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The description of strong interaction physics of low-lying resonances is out of the valid range of perturbative QCD. Chiral effective field theories have been developed to tackle the issue. Partial wave dynamics is the systematic tool to…

高能物理 - 唯象学 · 物理学 2021-10-26 De-Liang Yao , Ling-Yun Dai , Han-Qing Zheng , Zhi-Yong Zhou

Elastic pion-pion and pion-nucleon scattering are reviewed in the context of chiral perturbation theory. Theoretical results from systematic low-energy expansions to O(p^6) for pion-pion and to O(p^3) for pion-nucleon scattering are…

高能物理 - 唯象学 · 物理学 2009-10-30 Gerhard Ecker

Chiral perturbation theory gives direct and unambiguous predictions for the form of various two-point hadronic correlators at low momentum in terms of a finite set of couplings in a chiral Lagrangian. In this paper we study the feasibility…

高能物理 - 格点 · 物理学 2016-09-01 A. Duncan , S. Pernice , J. Yoo

In this talk, I address the comparison between results from lattice QCD computations and Chiral Perturbation Theory (ChPT). I briefly discuss how ChPT can be adapted to the much-used quenched approximation and what it tells us about the…

高能物理 - 唯象学 · 物理学 2009-10-30 Maarten Golterman

Recent results on pion physics from lattice QCD are reviewed. We discuss quark mass dependences of pion mass and decay constant and compare them with the predictions from chiral perturbation theory. In particular we focus on the convergence…

高能物理 - 格点 · 物理学 2014-11-20 Sinya Aoki

We calculate isospin 2 pion-pion scattering in chiral perturbation theory for a partially quenched, mixed action theory with Ginsparg-Wilson valence quarks and staggered sea quarks. We point out that for some scattering channels, the…

高能物理 - 格点 · 物理学 2007-05-23 Jiunn-Wei Chen , Donal O'Connell , Ruth S. Van de Water , Andre Walker-Loud

Effective field theories provide a formalism for categorizing low-energy effects of a high-energy fundamental theory in terms of the low-energy degrees of freedom. This process has been well established in mapping the fundamental theory of…

高能物理 - 格点 · 物理学 2015-03-17 Michael I. Buchoff

Peripheral nucleon-nucleon scattering is analysed in the framework of an effective field theory. Distorted-wave methods are used to remove the effects of one-pion exchange. Two-pion exchange and recoil corrections to one-pion exchange are…

核理论 · 物理学 2009-11-10 Michael C. Birse , Judith A. McGovern

We discuss convergence issues as well as short distance constraints on the deuteron wave functions based on chiral perturbation theory relevant to pion deuteron scattering. Non-analytical terms arise in the multiple scattering series for…

核理论 · 物理学 2007-05-23 M. Pavon Valderrama , E. Ruiz Arriola

Multi-particle states with additional pions are expected to be a non-negligible source of excited-state contamination in lattice simulations at the physical point. It is shown that baryon chiral perturbation theory can be employed to…

高能物理 - 格点 · 物理学 2017-05-30 Oliver Bar

The quenched approximation for QCD is, at present and in the foreseeable future, unavoidable in lattice calculations with realistic choices of the lattice spacing, volume and quark masses. In these lectures, I review the analytic study of…

高能物理 - 格点 · 物理学 2014-11-17 Maarten F. L. Golterman

The magnetic polarizability of the neutral pion has been calculated in the background magnetic-field formalism of Lattice QCD. In this investigation, the chiral extrapolation of these lattice results is considered in a formalism preserving…

核理论 · 物理学 2021-01-04 Fangcheng He , D. B. Leinweber , A. W. Thomas , P. Wang

We study the difficulties associated with detecting chiral singularities predicted by chiral perturbation theory (ChPT) in lattice QCD. We focus on the physics of the remnant O(2) chiral symmetry of staggered fermions in the strong coupling…

高能物理 - 格点 · 物理学 2016-09-01 Shailesh Chandrasekharan , Costas G. Strouthos

By matching 1/m^2 divergences in finite-volume two-point correlation functions of the scalar or pseudoscalar densities with those obtained in chiral perturbation theory, we derive a relation between the Dirac operator zero-mode…

高能物理 - 格点 · 物理学 2009-11-10 L. Giusti , P. Hernandez , M. Laine , P. Weisz , H. Wittig

Several physical problems in particle physics, nuclear physics, and astrophysics require information from non-perturbative QCD to gain a full understanding. In some cases the most reliable technique for quantitative results is to carry out…

高能物理 - 格点 · 物理学 2016-11-23 Andreas S. Kronfeld

Lattice QCD studies of hadron-hadron interactions are performed by computing the energy levels of the system in a finite box. The shifts in energy levels proportional to inverse powers of the volume are related to scattering parameters in a…

高能物理 - 格点 · 物理学 2014-11-17 Paulo F. Bedaque , Ikuro Sato , Andre Walker-Loud

We use lattice field theory to study the finite-volume energy spectrum of the $\pi\pi$ system in $SU(2)$ chiral effective field theory (ChEFT) at leading order in the chiral expansion. \hl{This finite-volume spectrum can be directly related…

高能物理 - 格点 · 物理学 2026-03-03 Cameron Cianci , Luchang Jin , Joshua Swaim

Chiral perturbation theory makes definitive predictions for the extrinsic behavior of hadrons in external electric and magnetic fields. Near the chiral limit, the electric and magnetic polarizabilities of pions, kaons, and nucleons are…

高能物理 - 格点 · 物理学 2015-05-30 W. Detmold , B. C. Tiburzi , A. Walker-Loud

Recent work in low energy pion physics is reviewed. One of the exciting new developments in this field is that simulations of QCD on a lattice now start providing information about the low energy structure of the continuum theory, for…

高能物理 - 唯象学 · 物理学 2017-08-23 H. Leutwyler

In these proceedings we address the computation of quark-line disconnected diagrams in lattice QCD. The evaluation of these diagrams is required for many phenomenologically interesting observables, but suffers from large statistical errors…

高能物理 - 格点 · 物理学 2020-01-27 Leonardo Giusti , Tim Harris , Alessandro Nada , Stefan Schaefer