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Related papers: Violation of Casimir Scaling for Static QCD Potent…

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Potentials between static colour sources in eight different representations are computed in four dimensional SU(3) gauge theory. The simulations have been performed with the Wilson action on anisotropic lattices where the renormalised…

High Energy Physics - Lattice · Physics 2009-10-31 Gunnar S. Bali

We compute the four-loop $n_f$ contribution proportional to the quartic Casimir of the QCD cusp anomalous dimension as an expansion for small cusp angle $\phi$. This piece is gauge invariant, violates Casimir scaling, and first appears at…

High Energy Physics - Phenomenology · Physics 2017-10-17 Andrey Grozin , Johannes Henn , Maximilian Stahlhofen

Results of lattice analysis indicate that the static potential in SU(3) gauge theory is proportional to eigenvalue of quadratic Casimir operator for the corresponding representation with a good accuracy. We discuss the mechanism of possible…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Shevchenko

By employing the multilevel algorithm in numerical Monte Carlo simulations, we evaluate the static potential in four dimensional SU(2) lattice gauge theory with no dynamical fermions, for static sources in the j=1/2,1,3/2 representations.…

High Energy Physics - Lattice · Physics 2009-11-11 Carlo Piccioni

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

Recent lattice calculations have confirmed that QCD static potential for sources in different representations of the gauge group is proportional to eigenvalue of the corresponding quadratic Casimir operator with an accuracy of a few…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Shevchenko , Yu. A. Simonov

We study the potential energy between static charges in G(2) gluodynamics in three and four dimensions. Our work is based on an efficient local hybrid Monte-Carlo algorithm and a multi-level L\"uscher-Weisz algorithm with exponential error…

High Energy Physics - Lattice · Physics 2011-02-25 Bjoern H. Wellegehausen , Andreas Wipf , Christian Wozar

Potentials between static quarks and antiquarks from a few lowest representations were evaluated in numerical simulations of 4-dimensional pure G$_2$ lattice gauge theory at various couplings. The obtained potentials are linearly rising at…

High Energy Physics - Lattice · Physics 2010-02-17 L. Liptak , S. Olejnik

A lattice calculation shows that the Casimir scaling hypothesis is well verified in QCD, that is to say that the potential between two opposite color charges in a color singlet is proportional to the value of the quadratic Casimir operator.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Claude Semay

The potentials between static sources in various representaions in SU(3) are calculated based on the fat-center-vortices model of Faber, Greensite and Olejnik. At intermediate distances, most distributions of the flux within vortices lead…

High Energy Physics - Phenomenology · Physics 2010-02-03 Sedigheh Deldar

The potentials and string tensions between static sources in a variety of representations (fundamental, 8, 6, 15-antisymmetric, 10, 27 and 15-symmetric) have been computed by measuring Wilson loops in pure gauge SU(3). The simulations have…

High Energy Physics - Lattice · Physics 2009-10-31 Sedigheh Deldar

We argue that the approximate ``Casimir scaling'' of the string tensions of higher-representation Wilson loops is an effect due to the finite thickness of center vortex configurations. It is shown, in the context of a simple model of the…

High Energy Physics - Lattice · Physics 2008-11-26 M. Faber , J. Greensite , S. Olejnik

We study the thermodynamic Casimir force for films in the three-dimensional Ising universality class with symmetry breaking boundary conditions. We focus on the effect of corrections to scaling and probe numerically the universality of our…

Statistical Mechanics · Physics 2012-05-21 Martin Hasenbusch

Violation of the Lorentz symmetry has important effects on physical quantities including field propagators. Therefore, in addition to the leading order, the sub-leading order of quantities may be modified. In this paper, we calculate the…

High Energy Physics - Theory · Physics 2019-03-04 Amirhosein Mojavezi , Reza Moazzemi , Mohammad Ebrahim Zomorrodian

In this study, we consider the four-dimensional Maxwell electrodynamics extended with CPT-even Myers-Pospelov Lorentz-violating dimension-six operators to investigate the associated two-dimensional properties in the context of quantum…

High Energy Physics - Theory · Physics 2024-04-18 K. E. L. de Farias , M. A. Anacleto , F. A. Brito , E. Passos , Herondy Mota

Recent accurate measurements of static potentials between sources in various representations of the gauge group SU(3) performed by G.Bali provide a crucial test of the QCD vacuum models and different approaches to confinement. The Casimir…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. I. Shevchenko , Yu. A. Simonov

Potentials between two static sources in various representations of the SU(3) gauge group are determined on anisotropic 3+1 dimensional lattices. Strong evidence in favour of "Casimir scaling" is found.

High Energy Physics - Lattice · Physics 2015-06-25 Gunnar S. Bali

In a previous paper we found that the isospin susceptibility of the O($n$) sigma-model calculated in the standard rotator approximation differs from the next-to-next to leading order chiral perturbation theory result in terms vanishing like…

High Energy Physics - Theory · Physics 2018-06-13 Ferenc Niedermayer , Peter Weisz

$\mathrm{O}(N)$ vector models in three dimensions, when defined in a geometry with a compact direction and tuned to criticality, exhibit long-range fluctuations which induce a Casimir effect. The strength of the resulting interaction is…

Statistical Mechanics · Physics 2025-12-23 Andrea Bulgarelli , Michele Caselle , Alessandro Nada , Marco Panero

Delving into spring-like helical configurations, such as DNA within our cells, motivates physicists to inquire about the effects of such structures in the realm of quantum field theory, specifically unraveling their manifestation of…

High Energy Physics - Theory · Physics 2024-08-14 M. A. Valuyan
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