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Related papers: The colour adjoint static potential from Wilson lo…

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We study the structure of soft gluon corrections to multi-leg scattering amplitudes in a non-Abelian gauge theory by analysing the corresponding product of semi-infinite Wilson lines. We prove that diagrams exponentiate such that the colour…

High Energy Physics - Phenomenology · Physics 2015-10-23 Einan Gardi , Jennifer M. Smillie , Chris D. White

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

We compute hybrid static potentials in SU(3) lattice gauge theory. We present a method to generate a large set of suitable creation operators with defined quantum numbers from elementary building blocks. We show preliminary results for…

High Energy Physics - Lattice · Physics 2018-04-18 Christian Reisinger , Stefano Capitani , Owe Philipsen , Marc Wagner

We study the dual Wilson loop and the inter-monopole potential(the static potential between the color magnetic monopoles) in the maximally abelian gauge to clarify the dual Higgs mechanism induced by monopole condensation. There is no…

High Energy Physics - Lattice · Physics 2007-05-23 Atsunori Tanaka , Hideo Suganuma

The theory of Wilson loops for gauge theories with unitary gauge groups is formulated in the language of symmetric functions. The main objects in this theory are two generating functions, which are related to each other by the involution…

High Energy Physics - Theory · Physics 2019-11-20 Wolfgang Mück

We present the analysis of the static potential extracted from Wilson loops measured on CLS ensembles generated with Wilson gauge action and Nf=2 flavors of O(a) improved Wilson quarks at three different lattice spacings and a range of…

High Energy Physics - Lattice · Physics 2012-02-14 Francesco Knechtli , Björn Leder

We computed potentials between static color sources from the six lowest representations of G(2) lattice gauge theory, in numerical simulations with the Wilson action on asymmetric lattices with nonperturbatively estimated values of the bare…

High Energy Physics - Lattice · Physics 2008-11-26 L. Liptak , S. Olejnik

We present results of numerical simulations for pure U(1) gauge theory in a non-commutative space. The theory is mapped onto a dimensionally reduced matrix model, which renders its numerical treatment feasible. New data on large lattices…

High Energy Physics - Lattice · Physics 2007-05-23 J. Volkholz , W. Bietenholz , J. Nishimura , Y. Susaki

We write the SU(2) lattice gauge theory Hamiltonian in (d+1) dimensions in terms of prepotentials which are the SU(2) fundamental doublets of harmonic oscillators. The Hamiltonian in terms of prepotentials has $SU(2) \otimes U(1)$ local…

High Energy Physics - Lattice · Physics 2009-11-10 Manu Mathur

We investigate in some detail consequences of the effective colour-dielectric formulation of lattice gauge theory using the light-cone Hamiltonian formalism with a transverse lattice. As a quantitative test of this approach, we have…

High Energy Physics - Phenomenology · Physics 2016-08-25 S. Dalley , B. van de Sande

We discuss the lattice formulation of gauge theories with fermions in arbitrary representations of the color group, and present in detail the implementation of the HMC/RHMC algorithm for simulating dynamical fermions. We discuss the…

High Energy Physics - Lattice · Physics 2014-11-18 Luigi Del Debbio , Agostino Patella , Claudio Pica

We calculate the static Wilson loop from string/gauge correspondence to obtain the $Q\bar Q$ potential in non-relativistic quantum field theory, i.e. CFT with Galilean symmetry. We analyze the convexity conditions \cite{bachas} for $Q\bar…

High Energy Physics - Theory · Physics 2015-05-28 Haryanto M. Siahaan

Certain properties of maximal abelian projection are derived which suggest that the fundamental and adjoint SU(2) string tensions are reproduced by singly and doubly charged abelian Wilson loops, respectively. Thus, abelian dominance, which…

High Energy Physics - Lattice · Physics 2014-11-17 Grigorios I. Poulis

Using product integrals we review the unambiguous mathematical representation of Wilson line and Wilson loop operators, including their behavior under gauge transformations and the non-abelian Stokes theorem. Interesting consistency…

High Energy Physics - Theory · Physics 2009-11-07 Robert L Karp

A first attempt to understand hadron dynamics at low energies in terms of the fundamental quark and gluon degrees of freedom incorporates the effects of the gluonic field into a potential depending only on the spatial positions of the…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. T. A. Lang , J. E. Paton , A. M. Green

A convincing, uncontroversial observation of string breaking, when the static potential is extracted from Wilson loops only, is still missing. This failure can be understood if the overlap of the Wilson loop with the broken string is…

High Energy Physics - Lattice · Physics 2009-11-07 Slavo Kratochvila , Philippe de Forcrand

The static color-Coulomb potential is calculated as the solution of a non-linear integral equation. This equation has been derived recently as a self-consistency condition which arises in the Coulomb Hamiltonian formulation of lattice gauge…

High Energy Physics - Theory · Physics 2009-10-30 Attilio Cucchieri , Daniel Zwanziger

String breaking by dynamical quarks in (2+1)-d lattice QCD is demonstrated in this project, by measuring the static potential and the local color-electric field strength between a heavy quark and antiquark pair at large separations.…

High Energy Physics - Lattice · Physics 2009-11-07 Howard D. Trottier , Kit Yan Wong

We calculate Wilson loops of various sizes up to 20 loops in SU(3) pure lattice gauge theory at different lattice sizes for Wilson gauge action using the technique of numerical stochastic perturbation theory. This allows us to investigate…

High Energy Physics - Lattice · Physics 2013-05-30 R. Horsley , G. Hotzel , E. -M. Ilgenfritz , R. Millo , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

A generalization of Wilsonian lattice gauge theory may be obtained by considering the possible self-adjoint extensions of the electric field operator in the Hamiltonian formalism. In the special case of 3D $\mathrm{U}(1)$ gauge theory these…

High Energy Physics - Lattice · Physics 2022-11-28 A. Banerjee , D. Banerjee , G. Kanwar , A. Mariani , T. Rindlisbacher , U. J. Wiese