• Partially conserved axial-vector current inS-matrix theory

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      https://www.ias.ac.in/article/fulltext/pram/010/05/0537-0544

    • Keywords

       

      Partially conserved axial-vector current; Lorentz quantum number; dual pion model; Adler zeros

    • Abstract

       

      Mandelstam’s 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 bothmπ andmϱ as arbitrary parameters unconstrained by the duality requirement. Adler self-consistency condition is satisfied if and only if the conditionmϱ2mπ2=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.

    • Author Affiliations

       

      J Pasupathy1 C A Singh1 2

      1. Centre for Theoretical Studies, Indian Institute of Science, Bangalore - 560 012
      2. Physics Division, JNU Centre for Postgraduate Studies, Canchipur, Imphal - 795 003
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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