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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…

高能物理 - 格点 · 物理学 2009-11-07 I. T. Drummond , A. Hart , R. R. Horgan , L. C. Storoni

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…

高能物理 - 格点 · 物理学 2009-11-10 A. Hart , R. R. Horgan , L. C. Storoni

The implementation of gauge theories on a four-dimensional anisotropic lattice with two distinct lattice spacings is discussed, with special attention to the case where two axes are finely and two axes are coarsely discretized. Feynman…

高能物理 - 格点 · 物理学 2010-03-25 Giuseppe Burgio , Alessandra Feo , Mike Peardon , Sinead M. Ryan

We study a systematic improvement of perturbation theory for gauge fields on the lattice; the improvement entails resumming, to all orders in the coupling constant, a dominant subclass of tadpole diagrams. This method, originally proposed…

高能物理 - 格点 · 物理学 2009-11-11 M. Constantinou , H. Panagopoulos , A. Skouroupathis

Lattice simulations on SU(2) and SU(3) gauge theories with matter fields in the fundamental, adjoint and two index symmetric representations are needed to determine if these theories are near or within the conformal window as required for…

高能物理 - 格点 · 物理学 2015-06-03 T. Karavirta , K. Rummukainen , K. Tuominen

We present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one loop level in lattice perturbation theory. Our calculations have been performed for Wilson/clover fermions and a…

高能物理 - 格点 · 物理学 2018-04-18 M. Constantinou , H. Panagopoulos

In this paper we present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one-loop level in lattice perturbation theory. Our calculations have been performed for Wilson/clover…

高能物理 - 格点 · 物理学 2018-10-03 Martha Constantinou , Haralambos Panagopoulos

We present an algorithm to automatically derive Feynman rules for lattice perturbation theory in background field gauge. Vertices with an arbitrary number of both background and quantum legs can be derived automatically from both gluonic…

高能物理 - 格点 · 物理学 2012-07-30 T. C. Hammant , R. R. Horgan , C. J. Monahan , A. G. Hart , E. H. Müller , A. Gray , K. Sivalingham , G. M. von Hippel

We discuss weak coupling perturbation theory for lattice actions in which the fermions couple to smeared gauge links. The normally large integrals that appear in lattice perturbation theory are drastically reduced. Even without detailed…

高能物理 - 格点 · 物理学 2015-06-25 C. Bernard , T. DeGrand

A comprehensive analysis of tadpole-improved SU(2) lattice gauge theory is made. Simulations are done on isotropic and anisotropic lattices, with and without improvement. Two tadpole renormalization schemes are employed, one using average…

高能物理 - 格点 · 物理学 2009-10-31 Norman H. Shakespeare , Howard D. Trottier

We present a 1-loop perturbative calculation of the fermion propagator, up to O(a^2) (a: lattice spacing). The fermions are described by Wilson, clover and twisted-mass actions; for gluons we use Symanzik improved actions (Plaquette,…

高能物理 - 格点 · 物理学 2010-11-05 Martha Constantinou , Haralambos Panagopoulos , Fotos Stylianou

Feynman perturbation theory for nonabelian gauge theory in light-like gauge is investigated. A lattice along two space-like directions is used as a gauge invariant ultraviolet regularization. For preservation of the polinomiality of action…

高能物理 - 理论 · 物理学 2014-11-21 M. S. Karnevskiy , S. A. Paston

We study the renormalisation of $SU(N_c)$ gauge theories on general anisotropic lattices, to one-loop order in perturbation theory, employing the background field method. The results are then applied in the context of two different…

高能物理 - 格点 · 物理学 2015-09-02 Matteo Giordano

We present a method to automatically derive the Feynman rules for mesonic chiral perturbation theory with a lattice regulator. The Feynman rules can be output both in a human-readable format and in a form suitable for an automated numerical…

高能物理 - 格点 · 物理学 2007-05-23 Bugra Borasoy , Georg M. von Hippel , Hermann Krebs , Randy Lewis

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,…

高能物理 - 格点 · 物理学 2008-11-26 Martha Constantinou , Haralambos Panagopoulos , Apostolos Skouroupathis

We present a new (and general) algorithm for deriving lattice Feynman rules which is capable of handling actions as complex as the Highly Improved Staggered Quark (HISQ) action. This enables us to perform a perturbative calculation of the…

高能物理 - 格点 · 物理学 2010-01-21 A. Hart , G. M. von Hippel , R. R. Horgan

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…

高能物理 - 格点 · 物理学 2010-01-21 Justin Foley , Colin Morningstar

On anisotropic lattices with the anisotropy $\xi=a_\sigma/a_\tau$ the following basic parameters are calculated by perturbative method: (1) the renormalization of the gauge coupling in spatial and temporal directions, $g_\sigma$ and…

高能物理 - 格点 · 物理学 2009-10-31 S. Sakai , T. Saito , A. Nakamura

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…

高能物理 - 格点 · 物理学 2015-06-25 Margarita Garcia Perez , Pierre van Baal

We present a calculation of the O(g^2,\lambda) perturbative corrections to the coupling anisotropies of the SU(2)-Higgs model on lattices with asymmetric lattice spacings. These corrections are obtained by a one-loop calculation requiring…

高能物理 - 格点 · 物理学 2010-11-19 F. Csikor , Z. Fodor , J. Heitger
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