PseudoGoldstone pions in SU_{3} models
Abstract
Motivated by the masslessness of the pseudoscalar nonet in the U_{3} generalization of the BarsLane model, we develop general principles for pseudoGoldstoneBoson models of this type, and show (i) that the BarsLane model is indeed the most economical that can be constructed and (ii) that the unlocking problem for models involving SU_{3} or higher groups is quite general, and unavoidable. As for the mysterious disappearance of the pion mass, we show by oneloop calculation that the mass becomes nonzero, irrespective of the gauge coupling, i.e., that there is no higher symmetry, and also indicate a quick method of determining which fields will be massless in lowest order. A serious problem arises when the η and X^{0} are shown to remain massless with the π, while the K acquires a mass, once the vacuum symmetry is broken to SU_{2} ⊗ U_{1}; although it is possible to generate a mass for the X^{0}, it appears very unlikely that the ηπ degeneracy in lowest order can be removed in a realistic model based on these lines.
 Publication:

Physical Review D
 Pub Date:
 November 1974
 DOI:
 10.1103/PhysRevD.10.3501
 Bibcode:
 1974PhRvD..10.3501D