Meson deformation by magnetic fields in lattice QCD

Abstract

We study light meson properties in a magnetic field, focusing on a charged pion and a charged and polarized rho meson, in quenched lattice QCD. The gauge-invariant density-density correlators are calculated to investigate the deformation caused by the magnetic field. We find that these mesons acquire elongated shapes along the magnetic field. The magnitude of the deformation is about 10-20 % when the strength of the magnetic field is of the order of the squared unphysical pion mass.

Chiral condensates and screening masses of neutral pseudoscalar mesons in thermomagnetic QCD medium

“…Examples of such an anisotropy in magnetic fields can also be seen e.g. in the electric conductivity [63], heavy quark potential [64] and meson deformations [65]. In our current study we focus on the spatial correlator separated in the direction that is parallel to the direction of the magnetic field, i.e.…”

Hadronic Paschen-Back effect in P-wave charmonia under strong magnetic fields

“…It is interesting to examine the relation between HPBE and other physics such as S-wave observables, [30][31][32][33][34][35][36][37][38][39][40][41] D meson observables, 13,34,[42][43][44][45] and heavy-quark diffusion. [46][47][48][49] The deformation of wave functions can be observed by using lattice QCD simulations, 50 too.…”

A review of quarkonia under strong magnetic fields

“…Wave function deformation under magnetic fields can be measured by lattice QCD simulations as in Ref. [62].…”

“…Lattice simulations can numerically extract the mass spectra, wave function profiles, and spectral functions of hadrons, so that through such observables, the mass spectra taking into account spin mixing and level repulsions and the deformation of the wave functions can be elucidated (see Refs. [62,[129][130][131][132][133][134][135][136] for charged or neutral pions, Refs. [62, 130-132, 134, 137] for charged or neutral ρ mesons, and Ref.…”