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

Abstract

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

7, Technion-PH-54-92

References in corpus (2)

• $O(N)$ Vector Field Theories in the Double Scaling Limit
• Concerning the Double Scaling Limit in the $O(N)$ Vector Model in Four-Dimensions

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• Exact Beta Functions in the Vector Model and Renormalization Group Approach
• An O(N) symmetric extension of the Sine-Gordon Equation
• Large N limit of O(N) vector models
• PT-symmetric interpretation of double-scaling
• The Gauged Vector Model in Four-Dimensions: Resolution of an Old Problem?
• Double-Scaling Limit of the O(N)-Symmetric Anharmonic Oscillator