2000/01/23 by A. Misra, Anuradha Misra, Misra, A.
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Chromodynamics and Particle Interactions #Superconducting Materials and Applications #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0001232
21 pages, Latex; (a) Title revised; (b) Considerable reduction in the no. of independent terms; (c) Contrary to that written in hep-ph/0002308, the previous version of this preprint did include external fields; (d) The whole idea behind this paper (and refs 1 and 5 therein) is to develop a method to construct the HBChPT Lagrangian without having to start with the BChPT Lagrangian
openalex publication_date 2000/01/23 · arxiv created 2000/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is a progress report on the extension of the analysis of hep-ph/9909498 to constructing a complete list of O(q4) terms in the presence of external fields, directly within Heavy Baryon Chiral Perturbation Theory (HBChPT) \it without having to first construct the relativistic BChPT Lagrangian and then carry out the 1\over\rm m-reduction. In addition to a phase rule to implement all symmetries including charge conjugation invariance directly at the nonrelativistic level, generalized Jacobi identities, curvature relation (that relates the commutator of two covariant derivatives to a linear combination of the traceless and isosinglet field strengths and the commutator of two axial vector building blocks), Schouten's identity and the relationship between the antisymmetrized covariant derivative - axial-(building block) vector commutator and another traceless field strength, are used to ensure linear independence of the terms and their low energy coupling constants. We first construct O(q4) terms for off-shell nucleons, and then perform the on-shell reduction, again within HBChPT.