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We propose a modification of the Nightingale renormalization group for lattice spin and gauge models by combining it with the cluster decimation approximation. Essential ingredients of our approach are: 1) exact calculation of the partition…

High Energy Physics - Lattice · Physics 2013-11-05 O. Borisenko , V. Chelnokov , V. Kushnir

Results from a calculation of the low-lying glueball spectrum of pure-gauge SU(3) are used as a test of the effectiveness of improved discretisation schemes in reducing finite spacing errors. Glueball masses are extracted from simulations…

High Energy Physics - Lattice · Physics 2009-10-28 Colin Morningstar , Mike Peardon

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

Anisotropic lattice spacings are mandatory to reach the high temperatures where chiral symmetry is restored in the strong coupling limit of lattice QCD. Here, we propose a simple criterion for the nonperturbative renormalisation of the…

High Energy Physics - Lattice · Physics 2018-03-09 Philippe de Forcrand , Wolfgang Unger , Helvio Vairinhos

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 study decimation procedures and effective (improved) actions in the framework of Monte Carlo Renormalization Group (MCRG). Particular attention is paid to matching the form of the effective action to the decimation procedure parameters.…

High Energy Physics - Lattice · Physics 2008-11-26 E. T. Tomboulis , A. Velytsky

We present the one-loop coefficients for an alternative Symanzik improved lattice action with gauge groups SU(2) or SU(3).

High Energy Physics - Lattice · Physics 2008-11-26 Jeroen Snippe

Using tadpole inproved actions we investigate the consistency between different methods of measuring the aspect ratio renormalization of anisotropic-lattice gluons for bare aspect ratios \chi_0=4,6,10 and inverse lattice spacing in the…

High Energy Physics - Lattice · Physics 2009-10-31 M. Alford , I. T. Drummond , R. R. Horgan , M. Peardon , H. Shanahan

One-loop corrections to the fermion rest mass M_1, wave function renormalization Z_2 and speed of light renormalization C_0 are presented for lattice actions that combine improved glue with clover or D234 quark actions and keep the temporal…

High Energy Physics - Lattice · Physics 2009-10-31 Stefan Groote , Junko Shigemitsu

We study a coupling flow of pure QCD gauge system by using the Monte Carlo Renormalization Group method. A rough location of the renormalized trajectory in two coupling space is obtained. Also we compare 4 different actions; (a)standard…

We study the scaling behavior of the step scaling function for SU(3) gauge theory, employing the Iwasaki gauge action and the Luescher-Weisz gauge action. In particular, we test the choice of boundary counter terms and apply a perturbative…

The parameters of a 3+1 anisotropic quark action with Symanzik-improved glue are determined at 1-loop in perturbation theory.

High Energy Physics - Lattice · Physics 2008-11-26 Justin Foley , Mike Peardon , Sinead M. Ryan

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 scaling behavior of pure gauge SU(3) in the region $\beta=5.85 - 7.60$ is examined by a Monte Carlo Renormalization Group analysis. The coupling shifts induced by factor 2 blocking are measured both on 32$^4$ and 16$^4$ lattices with…

For the three-dimensional cubic model, the nonlinear susceptibilities of the fourth, sixth, and eighth orders are analyzed and the parameters \delta^(i) characterizing their reduced anisotropy are evaluated at the cubic fixed point. In the…

Statistical Mechanics · Physics 2009-11-07 D. V. Pakhnin , A. I. Sokolov

Using real-space renormalisation techniques we analyse the Ising model on a Sierpi\'nski gasket with anisotropic microscopic couplings, and observe a restoration of isotropy on macroscopic scales. In particular, via use of a decimation…

Condensed Matter · Physics 2009-10-30 D. C. Brody , A. Ritz

The Svetitsky-Yaffe conjecture for finite temperature 4d SU(2) lattice gauge theory is confirmed by observing matching of block spin effective actions of the gauge model with those of the 3d Ising model. The effective action for the gauge…

High Energy Physics - Lattice · Physics 2009-10-30 K. Pinn , S. Vinti

We study the glueballs properties at finite temperature using SU(3) lattice QCD at the quenched level with the anisotropic lattice. We use the tree-level Symanzik O(a^2) improved action. We present our preliminary results which shows the…

High Energy Physics - Lattice · Physics 2017-08-23 Noriyoshi Ishii , Hideo Suganuma , Hideo Matsufuru

Using a variant of the IMCRG method of Gupta and Cordery, we explicitly compute majority rule block spin effective actions for the signs of the Polyakov loops in 4D SU(2) finite temperature lattice gauge theories. To the best of our…

High Energy Physics - Lattice · Physics 2009-10-30 K. Pinn , S. Vinti

Lepage and Mackenzie have shown that tadpole renormalization and systematic improvement of lattice perturbation theory can lead to much improved numerical results in lattice gauge theory. It is shown that lattice perturbation theory using…

High Energy Physics - Lattice · Physics 2009-10-28 Vipul Periwal