L. A. Hernández, Juan D. Martínez-Sánchez, R. Zamora
{"title":"Rho-meson screening mass in the presence of strong magnetic fields","authors":"L. A. Hernández, Juan D. Martínez-Sánchez, R. Zamora","doi":"10.1103/physrevd.111.096019","DOIUrl":null,"url":null,"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</a:mi>0</a:mn></a:msub>=</a:mo>0</a:mn></a:math> and <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:msub><c:mi>p</c:mi><c:mo>⊥</c:mo></c:msub><c:mo stretchy=\"false\">→</c:mo><c:mn>0</c:mn></c:math>) and the perpendicular screening mass (<f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:msub><f:mi>p</f:mi><f:mn>0</f:mn></f:msub><f:mo>=</f:mo><f:mn>0</f:mn></f:math> and <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:msub><h:mi>p</h:mi><h:mo stretchy=\"false\">∥</h:mo></h:msub><h:mo stretchy=\"false\">→</h:mo><h:mn>0</h:mn></h:math>). 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. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"20 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.096019","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
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 (p0=0 and p⊥→0) and the perpendicular screening mass (p0=0 and p∥→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. Published by the American Physical Society2025
期刊介绍:
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
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Electroweak interactions,
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Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.