Large-N Theory from the Axiomatic Point of View

Details Large-N Theory from the Axiomatic Point of View Large-N Theory from the Axiomatic Point of View

2000-09-05

arxiv.org/abs/hep-th/0009035v1

J.Math.Phys. 42 (2001) 4197-4247

Physics

High Energy Physics

High Energy Physics - Theory

46 pages, LaTeX

Scientific paper

The state space and observables for the leading order of the large-N theory are constructed. The obtained model ("theory of infinite number of fields") is shown to obey Wightman-type axioms (including invariance under boost transformations) and to be nontrivial (there are scattering processes, bound states, unstable particles etc). The considered class of exactly solvable relativistic quantum models involves good examples of theories containing such difficulties as volume divergences associated with the Haag theorem, Stueckelberg divergences and infinite renormalization of the wave function.

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