Partially conserved axial-vector current in S-matrix theory

Pasupathy, J ; Singh, C. A. (1978) Partially conserved axial-vector current in S-matrix theory Pramana - Journal of Physics, 10 (5). pp. 537-544. ISSN 0304-4289

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Mandelstam's argument that PCAC follows from assigning Lorentz quantum number M=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 both mπ and mp as arbitrary parameters unconstrained by the duality requirement. Adler self-consistency condition is satisfied if and only if the conditionm mp2- mπ2=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 be M=0.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Partially Conserved Axial-vector Current; Lorentz Quantum Number; Dual Pion Model; Adler Zeros
ID Code:58063
Deposited On:31 Aug 2011 12:35
Last Modified:18 May 2016 09:13

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