Neutral Vector Mesons and the Hadronic Electromagnetic Current

Norman M. Kroll, T. D. Lee, and Bruno Zumino
Phys. Rev. 157, 1376 – Published 25 May 1967
PDFExport Citation

Abstract

The question of whether the entire hadronic electromagnetic current operator can be identical with a linear combination of the renormalized field operators for the known neutral vector mesons ρ0, φ0, and ω0 is investigated in the context of a Lagrangian field theory. It is found that such an identity is completely consistent with gauge invariance, provided that these mesons are coupled only to conserved currents. The general renormalization problem of the strong interactions of these vector mesons is discussed. It is shown that the proposed identity between the hadronic electromagnetic current and the renormalized meson fields can be related to the possible identity between the unrenormalized currents generating the neutral vector mesons and those generating the photon; furthermore, this proposed identity leads to an exact relation between the entire O(e2) hadronic contribution to the photon propagator and the renormalized propagators of the neutral vector mesons, and such a relation implies, among other consequences, that to O(e2) and neglecting leptonic contributions, the ratio of the unrenormalized charge e0 and the renormalized charge e is finite. Various experimental applications are given. In particular, the analysis of φω mixing and their leptonic decay rates is made independently of the approximate validity of the SU3 symmetry.

  • Received 6 January 1967

DOI:https://doi.org/10.1103/PhysRev.157.1376

©1967 American Physical Society

Authors & Affiliations

Norman M. Kroll

  • University of California, San Diego, La Jolla, California

T. D. Lee

  • Columbia University, New York, New York

Bruno Zumino

  • New York University, New York, New York

References (Subscription Required)

Click to Expand
Issue

Vol. 157, Iss. 5 — May 1967

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Journals Archive

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×