On the Double Scaling Limit of O(N) Vector Models in d=2

Details On the Double Scaling Limit of O(N) Vector Models in d=2 On the Double Scaling Limit of O(N) Vector Models in d=2

1992-11-29

arxiv.org/abs/hep-th/9211132v1

Phys.Lett. B300 (1993) 49-52

Physics

High Energy Physics

High Energy Physics - Theory

7, Technion-PH-54-92

Scientific paper

10.1016/0370-2693(93)90747-6

Recent interest in large N matrix models in the double scaling limit raised new interest also in O(N) vector models. The limit $N \rightarrow \infty$, correlated with the limit $g \rightarrow g_c$, results in an expansion in terms of filamentary surfaces and explicit calculations can be carried out also in dimensions $d\geq 2$. It is shown here that the absence of physical massless bound states in two dimensions sets strong constraints on this limit.

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