The Theory of Nonrenormalizable Interactions. 1. The Large N Expansion
Mar, 197521 pages
Published in:
- Nucl.Phys.B 100 (1975) 368-388
- Published: 1975
Report number:
- INFN-ROME-621
Citations per year
Abstract: (Elsevier)
A particular class of non-renormalizable interactions is studied in the infinite cut-off limit. In this paper we consider the quadrilinear interaction of an N -component field; the Lagrangian is invariant under the action of the O( N ) group. The Green functions are expanded in powers of 1/ N ; we prove that this expansion is finite and renormalizable at all orders in not too high dimensions, the outputs are not C ∞ in the coupling constant around the origin: this property explains why divergences are present in the standard perturbative expansion. The interactions of both spin-zero and spin - 1 2 fields have been studied: peculiar problems arise in the case of a current-current interaction.- FIELD THEORY: CRITICAL PHENOMENA
- RENORMALIZATION
- MODEL: INTERACTION
- INTERACTION: MODEL
- GROUP THEORY: O(N)
- COUPLING CONSTANT: ANALYTIC PROPERTIES
- PERTURBATION THEORY
- BOSON: INTERACTION
- INTERACTION: BOSON
- FERMION: INTERACTION
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