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We determine the chiral condensate from simulations of quenched lattice QCD with Wilson fermions. Our measurements have been obtained with high statistics at three values of the gauge coupling, corresponding to UV cutoffs in the range 2 - 4…

高能物理 - 格点 · 物理学 2009-10-31 L. Giusti , F. Rapuano , M. Talevi , A. Vladikas

Lattice gauge theories in varying dimensions, lattice volumes, and truncations offer a rich family of targets for Hamiltonian simulation on quantum devices. In return, formulating quantum simulations can provide new ways of thinking about…

The lattice formulation provides a way to regularize, define and compute the Path Integral in a Quantum Field Theory. In this paper we review the theoretical foundations and the most basic algorithms required to implement a typical lattice…

高能物理 - 格点 · 物理学 2009-11-11 Massimo Di Pierro

Lattice simulations of the QCD correlation functions in the Landau gauge have established two remarkable facts. First, the coupling constant in the gauge sector remains finite and moderate at all scales, suggesting that some kind of…

高能物理 - 理论 · 物理学 2021-12-22 Marcela Peláez , Urko Reinosa , Julien Serreau , Matthieu Tissier , Nicolás Wschebor

We define and evaluate on the lattice the amputated 3-gluon vertex function in momentum space. We give numerical results for $16^3 \times 40$ and $24^3 \times 40$ quenched lattices at $\beta=6.0$. A good numerical signal is obtained, at the…

高能物理 - 格点 · 物理学 2008-12-24 C. Parrinello

We discuss two proposals for a non-perturbative formulation of chiral gauge theories on the lattice. In both cases gauge symmetry is broken by the regularization. We aim at a dynamical restoration of symmetry. If the gauge symmetry breaking…

高能物理 - 格点 · 物理学 2011-04-20 Wolfgang Bock

We construct symmetry-preserving lattice regularizations of 2d QED with one and two flavors of Dirac fermions, as well as the `3450' chiral gauge theory, by leveraging bosonization and recently-proposed modifications of Villain-type lattice…

高能物理 - 格点 · 物理学 2024-06-14 Evan Berkowitz , Aleksey Cherman , Theodore Jacobson

We revisit the computation of the three-gluon vertex in the Landau gauge using lattice QCD simulations with large physical volumes of $\sim$ (6.5 fm)$^ 4$ and $\sim$ (8 fm)$^ 4$ and large statistical ensembles. For the kinematical…

高能物理 - 格点 · 物理学 2022-02-16 Guilherme T. R. Catumba , Orlando Oliveira , Paulo J. Silva

Newer lattice results indicate that, in the Landau gauge at low spacelike momenta, the gluon propagator and the ghost dressing function are finite nonzero. This leads to a definition of the QCD running coupling, in a specific scheme, that…

高能物理 - 唯象学 · 物理学 2019-04-02 Cesar Ayala , Gorazd Cvetic , Reinhart Kogerler

We identify gauge freedoms in quantum error correction (QEC) codes and introduce strategies for optimal control algorithms to find the gauges which allow the easiest experimental realization. Hereby, the optimal gauge depends on the…

量子物理 · 物理学 2015-03-06 V. Nebendahl

It is known that exactly self-dual gauge-field configurations with topological charge |Q|=1 cannot exist on the untwisted continuum 4-torus. We explore the manifestation of this remarkable fact on the lattice 4-torus for SU(3) using…

高能物理 - 格点 · 物理学 2009-11-10 Sundance O. Bilson-Thompson , Derek B. Leinweber , Anthony G. Williams , Gerald V. Dunne

We study the infrared behavior of the gluon propagator in lattice Landau gauge, for pure SU(2) lattice gauge theory in a three-dimensional lattice. Simulations are done for nine different values of the coupling $\beta$, from $\beta = 0$…

高能物理 - 格点 · 物理学 2009-10-31 Attilio Cucchieri

We present an overview of the recent lattice determination of the QCD coupling $\alpha_s$ by the ALPHA Collaboration. The computation is based on the non-perturbative determination of the $\Lambda$-parameter of $N_{\rm f}=3$ QCD, and the…

高能物理 - 唯象学 · 物理学 2018-12-18 Mattia Dalla Brida

The properties of the momentum space quark propagator in Landau gauge are examined for the overlap quark action in quenched lattice QCD. Numerical calculations are done on three lattices with different lattice spacings and similar physical…

高能物理 - 格点 · 物理学 2016-09-01 J. B. Zhang , F. D. R. Bonnet , P. O. Bowman , D. B. Leinwebwer , A. G. Williams

We present clear evidence of strong effects of Gribov copies in Landau gauge gluon and ghost propagators computed on the lattice at small momenta by employing a new approach to Landau gauge fixing and a more effective numerical algorithm.…

高能物理 - 格点 · 物理学 2017-08-23 I. L. Bogolubsky , V. G. Bornyakov , G. Burgio , E. -M. Ilgenfritz , M. Müller-Preussker , V. K. Mitrjushkin

We propose a new algorithm to compute the order-order interface tension in SU(N) lattice gauge theories. The algorithm is trivially generalizable to a variety of models, e.g., spin models. In the case N=3, via the perfect wetting…

高能物理 - 格点 · 物理学 2007-05-23 Biagio Lucini , Philippe de Forcrand , Michele Vettorazzo

We study non-perturbative improvement in SU(3) lattice gauge theory coupled to fermions in the fundamental and two-index symmetric representations. Our lattice action is defined with hypercubic smeared links incorporated into the…

高能物理 - 格点 · 物理学 2011-06-07 Yigal Shamir , Benjamin Svetitsky , Evgeny Yurkovsky

The low-lying eigenvalues of a (sparse) hermitian matrix can be computed with controlled numerical errors by a conjugate gradient (CG) method. This CG algorithm is accelerated by alternating it with exact diagonalisations in the subspace…

高能物理 - 格点 · 物理学 2008-11-26 Thomas Kalkreuter , Hubert Simma

Lattice gauge theories are considered with a partial axial gauge fixing along one direction only. This leaves a residual gauge symmetry that is still local in three directions but now global in one. It is found that this $N^{d-1}$ fold…

高能物理 - 格点 · 物理学 2007-05-23 Michael Grady

We present the first results from a study of the quark--gluon vertex function in the Landau gauge. The results are obtained for quenched QCD with an O(a)-improved Wilson fermion action, at beta=6.0. We discuss plans for further study,…

高能物理 - 格点 · 物理学 2009-10-28 Jon Ivar Skullerud