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

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Main Authors: Hernández, Luis A., Martínez-Sánchez, Juan D., Zamora, R.
Format: Preprint
Published: 2025
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author Hernández, Luis A.
Martínez-Sánchez, Juan D.
Zamora, R.
author_facet Hernández, Luis A.
Martínez-Sánchez, Juan D.
Zamora, R.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_08051
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Screening rho-meson mass in the presence of strong magnetic fields
Hernández, Luis A.
Martínez-Sánchez, Juan D.
Zamora, R.
High Energy Physics - Phenomenology
High Energy Physics - Theory
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.
title Screening rho-meson mass in the presence of strong magnetic fields
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2502.08051