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Related papers: Anisotropic lattice with nonperturbative accuracy

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We derive the asymptotic lattice-spacing dependence $a^2[2b_0\bar{g}^2(1/a)]^{\hat{\gamma}_i}$ relevant for spectral quantities of lattice QCD, when using unrooted Staggered quarks. Without taking any effects from matching into account we…

High Energy Physics - Lattice · Physics 2025-09-01 Nikolai Husung

We study a quenched SU(2) lattice gauge theory in 4d in which the spatial gauge ensemble $\{U_i\}$ is generated from a 3d gauge-Higgs model and the timelike link variables are ``reconstructed'' from the Higgs fields. The resulting ensemble…

High Energy Physics - Lattice · Physics 2009-04-14 Pietro Giudice , Simon Hands

We present an evaluation of the quark mass renormalization factor for Nf=2+1 QCD. The Schroedinger functional scheme is employed as the intermediate scheme to carry out non-perturbative running from the low energy region, where…

High Energy Physics - Lattice · Physics 2014-11-21 S. Aoki , K. -I. Ishikawa , N. Ishizuka , T. Izubuchi , K. Kanaya , Y. Kuramashi , K. Murano , Y. Namekawa , M. Okawa , Y. Taniguchi , A. Ukawa , N. Ukita , T. Yoshié

We determine non-perturbatively the parameters of the lattice HQET Lagrangian and those of the time component of the heavy-light axial-vector current in the quenched approximation. The HQET expansion includes terms of order 1/m. Our results…

High Energy Physics - Lattice · Physics 2014-11-20 Benoît Blossier , Michele Della Morte , Nicolas Garron , Rainer Sommer

We analyze the meson correlator in the spatial direction at finite temperature. To achieve fine resolution in the spatial direction, we use an anisotropic lattice with the standard Wilson plaquette gauge action and the $O(a)$ improved…

High Energy Physics - Lattice · Physics 2007-05-23 K. Nomura , O. Miyamura , T. Umeda , H. Matsufuru

We investigate the viability of the quasi-temporal gauge on the lattice. This is a complete gauge fixing condition that can be implemented on the lattice at a very low computational cost. As a test case, using the Clover action, we have…

High Energy Physics - Lattice · Physics 2016-09-01 Livio Conti , Claudio Parrinello , Silvano Petrarca , Anastassios Vladikas

We perturbatively determine O($a$) boundary improvement coefficients at 1-loop for the Schr\"odinger Functional coupling with improved gauge actions. These coefficients are required to implement the 1-loop O($a$) improvement in full QCD…

High Energy Physics - Lattice · Physics 2015-06-25 Shinji Takeda , Sinya Aoki , Kiyotomo Ide

We analyse the leading logarithmic corrections to the $a^2$ scaling of lattice artefacts in QCD, following the seminal work of Balog, Niedermayer and Weisz in the O(n) non-linear sigma model. Limiting the discussion to contributions from…

High Energy Physics - Lattice · Physics 2022-02-11 Nikolai Husung , Peter Marquard , Rainer Sommer

We have studied the link-integration method for the improved actions. With this method the $\eta$ parameter in the medium to strong coupling regions is obtained. Effects of the self-energy terms for the $\eta$ parameters are small in the…

High Energy Physics - Lattice · Physics 2007-05-23 Sunao Sakai , Atsushi Nakamura , Takuya Saito

A variationally improved Sturmian approximation for solving time-independent Schr\"odinger equation is developed. This approximation is used to obtain the energy levels of a quartic anharmonic oscillator, a quartic potential, and a Gaussian…

Quantum Physics · Physics 2009-11-07 Ali Mostafazadeh

We consider the Heisenberg antiferromagnet on the square lattice with S=1/2 and very weak easy-plane exchange anisotropy; by means of the quantum Monte Carlo method, based on the continuous-time loop algorithm, we find that the…

Statistical Mechanics · Physics 2007-05-23 Alessandro Cuccoli , Tommaso Roscilde , Ruggero Vaia , Paola Verrucchi

A surprising feature of the Kerr metric is the anisotropy of the speed of light. The angular momentum of a rotating massive object causes co- and counter-propagating light paths to move at faster and slower velocities, respectively as…

General Relativity and Quantum Cosmology · Physics 2019-06-14 Sebastian P. Kish , Timothy C. Ralph

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

We non-perturbatively determine the renormalization constant and the improvement coefficients relating the renormalized current and subtracted quark mass in O(a) improved two-flavour lattice QCD. We employ the Schr\"odinger functional…

High Energy Physics - Lattice · Physics 2010-10-06 Patrick Fritzsch , Jochen Heitger , Nazario Tantalo

We propose a general method to obtain accurate estimates for some of the "low-energy constants" in the one-loop effective chiral Lagrangian by means of simulating lattice QCD. In particular, the method is sensitive to those constants whose…

High Energy Physics - Lattice · Physics 2011-02-01 Jochen Heitger , Rainer Sommer , Hartmut Wittig

We report results of quark masses in quenched lattice QCD with the Kogut-Susskind fermion action, employing the Reguralization Independent scheme (RI) of Martinelli et al. to non-perturbatively evaluate the renormalization factor relating…

We report on a parallelized implementation of SSOR preconditioning for O(a) improved lattice QCD with Schr\"odinger functional boundary conditions. Numerical simulations in the quenched approximation at parameters in the light quark mass…

High Energy Physics - Lattice · Physics 2009-10-31 Marco Guagnelli , Jochen Heitger

We determine the quark masses and the chiral condensate in the MSbar scheme at NNLO from Lattice QCD in the quenched approximation at beta=6.0, beta=6.2 and beta=6.4 using both the Wilson and the tree-level improved SW-Clover fermion…

High Energy Physics - Lattice · Physics 2009-10-31 V. Gimenez , L. Giusti , F. Rapuano , M. Talevi , A. Vladikas

We review our perturbative techniques for improved heavy quark actions. A new procedure for computing improvement coefficients is suggested, where the continuum limit of a lattice-regularized theory provides the matching conditions.We also…

High Energy Physics - Lattice · Physics 2009-11-10 Matthew Nobes , Howard Trottier

We compute the Isgur-Wise function using heavy quark effective theory formulated on the lattice. The non-relativistic kinetic energy term of the heavy quark is included to the action as well as terms remaining in the infinite quark mass…

High Energy Physics - Lattice · Physics 2009-10-28 S. Hashimoto , H. Matsufuru