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We compute the static force on the lattice in the quenched case directly through generalized Wilson loops. We modify the Wilson loop by inserting an $E$-field component on one of the temporal Wilson lines. However, chromo-field components…

High Energy Physics - Lattice · Physics 2024-01-17 Julian Mayer-Steudte

A non perturbative finite size scaling technique is used to study a running coupling in lattice Yang-Mills theory coupled to a bosonic Wilson spinor field in the Schr\"odinger functional scheme. This corresponds to two negative flavours.…

High Energy Physics - Lattice · Physics 2015-06-25 Juri Rolf , Ulli Wolff

Using continuum extrapolated lattice data we trace a family of running couplings in three-flavour QCD over a large range of scales from about 4 to 128 GeV. The scale is set by the finite space time volume so that recursive finite size…

High Energy Physics - Lattice · Physics 2018-06-13 Mattia Dalla Brida , Patrick Fritzsch , Tomasz Korzec , Alberto Ramos , Stefan Sint , Rainer Sommer

We study on the lattice the correlator of heavy-quark currents in the vicinity of vanishing momentum. The renormalized charmed quark mass, the renormalized strong coupling constant and gluon condensate can be defined in terms of the…

High Energy Physics - Lattice · Physics 2009-10-28 A. Bochkarev , Ph. de Forcrand

Perturbative expansions of several small Wilson loops are computed through next-to-next-to-leading order in unquenched lattice QCD, from Monte Carlo simulations at weak couplings. This approach provides a much simpler alternative to…

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

The Schrodinger functional is used to define a renormalised coupling for pure SU(4) Yang-Mills theory, with Wilson action and suitably selected boundary conditions on the link field. The coupling, which runs with the size of the lattice, is…

High Energy Physics - Lattice · Physics 2008-11-26 Biagio Lucini , Gregory Moraitis

In 4d lattice simulations of Standard Model like theories, the renormalized gauge coupling in the broken phase can be determined from the prefactor of the Yukawa term in the static potential. We compute the same quantity in terms of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Laine

We present results concerning the non-perturbative evaluation of the ghost-gluon running QCD coupling constant from $N_f=2$ twisted-mass lattice calculations. A novel method for calibrating the lattice spacing, independent of the string…

High Energy Physics - Lattice · Physics 2014-11-21 B. Blossier , Ph. Boucaud , F. De soto , V. Morenas , M. Gravina , O. Pène , J. Rodríguez-Quintero

We present an analysis of the role of the running coupling constant at the intersection of perturbative and nonperturbative QCD. Although the approaches that have been considered so far in these two regimes appear to be complementary to…

High Energy Physics - Phenomenology · Physics 2015-06-15 A. Courtoy , S. Liuti

Non-Abelian gauge theories provide the most accurate description of fundamental interactions, showing remarkable agreement with experimental data in cosmology and particle physics. Highly precise predictions can be made using standard…

Quantum Physics · Physics 2025-12-03 Pierpaolo Fontana , Marc Miranda Riaza , Alessio Celi

We computed the static potential and Wilson loops to $O(\alpha^2)$ in perturbation theory for different lattice quark and gluon actions. In general, we find short distance lattice data to be well described by ``boosted perturbation…

High Energy Physics - Lattice · Physics 2015-06-25 G. S. Bali , P. Boyle , C. T. H. Davies

We use Monte Carlo simulations to obtain an improved lattice measurement of the critical coupling constant [lambda / mu^2]_crit for the continuum (1 + 1)-dimensional (lambda / 4) phi^4 theory. We find that the critical coupling constant…

High Energy Physics - Lattice · Physics 2009-05-12 David Schaich , Will Loinaz

The determination of renormalization factors is of crucial importance in lattice QCD. They relate the observables obtained on the lattice to their measured counterparts in the continuum in a suitable renormalization scheme. Therefore, they…

High Energy Physics - Lattice · Physics 2013-03-28 M. Constantinou , M. Costa , M. Gockeler , R. Horsley , H. Panagopoulos , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

The properties of the new analytic running coupling are investigated at the higher loop levels. The expression for this invariant charge, independent of the normalization point, is obtained by invoking the asymptotic freedom condition. It…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko , I. L. Solovtsov

The determination of the numerical value for the strong coupling constant from tau decays in perturbative QCD is briefly described. Main emphasis is made on the use of the renormalization scheme invariance of the theory for reducing…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Pivovarov

We present O(g^4) calculations of both planar and non-planar Wilson loops for various actions in the presence of sea quarks. In particular, the plaquette, the static potential and the static self energy are calculated to this order for…

High Energy Physics - Lattice · Physics 2007-05-23 Gunnar S. Bali , Peter Boyle

The running coupling and the Kugo-Ojima parameter of the confinement criterion are measured for the quenched SU(3) \beta=6.4, 6.45, 56^4 lattice and the unquenched \beta=5.2, 20^3 x 48 lattice of JLQCD, \beta=2.1, \kappa=0.1357, 0.1382,…

High Energy Physics - Lattice · Physics 2009-11-10 Sadataka Furui , Hideo Nakajima

We compute the running coupling of non-Abelian gauge theories in the Schr\"odinger-functional scheme, by means of non-equilibrium Monte Carlo simulations on the lattice.

High Energy Physics - Lattice · Physics 2020-08-05 Olmo Francesconi , Marco Panero , David Preti

A lattice gauge theory is described by a redundantly large vector space that is subject to local constraints, and can be regarded as the low energy limit of an extended lattice model with a local symmetry. We propose a numerical…

Strongly Correlated Electrons · Physics 2011-04-22 Luca Tagliacozzo , Guifre Vidal

We discuss the dependence of running couplings on the choice of regularization method in a general softly-broken N=1 supersymmetric theory. Regularization by dimensional reduction respects supersymmetry, but standard dimensional…

High Energy Physics - Phenomenology · Physics 2009-10-22 Stephen P. Martin , Michael T. Vaughn