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We compute the scattering amplitude in Wilson Chiral Perturbation Theory for two flavors. The lattice spacing effects due to the explicit chiral symmetry breaking are kept through O(a^2), and we consider the regime where the quark mass m is…

高能物理 - 格点 · 物理学 2010-01-21 Sinya Aoki , Oliver Bar , Benedikt Biedermann

Lattice gauge theory and chiral perturbation theory are among the primary tools for understanding non-perturbative aspects of QCD. I review several subtle and sometimes controversial issues that arise when combining these techniques. Among…

高能物理 - 格点 · 物理学 2013-09-25 Michael Creutz

Effective field theories of the strong interactions based on the approximate chiral symmetry of QCD provide a model-independent approach to low-energy hadron physics. We give a brief introduction to mesonic and baryonic chiral perturbation…

高能物理 - 唯象学 · 物理学 2015-03-19 Matthias R Schindler , Stefan Scherer

Effective field theory techniques are used to describe the interaction of heavy hadrons in a model independent way. Predictability is obtained by exploiting the symmetries of QCD. Heavy hadron chiral perturbation theory is reviewed and used…

高能物理 - 唯象学 · 物理学 2007-05-23 Iain W. Stewart

In the first part of the talk, I review what we know (or rather do not know) about the structure of the QCD vacuum in the presence of strange quarks. Chiral perturbation theory allows to study reactions of pions and kaons and to further…

高能物理 - 唯象学 · 物理学 2009-11-10 Ulf-G. Meißner

Theoretical as well as experimental progress has been made in the last decade in describing the properties of baryons. In this review I will mostly report on the theoretical issues. Two non-perturbative methods are privileged frameworks for…

高能物理 - 唯象学 · 物理学 2008-11-26 Véronique Bernard

In these notes we present an introductory review on various topics about low energy pion physics (some kaon physics is discussed as well). Among these, we include the uses of analyticity and unitarity to describe partial wave amplitudes…

高能物理 - 唯象学 · 物理学 2007-05-23 F. J. Yndurain

We report on recent work about the study of quark mass dependence of nucleon magnetic moments and axial-vector coupling constant. We examine the feasibility of chiral effective field theory methods for the extrapolation of lattice QCD data…

高能物理 - 格点 · 物理学 2009-11-10 Thomas R. Hemmert , Massimiliano Procura , Wolfram Weise

A review of chiral perturbation theory for lattice QCD at non-zero lattice spacing is given.

高能物理 - 格点 · 物理学 2009-11-10 Oliver Baer

We present a determination of the isovector, $P$-wave $\pi\pi$ scattering phase shift obtained by extrapolating recent lattice QCD results from the Hadron Spectrum Collaboration using $m_\pi =236$ MeV. The finite volume spectra are…

高能物理 - 唯象学 · 物理学 2016-04-12 Daniel R. Bolton , Raul A. Briceno , David J. Wilson

We report on a novel scheme based on the chiral Lagrangian. It is used to analyze pion-nucleon scattering, pion photoproduction, and nucleon Compton scattering. Subthreshold partial-wave amplitudes are calculated in chiral perturbation…

高能物理 - 唯象学 · 物理学 2015-05-20 A. M. Gasparyan , M. F. M. Lutz

A full, high-statistic I=0 and I=2 $\pi-\pi$ scattering calculation including the disconnected diagram is performed on 2+1 flavor, domain wall fermion gauge configurations generated using the Iwasaki gauge action with $\beta=2.13$, a…

高能物理 - 格点 · 物理学 2010-11-05 Qi Liu

We study nucleon-nucleon scattering on the lattice at next-to-leading order in chiral effective field theory. We determine phase shifts and mixing angles from the properties of two-nucleon standing waves induced by a hard spherical wall in…

核理论 · 物理学 2008-11-26 Bugra Borasoy , Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner

The two pion channel in Lattice QCD has long been a primary testing ground for studying multiparticle scattering in finite volume QCD. With the development of sophisticated techniques such as distillation, it is possible to carefully study…

高能物理 - 格点 · 物理学 2023-04-10 Mattia Bruno , Daniel Hoying , Taku Izubuchi , Christoph Lehner , Aaron S. Meyer , Masaaki Tomii

Using iso-spin symmetry the quark-connected and disconnected contributions to the hadronic vacuum polarisation in a theory with N_f=2 flavours can be described as independent correlation functions, respectively. We show how this allows to…

高能物理 - 格点 · 物理学 2010-01-26 Michele Della Morte , Andreas Juttner

We calculate the scalar and tensor charges of the nucleon in 2+1-flavor lattice QCD, for which the systematics of the renormalization of the disconnected diagram is well controlled. Numerical simulations are performed at a single lattice…

高能物理 - 格点 · 物理学 2018-09-27 Nodoka Yamanaka , Shoji Hashimoto , Takashi Kaneko , Hiroshi Ohki

We present our preliminary results concerning the charged/neutral pion mass difference $M_{\pi^{+}} - M_{\pi^{0}}$ at order $\mathcal{O}(\alpha_{em})$ in the QED interactions, and for $M_{\pi^{+}} - M_{\pi^{0}}$ at order $\mathcal{O}\left(…

高能物理 - 格点 · 物理学 2021-12-03 R. Frezzotti , G. Gagliardi , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula

Studies on hadron interactions from lattice QCD are reviewed. The $S$-wave $\pi\pi$ scattering lengths of the I=0 and I=2 channels are extracted from various lattice determinations of low energy constants in $N_f=2$ chiral perturbation…

高能物理 - 格点 · 物理学 2009-04-14 Sinya Aoki

An important tool for the analysis of results of numerical simulations of lattice QCD is chiral perturbation theory. In Wilson chiral perturbation theory the effects of the finite lattice spacing $a$ are taken into account. In recent years…

高能物理 - 格点 · 物理学 2016-05-31 Sebastian Engelnkemper , Gernot Münster

We perform a calculation in one-loop chiral perturbation theory of the two-pion matrix elements and correlation functions of an I=0 scalar operator, in finite and infinite volumes for both full and quenched QCD. We show that major…

高能物理 - 格点 · 物理学 2008-11-26 C. -J. D. Lin , G. Martinelli , E. Pallante , C. T. Sachrajda , G. Villadoro