Pion mass modification in a weak magnetic field. Issue 9 (8th January 2020)

• Record Type: Journal Article
• Authors: Ayala, Alejandro; Farias, Ricardo Luciano Sonego; Hernández‐Ortiz, Saul; Hernández, Luis Alberto; Manreza‐Paret, Daryel; Zamora, Renato
• Other Names: Zen Vasconcellos C.A. guestEditor.; Pérez Martínez A. guestEditor.; Pérez Rojas H. guestEditor.; Roth M. guestEditor.; Hess P. guestEditor.; Gonzalez Felipe R. guestEditor.; Boller Th. guestEditor.
• Is Part Of: Astronomische Nachrichten. Volume 340:Issue 9/10(2019)
• Page Start: 834
• Page End: 840
• Publication Date: 2020-01-08
• Subjects: effective QCD models -- magnetic fields -- meson properties; Astronomy -- Periodicals; 520.5
• DOI: 10.1002/asna.201913742
• Languages: English
• ISSNs: 0004-6337

Abstract

Abstract: We use the linear sigma model coupled to quarks with an explicit symmetry breaking term, to compute the one‐loop magnetic modification of the neutral pion mass, in the weak field approximation. The self‐energy, the effective, and the meson self‐coupling are computed at one‐loop order. We obtain a decreasing behavior for the neutral pion mass as the magnetic field increases. This result is in good agreement both with other effective models and lattice quantum chromodynamics (QCD) results.