# Meson deformation by magnetic fields in lattice QCD

## TL;DR

This study uses quenched lattice QCD to examine how magnetic fields deform light mesons, revealing elongated shapes along the field with significant deformation at certain magnetic strengths.

## Contribution

It provides the first lattice QCD analysis of meson deformation under magnetic fields, focusing on gauge-invariant correlators for charged pions and rho mesons.

## Key findings

- Mesons become elongated along magnetic fields.
- Deformation magnitude is about 10-20% at specific field strengths.
- Deformation increases with magnetic field strength.

## 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.