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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

This talk gives an overview, aimed at non-experts, of the recent progress on the studies of technicolor models on the lattice. Phenomenologically successful technicolor models require walking coupling; thus, an emphasis is put on the…

High Energy Physics - Lattice · Physics 2011-06-15 Kari Rummukainen

We study truncation effects in the SU(3) gauge actions obtained by the Monte Carlo renormalization group method. By measuring the heavy quark potential we find that the truncation effects in the actions coarsen the lattice by 40-50 % from…

High Energy Physics - Lattice · Physics 2010-11-19 T. Takaishi , Ph. de Forcrand

We perform a pilot study of the perturbative renormalization of a Supersymmetric gauge theory with matter fields on the lattice. As a specific example, we consider Supersymmetric ${\cal N}{=}1$ QCD (SQCD). We study the self-energies of all…

High Energy Physics - Lattice · Physics 2018-04-18 Marios Costa , Haralambos Panagopoulos

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

We explore gauge actions for lattice QCD, which are constructed such that the occurrence of small plaquette values is strongly suppressed. By choosing strong bare gauge couplings we arrive at values for the physical lattice spacings of…

High Energy Physics - Lattice · Physics 2009-11-11 W. Bietenholz , K. Jansen , K. -I. Nagai , S. Necco , L. Scorzato , S. Shcheredin

A review of investigations of running couplings using lattice techniques is given. This includes i) studies of the running of particular non-perturbatively defined renormalized couplings in pure gauge theories over a range of energies, and…

High Energy Physics - Lattice · Physics 2009-10-28 Peter Weisz

A continuum extrapolation of static two- and four-quark energies calculated in quenched SU(2) lattice Monte Carlo is carried out based on Sommer's method of setting the scale. The beta-function is obtained as a side product of the…

High Energy Physics - Lattice · Physics 2009-12-30 Petrus Pennanen

We compute the flavorless running coupling constant of QCD from the three gluon vertex in the (regularisation independent) momentum subtraction renormalisation scheme. This is performed on the lattice with high statistics. The expected…

High Energy Physics - Phenomenology · Physics 2010-03-19 Ph. Boucaud , J. P. Leroy , J. Micheli , O. Pène , C. Roiesnel

The semi-analytical $O(\alpha_s^4)$ expression for the renormalization group $\beta$-function in the ${\rm{V}}$-scheme is obtained in the case of the $SU(N_c)$ gauge group. In the process of calculations we use the existing information…

High Energy Physics - Phenomenology · Physics 2015-10-13 A. L. Kataev , V. S. Molokoedov

We present an investigation of gauge-invariant smearing for Wilson fermions in quenched lattice QCD on a $24^3 \times 48$ lattice at $\beta = 6.2$. We demonstrate a smearing algorithm that allows a substantial improvement in the…

High Energy Physics - Lattice · Physics 2012-08-27 UKQCD Collaboration

We present the beta functions of gauge and Yukawa couplings in general four-dimensional quantum field theory, at four and three loops, respectively. The essence of our approach is fixing unknown coefficients in the most general ansatz for…

High Energy Physics - Phenomenology · Physics 2021-07-28 Alexander Bednyakov , Andrey Pikelner

This article gives a rigorous formulation and proof of the $1/N$ expansion for Wilson loop expectations in strongly coupled $SU(N)$ lattice gauge theory in any dimension. The coefficients of the expansion are represented as absolutely…

Probability · Mathematics 2016-10-13 Jafar Jafarov

We have carried out a Schrodinger functional (SF) calculation for the SU(3) lattice gauge theory with two flavors of Wilson fermions in the sextet representation of the gauge group. We find that the discrete beta function, which governs the…

High Energy Physics - Lattice · Physics 2008-11-26 Yigal Shamir , Benjamin Svetitsky , Thomas DeGrand

Finite cut-off effects strongly influence the thermodynamics of lattice regularized QCD at high temperature in the standard Wilson formulation. We analyze the reduction of finite cut-off effects in formulations of the thermodynamics of…

High Energy Physics - Lattice · Physics 2009-10-28 B. Beinlich , F. Karsch , E. Laermann

We use a single site lattice in four dimensions to study the scaling of large N Yang-Mills field coupled to a single massless Dirac fermion in the adjoint representation. We use the location of the strong to weak coupling transition defined…

High Energy Physics - Lattice · Physics 2015-06-04 A. Hietanen , R. Narayanan

We present the full expressions for the QCD beta-function in the MOMggg, MOMq and MOMh renormalization schemes at three loops for an arbitrary colour group in the Landau gauge. The results for all three schemes are in very good agreement…

High Energy Physics - Phenomenology · Physics 2011-08-19 J. A. Gracey

I perform an improved study of the $\beta$-function of $ SU(3) $ lattice gauge theory with $N_f=10$ massless optimal domain-wall fermions in the fundamental representation, which serves as a check to what extent the scenario in the previous…

High Energy Physics - Lattice · Physics 2019-01-23 Ting-Wai Chiu

Further evidence is presented for the existence of a non-confining phase at weak coupling in SU(2) lattice gauge theory. Using Monte Carlo simulations with the standard Wilson action, gauge-invariant SO(3)-Z2 monopoles, which are…

High Energy Physics - Lattice · Physics 2015-06-16 Michael Grady

We measure accurate values of the inter-quark potentials on a $48^{3}56$ lattice with SU(2) pure gauge theory at $ \beta =2.85$. The scale is set by extracting the string tension - we obtain ${\sqrt K}a=0.063(3)$ at $\beta =2.85.$ From a…

High Energy Physics - Lattice · Physics 2011-02-19 The UKQCD Collaboration , S. P. Booth , A. Hulsebos , A. C. Irving , A. McKerrell , C. Michael , P. S. Spencer , P. W. Stephenson