Derivation of O(q^4) Effective Lagrangian in the Presence of External Fields Directly Within Heavy Baryon Chiral Perturbation Theory
| dc.creator | Misra, A. | |
| dc.date | 2000-01-23 | |
| dc.date | 2000-03-09 | |
| dc.date.accessioned | 2026-07-07T03:40:39Z | |
| dc.date.available | 2026-07-07T03:40:39Z | |
| dc.description | This is a progress report on the extension of the analysis of hep-ph/9909498 to constructing a complete list of O(q^4) 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($q^4$) terms for off-shell nucleons, and then perform the on-shell reduction, again within HBChPT. | |
| dc.description | 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 | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0001232 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0001232 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/39337 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Derivation of O(q^4) Effective Lagrangian in the Presence of External Fields Directly Within Heavy Baryon Chiral Perturbation Theory | |
| dc.type | text |