics - Lattice · Physics 2009-11-11 Francis Bursa , Michael Teper