Pasupathy , J and Singh, CA (1978) Partially conserved axial-vector current inS-matrix theory. In: Pramana - Journal of Physics, 10 (5). pp. 537-544.
theory.pdf - Published Version
Mandelstamï¿½s argument that PCAC follows from assigning Lorentz quantum numberM=1 to the massless pion is examined in the context of multiparticle dual resonance model. We construct a factorisable dual model for pions which is formulated operatorially on the harmonic oscillator Fock space along the lines of Neveu-Schwarz model. The model has bothm ? andm ? as arbitrary parameters unconstrained by the duality requirement. Adler self-consistency condition is satisfied if and only if the conditionm?2?m?2=1/2 is imposed, in which case the model reduces to the chiral dual pion model of Neveu and Thorn, and Schwarz. The Lorentz quantum number of the pion in the dual model is shown to beM=0.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Indian Academy of Sciences.|
|Keywords:||Partially conserved axial-vector current;Lorentz quantum number;dual pion model;Adler zeros.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Centre for Theoretical Studies|
|Date Deposited:||22 Sep 2010 10:43|
|Last Modified:||22 Sep 2010 10:43|
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