Abstract
The dual-pion model, previously constructed with and , is generalized to arbitrary pion mass while maintaining the relation . As in the conventional dual-resonance model, the price for doing this is the introduction of ghosts. In the special case , the -pion amplitudes are shown to possess Adler zeros, and, as a consequence, to satisfy the constraints that current algebra imposes on on-mass-shell hadron amplitudes. The axial charges are explicitly constructed and shown to close with the isospin to form the algebra of SU(2) × SU(2). This model should provide a useful theoretical laboratory for studying the consequences of combining duality and current-algebra constraints. The construction of currents is a challenging problem.
- Received 25 October 1971
DOI:https://doi.org/10.1103/PhysRevD.5.886
©1972 American Physical Society