• Collective field in Hamiltonian and Lagrangian (path-integral) approach: An application to O(N) Heisenberg spin operator

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/018/02/0157-0173

    • Keywords

       

      Collective field; 1/N expansion; non-linear sigma model; mass-gap; beta-function; path integral method

    • Abstract

       

      Collective field approach to O(N) Heisenberg spin system is discussed. Hamiltonian formulation is reviewed and connection with largeN limit is shown. Collective field is then introduced in the Lagrangian path-integral formulation and 1/N corrections to various quantities like mass-gap, beta-function are computed.

    • Author Affiliations

       

      Arunabha Guha1 2

      1. Physics Department, City College of New York, 138 Street, New York, NY - 10031, USA
      2. Institute of Theoretical Physics, State University of New York at Stony Brook, Long Island, NY - 11794, USA
    • Dates

       
  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.