A Quantum Field Theory for the interaction of pions and rhos

2024/03/26 by P. Moodley, Moodley, Preshin
Medicine · Physics and Astronomy · #Biofield Effects and Biophysics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2403.18095

openalex publication_date 2024/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We extend the Kroll-Lee-Zumino model in its particle content to include the charged rho vector mesons and the neutral pion meson. This entailed using the larger SU(2) gauge group. The masses for the vector mesons were generated via spontaneous symmetry breaking using the Higgs mechanism. The Lagrangian was then quantized and gauge fixed using the generalized class of R_ξ gauges. Tree scattering lengths were calculated for pion-pion scattering and the values for the a⁰₀ and a²₀ scattering lengths are found to be comparable with experiment. The one particle irreducible diagrams that contribute to the one loop corrections to the tree scattering lengths are renormalized.

Related

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• Non-Abelian quantum field theory of pionic strong interactions
• Rho-Like Mesons from Analysis of the Pion-Pion Scattering
• Mesons of the rho-family in the P-wave of pion-pion scattering
• Scalar form factor of the pion in the Kroll-Lee-Zumino field theory