Baryon self energies in the chiral loop expansion

2005/11/30 by A. Semke, M. F. M. Lutz, Matthias F. M. Lutz
Physics and Astronomy · #Baryon #Covariant transformation #High-Energy Particle Collisions Research #Mathematical physics #Octet #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quark #Renormalization #nucl-th

paper · pdf · doi:10.1016/j.nuclphysa.2006.07.043

published as Nucl.Phys.A778:153-180,2006 · 36 pages, 4 figures, 8 tables. The revised manuscript contains a proof that given any one-loop integral that arises when computing one-baryon processes it is sufficient to renormalize the scalar master-loop functions of the Passarino-Veltman reduction in a manner that the latter are compatible with the expectation of chiral counting rules

arxiv created 2006/01/17 · openalex publication_date 2006/09/08 · arxiv updated 2010/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We compute the self energies of the baryon octet and decuplet states at the one-loop level applying the manifestly covariant chiral Lagrangian. It is demonstrated that expressions consistent with the expectation of power counting rules arise if the self energies are decomposed according to the Passarino-Veltman scheme supplemented by a minimal subtraction. This defines a partial summation of the chiral expansion. A finite renormalization required to install chiral power counting rules leads to the presence of an infrared renormalization scale. Good convergence properties for the chiral loop expansion of the baryon octet and decuplet masses are obtained for natural values of the infrared scale. A prediction for the strange-quark matrix element of the nucleon is made.

Citations

• Decuplet reexamined in chiral perturbation theory
• Effective chiral theory of nucleon–nucleon scattering
• Self-consistent propagation of hyperons and antikaons in nuclear matter based on relativistic chiral SU(3) dynamics
• Connection between Feynman integrals having different values of the space-time dimension
• Chiral perturbation theory: Expansions in the mass of the strange quark
• On meson resonances and chiral symmetry
• Chiral extrapolations and the covariant small scale expansion☆☆This research is part of the EU Integrated Infrastructure Initiative Hadron Physics Project under contract number RII3-CT-2004-506078. Work supported in part by DFG (SFB/TR 16, “Subnuclear Structure of Matter”) and BMBF.
• Infrared regularization with spin-3/2 fields
• Relativistic chiral SU(3) symmetry, large-Nc sum rules and meson–baryon scattering
• Spin-flavor structure of largeNcbaryons