Screening rho-meson mass in the presence of strong magnetic fields

TL;DR

This paper investigates how strong magnetic fields affect the screening mass of the neutral rho-meson using the KLZ model, revealing mode-dependent behaviors and contributing to understanding QCD in extreme environments.

Contribution

The study introduces a detailed analysis of rho-meson screening masses in strong magnetic fields, considering tensor structures and Landau level effects, which is novel in this context.

Findings

Zero and perpendicular modes increase with magnetic field strength.

Parallel mode remains approximately constant regardless of magnetic field.

Distinct behaviors of screening masses provide insights into vector mesons in magnetized media.

Abstract

We study the screening mass of the neutral rho-meson in the presence of strong magnetic fields using the Kroll-Lee-Zumino (KLZ) model. The rho-meson self-energy is computed at one-loop order within the lowest Landau level (LLL) approximation, considering the magnetic field as the dominant energy scale. Due to Lorentz symmetry breaking induced by the external field, we decompose the self-energy into three independent tensor structures, which give rise to three distinct modes. Additionally, the four-momentum splits into parallel and perpendicular components, leading to two types of screening masses: the parallel screening mass ( $p_0=0$ and $p_\perp \to 0$ ) and the perpendicular screening mass ( $p_0=0$ and $p_\parallel \to 0$ ). Our results show that the zero and perpendicular modes exhibit a monotonically increasing behavior with the magnetic field strength, whereas the parallel mode remains essentially constant. These findings provide new insights into the behavior of vector mesons in strongly magnetized media, with implications for QCD under extreme conditions.