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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…

Nuclear Theory · Physics 2021-01-04 Fangcheng He , D. B. Leinweber , A. W. Thomas , P. Wang

Drawing on recent advances in lattice-QCD background-field techniques, the magnetic polarisability of octet baryons is calculated from the first principles of QCD. The results are presented in the context of new constituent quark-model…

High Energy Physics - Lattice · Physics 2024-10-23 Thomas Kabelitz , Ryan Bignell , Waseem Kamleh , Derek Leinweber

The electric ($\alpha_\pi$) and magnetic ($\beta_\pi$) Compton polarizabilities of both the charged and the neutral pion are of fundamental interest in the low-energy sector of quantum chromodynamics (QCD). Pion polarizabilities affect the…

High Energy Physics - Phenomenology · Physics 2019-06-26 Murray Moinester , Stefan Scherer

Several new developments in the calculation and interpretation of hadron density-density correlation functions are presented. The asymptotic behavior of correlation functions is determined from a tree diagram path integral. A method is…

High Energy Physics - Lattice · Physics 2009-09-25 J. W. Negele , M. Burkardt , J. M. Grandy

Electromagnetic properties of the nucleon are explored with lattice QCD using a novel technique. Focusing on background electric fields, we show how the electric polarizability can be extracted from nucleon correlation functions. A crucial…

High Energy Physics - Lattice · Physics 2011-01-27 William Detmold , Brian C. Tiburzi , Andre Walker-Loud

We present a lattice QCD calculation of the polarizability of the neutron and other neutral hadrons that includes the effects of the background field on the sea quarks. This is done by perturbatively reweighting the charges of the sea…

High Energy Physics - Lattice · Physics 2014-10-01 Walter Freeman , Andrei Alexandru , Michael Lujan , Frank X. Lee

Knowledge of the electric polarizability is crucial to understanding the interactions of hadrons with electromagnetic fields. The neutron polarizability is very sensitive to the quark mass and is expected to diverge in the chiral limit.…

High Energy Physics - Lattice · Physics 2014-11-04 M. Lujan , A. Alexandru , W. Freeman , F. X. Lee

We review progress on hadron structure using lattice QCD simulations at or near to physical values of the QCD parameters. In particular, we discuss recent results on hadron masses, the nucleon charges, spin, gluon and quark unpolarized…

High Energy Physics - Lattice · Physics 2015-12-15 Constantia Alexandrou

Following previous works on that topic, we consider Euclidean hadronic matrix elements in position space of two spatially separated local currents on the lattice, in order to extract the $x$ dependence of parton distribution functions…

High Energy Physics - Lattice · Physics 2024-10-11 Christian Zimmermann , Andreas Schäfer

A method for computing electromagnetic properties of hadrons in lattice QCD is described and preliminary numerical results are presented. The electromagnetic field is introduced dynamically, using a noncompact formulation. Employing…

High Energy Physics - Lattice · Physics 2009-10-28 A. Duncan , E. Eichten , H. Thacker

Conventional hadron interpolating fields, which utilise gauge-covariant Gaussian smearing, are ineffective in isolating ground state nucleons in a uniform background magnetic field. There is evidence that residual Landau mode physics…

High Energy Physics - Lattice · Physics 2020-05-20 Ryan Bignell , Waseem Kamleh , Derek Leinweber

We outline an approach to calculate the transverse-momentum-dependent distribution of linearly polarized gluons inside an unpolarized hadron on the lattice with the help of large momentum effective theory. To achieve this purpose, we…

High Energy Physics - Phenomenology · Physics 2024-02-02 Shuai Zhao

A major objective of lattice QCD is the computation of hadronic matrix elements. The standard method is to use three-point and four-point correlation functions. An alternative approach, requiring only the computation of two-point…

High Energy Physics - Lattice · Physics 2022-01-21 K. U. Can , A. Hannaford-Gunn , R. Horsley , Y. Nakamura , H. Perlt , P. E. L. Rakow , E. Sankey , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

We report calculations of hadronic light-by-light scattering amplitudes via lattice QCD evaluation of Euclidean four-point functions of vector currents. These initial results include only the fully quark-connected contribution. Particular…

High Energy Physics - Lattice · Physics 2015-10-29 Jeremy Green , Nils Asmussen , Oleksii Gryniuk , Georg von Hippel , Harvey B. Meyer , Andreas Nyffeler , Vladimir Pascalutsa

We present a fit of the spin-independent electromagnetic polarisabilities of the proton to low-energy Compton scattering data in the framework of covariant baryon chiral effective field theory. Using the Baldin sum rule to constrain their…

Nuclear Theory · Physics 2014-03-19 Vadim Lensky , Judith A. McGovern

We review the current state of knowledge of the nucleon polarizabilities and of their role in nucleon Compton scattering and in hydrogen spectrum. We discuss the basic concepts, the recent lattice QCD calculations and advances in chiral…

Nuclear Theory · Physics 2016-03-23 Franziska Hagelstein , Rory Miskimen , Vladimir Pascalutsa

The lattice gauge theory technique for non-perturbative calculations in QCD is reviewed. The extraction of the continuum limit of lattice results is discussed with particular examples appropriate to hadron spectroscopy (the light hadrons…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Michael

We compute finite volume effects relevant for lattice QCD simulations using background fields. Focusing on constant electric and magnetic fields on a periodic lattice, we determine volume corrections to pion two-point functions using chiral…

High Energy Physics - Lattice · Physics 2009-05-18 Brian C. Tiburzi

We sketch the basic ideas of the lattice regularization in Quantum Field Theory, the corresponding Monte Carlo simulations, and applications to Quantum Chromodynamics (QCD). This approach enables the numerical measurement of observables at…

High Energy Physics - Phenomenology · Physics 2016-08-24 Wolfgang Bietenholz

We analyse the proton Compton-scattering differential cross section for photon energies up to 325 MeV using Chiral Effective Field Theory and extract new values for the electric and magnetic polarisabilities of the proton. Our EFT treatment…

Nuclear Theory · Physics 2013-01-25 Judith A. McGovern , Daniel R. Phillips , Harald W. Grießhammer