, Volume 18, Issue 2, pp 157–173 | Cite as

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

  • Arunabha Guha
Nuclear And Particle Physics


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.


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


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Copyright information

© the Indian Academy of Sciences 1982

Authors and Affiliations

  • Arunabha Guha
    • 1
  1. 1.Physics DepartmentCity College of New YorkNew YorkUSA

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