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In a large-momentum nucleon state, the matrix element of a gauge-invariant Euclidean Wilson line operator accessible from lattice QCD can be related to the standard light-cone parton distribution function through the large-momentum…

高能物理 - 唯象学 · 物理学 2018-09-19 Taku Izubuchi , Xiangdong Ji , Luchang Jin , Iain W. Stewart , Yong Zhao

We implement the effective field theory for gravitating spinning objects in the post-Newtonian scheme at the next-to-next-to-leading order level to derive the gravitational spin-orbit interaction potential at the third and a half…

广义相对论与量子宇宙学 · 物理学 2020-04-22 Michèle Levi , Jan Steinhoff

We discuss a general strategy to compute the coefficients of QCD chiral Lagrangian by using the lattice regularization of QCD with Wilson fermions. This procedure requires the introduction of an effective Lagrangian for lattice QCD as an…

高能物理 - 格点 · 物理学 2009-10-28 A. R. Levi , V. Lubicz , C. Rebbi

Over the past few years, Hamiltonian effective field theory has been successfully applied to studies of nucleon and hyperon excited states. By discretizing the Hamiltonian in a finite volume, one can obtain the energy spectrum and compare…

高能物理 - 唯象学 · 物理学 2025-12-01 Yu Zhuge , Dan Guo , Zhan-Wei Liu , Derek B. Leinweber , Anthony W. Thomas

In the present paper, the concept of contraction has been extended in a refined manner by introducing $\mathfrak{D}$-Contraction defined on a family $\mathfrak{F}$ of bounded functions. Also, a new notion of fixed function has been…

泛函分析 · 数学 2017-09-05 Pooja Dhawan , Jatinderdeep Kaur , Vishal Gupta

Recent studies of the topological properties of a general class of lattice Dirac operators are reported. This is based on a specific algebraic realization of the Ginsparg-Wilson relation in the form…

高能物理 - 格点 · 物理学 2016-09-01 Kazuo Fujikawa

Differential structure of lattices can be defined if the lattices are treated as models of noncommutative geometry. The detailed construction consists of specifying a generalized Dirac operator and a wedge product. Gauge potential and field…

高能物理 - 理论 · 物理学 2007-05-23 Jian Dai , Xing-Chang Song

Random Matrix Theory has been successfully applied to lattice Quantum Chromodynamics. In particular, a great deal of progress has been made on the understanding, numerically as well as analytically, of the spectral properties of the Wilson…

高能物理 - 格点 · 物理学 2013-11-13 Mario Kieburg , Jacobus J. M. Verbaarschot , Savvas Zafeiropoulos

Motivated by the connection between gauge field topology and the axial anomaly in fermion currents, I use the fourth power of the naive Dirac operator to define a local lattice measure of topological charge. For smooth gauge fields this…

高能物理 - 格点 · 物理学 2011-03-07 Michael Creutz

We analyze a class of mean-field (MF) lattice-fermion Hamiltonians and construct the corresponding grand-canonical density operator for such system. New terms are introduced, which may be interpreted as local fugacities, molecular fields,…

强关联电子 · 物理学 2009-09-01 Jakub Jȩdrak , Jozef Spałek

Effective Quantum Field Theories and QCD Lattice methods have become more and more complementary and mutually supportive in the study of Hard Probes. I present some of the progress that this alliance already delivered and I discuss future…

高能物理 - 唯象学 · 物理学 2020-10-29 Nora Brambilla

We discuss the interplay between topologically non-trivial gauge field configurations and the spectrum of the Wilson-Dirac operator in lattice gauge theory. Our analysis is based on analytic arguments and numerical results from a lattice…

高能物理 - 格点 · 物理学 2009-10-30 C. R. Gattringer , I. Hip , C. B. Lang

We use the overlap formalism to define a topological index on the lattice. We study the spectral flow of the hermitian Wilson-Dirac operator and identify zero crossings with topological objects. We determine the topological susceptibility…

高能物理 - 格点 · 物理学 2009-10-31 Robert G. Edwards , Urs M. Heller , Rajamani Narayanan

Wilson's formulation of lattice QCD is attractive for many reasons, but perhaps mainly because of its simplicity and conceptual clarity. Numerical simulations of the Wilson theory (and of its improved versions) tend to be extremely…

高能物理 - 格点 · 物理学 2007-05-23 Martin Lüscher

We consider a set of gauge invariant terms in higher order effective Lagrangians of the strongly interacting scalar of the electroweak theory. The terms are introduced in the framework of the hidden gauge symmetry formalism. The usual gauge…

高能物理 - 唯象学 · 物理学 2009-10-22 L. Marleau , H. Omari

We investigate two-point correlation functions of left-handed currents computed in quenched lattice QCD with the Neuberger-Dirac operator. We consider two lattice spacings a~0.09,0.12 fm and two different lattice extents L~ 1.5, 2.0 fm;…

高能物理 - 格点 · 物理学 2010-02-03 L. Giusti , P. Hernandez , S. Necco , C. Pena , J. Wennekers , H. Wittig

We investigate topological charge and the index theorem on finite lattices numerically. Using mean field improved gauge field configurations we calculate the topological charge Q using the gluon field definition with ${\cal…

高能物理 - 格点 · 物理学 2010-03-04 J. B. Zhang , S. O. Bilson-Thompson , F. D. R. Bonnet , D. B. Leinweber , A. G. Williams , J. M. Zanotti

We show that the tree-level spectrum of heavy particles can be directly extracted from the Wilson coefficients of the corresponding effective field theory at low energies. This procedure is exact when the number of resonances is finite, and…

高能物理 - 理论 · 物理学 2026-04-20 Francesco Calisto , Clifford Cheung , Grant N. Remmen , Francesco Sciotti , Michele Tarquini

We study various improved staggered quark Dirac operators on quenched gluon backgrounds in lattice QCD. We find a clear separation of the spectrum of eigenvalues into high chirality, would-be zero modes and others, in accordance with the…

高能物理 - 格点 · 物理学 2015-06-25 E. Follana , A. Hart , C. T. H. Davies

This work discusses reliability, possible obstacles and the future perspective of chiral extrapolation of lattice results. In the first part, chiral perturbation theory fits to lattice calculations of the nucleon mass are thoroughly…

高能物理 - 格点 · 物理学 2007-05-23 Bernhard U. Musch