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Related papers: Locality with staggered fermions

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We discuss the Schr\"odinger functional in lattice QCD with staggered fermions and relate it, in the classical continuum limit, to the Schr\"odinger functional regularized with Wilson fermions. We compute the strong coupling constant…

High Energy Physics - Lattice · Physics 2009-10-30 Urs M. Heller

We consider nonlinear, scaling-invariant N=1 boson + fermion supersymmetric systems whose right-hand sides are homogeneous differential polynomials and satisfy some natural assumptions. We select the super-systems that admit infinitely many…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 A. V. Kiselev , T. Wolf

We study the existence of fixed points to a parameterized Hammertstain operator $\cH_\beta,$ $\beta\in (0,\infty],$ with sigmoid type of nonlinearity. The parameter $\beta<\infty$ indicates the steepness of the slope of a nonlinear smooth…

Analysis of PDEs · Mathematics 2015-11-23 Anna Oleynik , Arcady Ponosov , Vadim Kostrykin , Alexander V. Sobolev

We calculate the one-loop matching coefficients between continuum and lattice four-fermion operators for lattice operators constructed using staggered fermions and improved by the use of fattened links. In particular, we consider hypercubic…

High Energy Physics - Lattice · Physics 2009-11-10 Weonjong Lee , Stephen Sharpe

A local Tb Theorem provides a flexible framework for proving the boundedness of a Calder\'on-Zygmund operator T. One needs only boundedness of the operator T on systems of locally pseudo-accretive functions \{b_Q\}, indexed by cubes. We…

Classical Analysis and ODEs · Mathematics 2015-09-02 Michael T. Lacey , Antti V. Vähäkangas

Given two parties performing experiments in separate laboratories, we provide a diagrammatic formulation of what it means for the joint statistics of their experiments to satisfy local realism. In particular, we show that the principles of…

Quantum Physics · Physics 2025-02-28 James Fullwood

A new class of shifted homotopy operators in higher-spin gauge theory is introduced. A sufficient condition for locality of dynamical equations is formulated and Pfaffian Locality Theorem identifying a subclass of shifted homotopies that…

High Energy Physics - Theory · Physics 2018-10-16 O. A. Gelfond , M. A. Vasiliev

String-local fields constitute a relatively new tool for solving quantum field theory, stressing and embodying locality and positivity. We examine here their usefulness -- as well as some drawbacks. Starting from just the physical masses…

High Energy Physics - Theory · Physics 2023-07-11 José M. Gracia-Bondía , Joseph C. Várilly

We report results from full QCD calculations with two flavors of dynamical staggered fermions on anisotropic lattices. The physical anisotropy as determined from spatial and temporal masses, their corresponding dispersion relations, and…

High Energy Physics - Lattice · Physics 2010-11-15 L. Levkova , T. Manke

We investigate the Hamiltonian formulation of 1+1-dimensional staggered fermions and reconstruct the vector and axial charge operators, originally identified by Arkya Chatterjee et al., within the Wilson fermion formalism. These operators…

High Energy Physics - Lattice · Physics 2026-03-30 Tatsuya Yamaoka

Universality of various fermion formulations is well established in QCD-like theories defined around the perturbative $g^2=0$ fixed point. These arguments do not apply for conformal systems that exhibit an infrared fixed point at…

High Energy Physics - Lattice · Physics 2018-04-18 Anna Hasenfratz , Claudio Rebbi , Oliver Witzel

The rotation induced inhomogeneous problem is non-trivial and inevitable. In this paper a generic framework is developed to investigate the inhomogeneous condensate in a system of fermions under the presence of rotation. It is a…

Nuclear Theory · Physics 2019-09-11 Lingxiao Wang , Yin Jiang , Lianyi He , Pengfei Zhuang

In the staggered fermion formulation of lattice QCD, we construct diquark operators to be embedded in singly heavy baryons. The group theoretical connections between the continuum and lattice staggered diquark representations are…

High Energy Physics - Lattice · Physics 2008-11-26 Steven Gottlieb , Heechang Na , Kazuhiro Nagata

In staggered QCD, many staggered baryons correspond to each physical state. Taste violations lift the continuum degeneracies of the baryons and introduce nonzero off-diagonal elements in the mass matrix. While presenting no problem of…

High Energy Physics - Lattice · Physics 2008-11-26 Jon A. Bailey

The lowest order quantum corrections to the effective action arising from quantized massive fermion fields in the Randall-Sundrum background spacetime are computed. The boundary conditions and their relation with gauge invariance are…

High Energy Physics - Theory · Physics 2014-11-18 Antonino Flachi , Ian G Moss , David J Toms

Nonlocal cosmological models with quadratic potentials are considered. We study the action with an arbitrary analytic function F(\Box_g), which has both double and simple roots. The formulae for nonlocal energy-momentum tensor, which…

High Energy Physics - Theory · Physics 2010-05-05 Sergey Yu. Vernov

We study localization effects of disorder on the spectral and dynamical properties of Schroedinger operators with random potentials. The new results include exponentially decaying bounds on the transition amplitude and related projection…

Mathematical Physics · Physics 2008-09-28 Michael Aizenman , Alexander Elgart , Serguei Naboko , Jeffrey H. Schenker , Gunter Stolz

Localized unitary operators are basic probes of locality and causality in quantum systems: localized unitary operators create localized excitations in entangled states. Working with an explicit form, we explore the properties of these…

High Energy Physics - Theory · Physics 2017-06-27 Allic Sivaramakrishnan

This paper is devoted to the study of a certain type of martingale problems associated to general operators corresponding to processes which have finite lifetime. We analyse several properties and in particular the weak convergence of…

Probability · Mathematics 2017-09-12 Mihai Gradinaru , Tristan Haugomat

A $\theta$-local formulation of superfield Lagrangian quantization in non-Abelian hypergauges is proposed on the basis of an extension of general reducible gauge theories to special superfield models with a Grassmann parameter $\theta$. We…

High Energy Physics - Theory · Physics 2009-11-11 D. M. Gitman , P. Yu. Moshin , A. A. Reshetnyak
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