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Dual-Pion Model Satisfying Current-Algebra Constraints

John H. Schwarz

  • Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540

Phys. Rev. D 5, 886 – Published 15 February, 1972

DOI: https://doi.org/10.1103/PhysRevD.5.886

Abstract

The dual-pion model, previously constructed with mπ2=12 and mρ2=0, is generalized to arbitrary pion mass while maintaining the relation mρ2=mπ2+12. As in the conventional dual-resonance model, the price for doing this is the introduction of ghosts. In the special case mπ=0, the N-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.

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