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Related papers: The Running Coupling from Lattice Gauge Theory

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We present results for the reference scale r_0 in SU(3) Lattice Gauge Theory for beta = 6/g_0^2 in the range 5.7 <= beta <= 6.57. The high relative accuracy of 0.3-0.6% in r_0/a was achieved through good statistics, the application of a…

High Energy Physics - Lattice · Physics 2015-06-25 M. Guagnelli , R. Sommer , H. Wittig

The potential between a static quark and antiquark in pure SU(3) Yang-Mills theory is evaluated non-perturbatively through computations on the lattice in the region from short to intermediate distances (0.05 fm < r < 0.8 fm). In the high…

High Energy Physics - Lattice · Physics 2016-09-01 Silvia Necco

We introduce a hadronic scale $R_0$ through the force $F(r)$ between static quarks at intermediate distances $r$. The definition $F(R_0)R_0^2=1.65$ amounts to $R_0 \simeq 0.5$~fm in phenomenological potential models. Since $R_0$ is well…

High Energy Physics - Lattice · Physics 2010-02-18 R. Sommer

We compute the proper real-time interaction potential between a static quark and antiquark in classical lattice gauge theory at finite temperature. Our central result is the determination of the screened real-part of this potential, and we…

High Energy Physics - Lattice · Physics 2021-07-28 Alexander Lehmann , Alexander Rothkopf

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

We introduce the running coupling constant of QCD in the high temperature phase, $\tilde{g}^2(T)$, through a renormalization scheme where the dimensional reduction is optimal at the one-loop level. We then calculate the relevant scale…

High Energy Physics - Phenomenology · Physics 2010-11-01 Suzhou Huang , Marcello Lissia

We present a measurement of the Schr\"odinger Functional running coupling in SU(2) lattice gauge theory with adjoint fermions. We use HEX smearing and clover improvement to reduce the discretization effects. We obtain a robust continuum…

High Energy Physics - Lattice · Physics 2017-08-23 Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We discuss how to define and obtain the running coupling of a gauge theory in the approach of the Schwinger-Dyson equation, in order to perform a non-perturbative study of the theory. For this purpose, we introduce the nonlocally…

High Energy Physics - Phenomenology · Physics 2009-08-11 Kei-Ichi Kondo

A nonperturbative model for the QCD invariant charge, which contains no low-energy unphysical singularities and possesses an elevated higher loop corrections stability, is developed in the framework of potential approach. The static…

High Energy Physics - Phenomenology · Physics 2011-04-07 Yu. O. Belyakova , A. V. Nesterenko

Interpreting the way that the SU(3) bare lattice coupling runs with the lattice spacing is complicated by the fact that there is a smooth cross-over region in which the strong coupling expansion transforms into a weak-coupling one. For N >…

High Energy Physics - Lattice · Physics 2008-11-26 Chris Allton , Michael Teper , Aurora Trivini

The results for the running of the gauge couplings in the MSSM are up-dated by proper inclusion of all low scale effects. They are presented as predictions for the strong coupling constant in the scenario with only two parameters at the GUT…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. H. Chankowski , Z. Pluciennik , S. Pokorski , C. E. Vayonakis

We measure the evolution of the coupling constant using the Schroedinger functional method in the lattice formulation of SU(2) gauge theory with two massless Dirac fermions in the adjoint representation. We observe strong evidence for an…

High Energy Physics - Lattice · Physics 2013-05-29 Ari J. Hietanen , Kari Rummukainen , Kimmo Tuominen

Scenario according to which the SU(2)-gluodynamics is a theory with a nontrivial fixed point is analyzed from the point of view of the modern Monte-Carlo (MC) lattice data. It is found that an assumption of the first order fixed point g=g_f…

High Energy Physics - Lattice · Physics 2007-05-23 O. Borisenko , M. Gorenstein , A. Kostyuk

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

We compute the running QCD coupling on the lattice by evaluating two-point and three-point off-shell gluon Green's functions in a fixed gauge and imposing non-perturbative renormalisation conditions on them. Our exploratory study is…

High Energy Physics - Lattice · Physics 2009-03-09 B. Alles , D. S. Henty , H. Panagopoulos , C. Parrinello , C. Pittori , D. G. Richards

We study the heavy charge potential in the Coulomb phase of pure gauge compact U(1) theory on the lattice. We calculate the static potential $V_W(T,{\vec R})$ from Wilson loops on a $16^3 \times 32$ lattice and compare with the predictions…

High Energy Physics - Lattice · Physics 2009-10-30 G. Cella , U. M. Heller , V. K. Mitrjushkin , A. Vicere

The interquark potential is constructed by making use of the new analytic running coupling in QCD. This running coupling arises under ``analytization'' of the renormalization group equation. The rising behavior of the interquark potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko

In models with large additional dimensions, the GUT scale can be lowered to values accessible by future colliders. Due to modification of the loop corrections from particles propagating into the extra dimensions, the logarithmic running of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sabine Hossenfelder

Using generalized Landau gauge, we study the continuous change of gluon properties from the Landau gauge toward the Coulomb gauge in SU(3) lattice QCD. We investigate "instantaneous interquark potential", which is defined by the spatial…

High Energy Physics - Lattice · Physics 2011-03-18 Takumi Iritani , Hideo Suganuma

The electroweak gauge symmetry is allowed to be spontaneously broken by the strongly interacting vector-like gauge dynamics. When the gauge coupling of a theory runs slowly in a wide range of energy scale, the theory is a candidate for…

High Energy Physics - Lattice · Physics 2010-03-18 N. Yamada , M. Hayakawa , K. -I. Ishikawa , Y. Osaki , S. Takeda , S. Uno