Collective field in Hamiltonian and Lagrangian (path-integral) approach: An application to O(N) Heisenberg spin operator
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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.
KeywordsCollective field 1/N expansion non-linear sigma model mass-gap beta-function path integral method
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