Systematic 1{ital /N} corrections for bosonic and fermionic vector models without auxiliary fields
- Department of Physics and Centre for Non Linear Studies, University of the Witwatersrand, Wits 2050 (South Africa)
In this paper, colorless bilocal fields are employed to study the large {ital N} limit of both fermionic and bosonic vector models. The Jacobian associated with the change of variables from the original fields to the bilocals is computed exactly, thereby providing an exact effective action. This effective action is shown to reproduce the familiar perturbative expansion for the two and four point functions. In particular, in the case of fermionic vector models, the effective action accounts correctly for the Fermi statistics. The theory also is studied nonperturbatively. The stationary points of the effective action are shown to provide the usual large {ital N} gap equations. The homogeneous equation associated with the quadratic (in the bilocals) action is simply the two particle Bethe-Salpeter equation. Finally, the leading correction in 1/{ital N} is shown to be in agreement with the exact {ital S} matrix of the model. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 399931
- Journal Information:
- Physical Review, D, Vol. 54, Issue 12; Other Information: PBD: Dec 1996
- Country of Publication:
- United States
- Language:
- English
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