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Related papers: Anisotropy tuning with the Wilson flow

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We determine the one-loop correction to the anisotropy factor for the square Symanzik improved lattice action, extracted fromthe finite volume effective action for SU(N) gauge theories in the background of a zero-momentum gauge field. The…

High Energy Physics - Lattice · Physics 2015-06-25 Margarita Garcia Perez , Pierre van Baal

In this conference proceeding, we investigate the physical anisotropy in terms of the temporal and spatial lattice spacings in relation to the bare parameters of SU(2) pure gauge theory using Wilson gradient flow. Anisotropic lattices have…

High Energy Physics - Lattice · Physics 2023-12-14 Kirill Boguslavski , Paul Hotzy , David I. Müller , Dénes Sexty

Anisotropic lattices, with a temporal lattice spacing smaller than the spatial one, allow precision Monte Carlo calculations of problems that are difficult to study otherwise: heavy quarks, glueballs, hybrids, and high temperature…

High Energy Physics - Lattice · Physics 2009-10-31 T. R. Klassen

We discuss the tuning of the anisotropic clover action and Symanzik-improved gauge action in lattice perturbation theory. The fermion action is constructed from stout-smeared spatial links, which complicates the calculation considerably. In…

High Energy Physics - Lattice · Physics 2010-01-21 Justin Foley , Colin Morningstar

The $O(a)$ improved Wilson quark action on the anisotropic lattice is investigated. We carry out numerical simulations in the quenched approximation at three values of lattice spacing ($a_{\sigma}^{-1}=1$--2 GeV) with the anisotropy…

High Energy Physics - Lattice · Physics 2009-11-07 Hideo Matsufuru , Tetsuya Onogi , Takashi Umeda

We report on our study of two-flavor full QCD on anisotropic lattices using $O(a)$-improved Wilson quarks coupled with an RG-improved glue. The bare gauge and quark anisotropies corresponding to the renormalized anisotropy $\xi=a_s/a_t = 2$…

We use two non-perturbative methods to obtain the anisotropy derivatives of the coupling constants (the anisotropy coefficients) of SU(3) lattice gauge theory. These coefficients appear in the derivative formulae for the energy density and…

High Energy Physics - Lattice · Physics 2009-10-31 J. Engels , F. Karsch , T. Scheideler

We compute nonequilibrium dynamics for classical-statistical SU(2) pure gauge theory on a lattice. We consider anisotropic initial conditions with high occupation numbers in the transverse plane on a characteristic scale ~ Q_s. This is used…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Berges , S. Scheffler , D. Sexty

Using the infrared dispersion relation of the on shell gluon, we calculate the renormalisation of the the anisotropy to one loop in perturbation theory for lattice Yang-Mills theories, including the Wilson action and actions with Symanzik…

High Energy Physics - Lattice · Physics 2009-11-07 I. T. Drummond , A. Hart , R. R. Horgan , L. C. Storoni

We investigate the Symanzik improvement of the Wilson quark action on anisotropic lattices. Taking first a general action with nearest-neighbor and clover interactions, we study the mass dependence of the ratio of the hopping parameters,…

High Energy Physics - Lattice · Physics 2014-11-17 Junpei Harada , Andreas S. Kronfeld , Hideo Matsufuru , Noriaki Nakajima , Tetsuya Onogi

We report on our study of two-flavor full QCD on anisotropic lattices using $O(a)$-improved Wilson quarks coupled with an RG-improved glue. The bare gauge and quark anisotropies corresponding to the renormalized anisotropy $\xi=a_s/a_t = 2$…

The fate of heavy quarkonia states in quark-gluon plasma is encoded in the temperature dependence of their spectral functions. Reconstruction of spectral functions from Euclidean lattice correlators is an ill-posed problem. Despite a…

High Energy Physics - Lattice · Physics 2024-01-19 Alexei Bazavov , Yannis Trimis , Johannes Heinrich Weber

We present methods and results for the tuning of quark and gluon anisotropies for improved actions in N_f = 2 QCD.

High Energy Physics - Lattice · Physics 2016-09-01 R. Morrin , M. Peardon , S. M. Ryan

Theoretical and numerical studies of the Wilson flow in lattice QCD suggest that the gauge field obtained at flow time t>0 is a smooth renormalized field. The expectation values of local gauge-invariant expressions in this field are thus…

High Energy Physics - Lattice · Physics 2014-01-28 Martin Lüscher

Recently a new method to set the scale in lattice gauge theories, based on the gradient flow generated by the Wilson action, has been proposed, and the systematic errors of the new scales t0 and w0 have been investigated by various groups.…

High Energy Physics - Lattice · Physics 2017-02-03 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

We calculate the two loop Landau mean links and the one loop renormalisation of the anisotropy for Wilson and improved SU(3) gauge actions, using twisted boundary conditions as a gauge invariant infrared regulator. We show these accurately…

High Energy Physics - Lattice · Physics 2009-11-07 I. T. Drummond , A. Hart , R. R. Horgan , L. C. Storoni

We describe the first steps in the extension of the Symanzik O($a$) improvement program for Wilson-type quark actions to anisotropic lattices, with a temporal lattice spacing smaller than the spatial one. This provides a fully relativistic…

High Energy Physics - Lattice · Physics 2009-10-31 T. R. Klassen

We report results of autocorrelation measurements in pure $SU(3)$ lattice gauge theory. The computations are performed on the {\sc convex spp1200} parallel platform within the {\sc canopy} programming environment. The focus of our analysis…

High Energy Physics - Lattice · Physics 2008-11-26 Terrence Draper , Constantine Nenkov , Mike Peardon

We construct the effective field theory appropriate for describing the low energy behavior of anisotropic Wilson lattice actions and the O(a) improved variant thereof. We then apply this effective field theory to the hadron spectrum and…

High Energy Physics - Lattice · Physics 2008-06-16 Paulo F. Bedaque , Michael I. Buchoff , Andre Walker-Loud

The $O(a)$ improved Wilson quark action on the anisotropic lattice is investigated. We carry out numerical simulations in the quenched approximation at three values of lattice spacing ($a_{\sigma}^{-1}=1$--2 GeV) with the anisotropy…

High Energy Physics - Lattice · Physics 2007-05-23 T. Umeda , H. Matsufuru , T. Onogi
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