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We briefly report our calculation of the 2-loop coefficient of the coupling constant renormalization function Z_g in lattice perturbation theory. The quantity under study is defined through g_0 = Z_g g, where g_0 (g) is the bare…

High Energy Physics - Lattice · Physics 2009-04-14 Martha Constantinou , Haralambos Panagopoulos

We present a new numerical Monte Carlo approach to determine the scaling behavior of lattice field theories far from equilibrium. The presented methods are generally applicable to systems where classical-statistical fluctuations dominate…

High Energy Physics - Lattice · Physics 2013-11-19 David Mesterházy , Luca Biferale , Karl Jansen , Raffaele Tripiccione

The $B$-meson decay constant can be measured on the lattice using a $1/m_b$ expansion. To relate the physical quantity to Monte Carlo data one has to know the renormalization coefficient, $Z$, between the lattice operators and their…

High Energy Physics - Lattice · Physics 2010-03-19 Ph. Boucaud , J-P Leroy , J. Micheli , O. Pène , G. C Rossi

In lattice quantum field theory studies, parameters defining the lattice theory must be tuned toward criticality to access continuum physics. Commonly used Markov chain Monte Carlo (MCMC) methods suffer from critical slowing down in this…

High Energy Physics - Lattice · Physics 2021-06-04 Gurtej Kanwar

The advantage of simulating lattice field theory with quantum computers is hamstrung by the limited resources that induce large errors from finite volume and sizable lattice spacings. Previous work has shown how classical simulations near…

High Energy Physics - Lattice · Physics 2023-01-04 Marcela Carena , Erik J. Gustafson , Henry Lamm , Ying-Ying Li , Wanqiang Liu

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

High Energy Physics - Lattice · Physics 2012-11-06 M. Constantinou , M. Costa , M. Gockeler , R. Horsley , H. Panagopoulos , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We study the effects of gauge-symmetry breaking (GSB) perturbations in three-dimensional lattice gauge theories with scalar fields. We study this issue at transitions in which gauge correlations are not critical and the gauge symmetry only…

High Energy Physics - Lattice · Physics 2021-08-04 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

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

Perturbative coefficients for Wilson loops and the static quark self-energy are extracted from Monte Carlo simulations at large beta on finite volumes, where all the lattice momenta are large. The Monte Carlo results are in excellent…

High Energy Physics - Lattice · Physics 2015-06-25 G. P. Lepage , P. B. Mackenzie , N. H. Shakespeare , H. D. Trottier

The successive perturbative estimates of the pressure of QCD at high temperature T show no sign of convergence, unless the coupling constant g is unrealistically small. Exploiting known results of an effective field theory which separates…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. -P. Blaizot , E. Iancu , A. Rebhan

We calculate the mean link in Landau gauge for Wilson and improved SU(3) anisotropic gauge actions, using two loop perturbation theory and Monte Carlo simulation employing an accelerated Langevin algorithm. Twisted boundary conditions are…

High Energy Physics - Lattice · Physics 2009-11-10 A. Hart , R. R. Horgan , L. C. Storoni

We calculate perturbative Wilson loops of various sizes up to loop order $n=20$ at different lattice sizes for pure plaquette and tree-level improved Symanzik gauge theories using the technique of Numerical Stochastic Perturbation Theory.…

High Energy Physics - Lattice · Physics 2010-10-25 R. Horsley , G. Hotzel , E. -M. Ilgenfritz , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

In this paper, we examine a compact $U(1)$ lattice gauge theory in $(2+1)$ dimensions and present a strategy for studying the running coupling and extracting the non-perturbative $\Lambda$-parameter. To this end, we combine Monte Carlo…

High Energy Physics - Lattice · Physics 2024-06-13 Arianna Crippa , Simone Romiti , Lena Funcke , Karl Jansen , Stefan Kühn , Paolo Stornati , Carsten Urbach

The universality of the continuum limit and the applicability of renormalized perturbation theory are tested in the SU(2) lattice gauge theory by computing two different non-perturbatively defined running couplings over a large range of…

High Energy Physics - Lattice · Physics 2009-10-22 G. de Divitiis , R. Frezzotti , M. Guagnelli , M. Luescher , R. Petronzio , R. Sommer , P. Weisz , U. Wolff

We present the equation of state (pressure, trace anomaly, energy density and entropy density) of the SU(3) gauge theory from lattice field theory in an unprecedented precision and temperature range. We control both finite size and cut-off…

High Energy Physics - Phenomenology · Physics 2011-04-04 Sz. Borsanyi , G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

We study a systematic improvement of perturbation theory for gauge fields on the lattice [hep-lat/0606001]; the improvement entails resumming, to all orders in the coupling constant, a dominant subclass of tadpole diagrams. This method,…

High Energy Physics - Lattice · Physics 2008-11-26 Martha Constantinou , Haralambos Panagopoulos , Apostolos Skouroupathis

Renormalization factors relate the observables obtained on the lattice to their measured counterparts in the continuum in a suitable renormalization scheme. They have to be computed very precisely which requires a careful treatment of…

High Energy Physics - Lattice · Physics 2013-10-25 M. Constantinou , M. Costa , M. Gockeler , R. Horsley , H. Panagopoulos , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

For N>4 there is a first order bulk transition that cleanly separates the strong and weak coupling regimes of SU(N) lattice gauge theories with the plaquette action. We find that in this case the calculated string tension can be readily…

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

In this paper we use one-loop chiral perturbation theory in order to compare lattice computations of the K+ to pi+ pi0 decay amplitude with the experimental value. This makes it possible to investigate three systematic effects that plague…

High Energy Physics - Lattice · Physics 2016-08-24 Maarten Golterman , Ka Chun Leung

Viable candidate theories for electroweak dynamical symmetry breaking are expected to show (near) conformal behaviour in order to accommodate current phenomenological constraints. In principle, renormalisation group studies using finite…

High Energy Physics - Lattice · Physics 2011-11-10 Stefan Sint , Pol Vilaseca