Scaling Violation in O(N) Vector Models

Details Scaling Violation in O(N) Vector Models Scaling Violation in O(N) Vector Models

1993-10-29

arxiv.org/abs/hep-th/9310193v1

Mod.Phys.Lett. A9 (1994) 631-642

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX, TIT/HEP--229

Scientific paper

We investigate $O(N)$-symmetric vector field theories in the double scaling
limit. Our model describes branched polymeric systems in $D$ dimensions, whose
multicritical series interpolates between the Cayley tree and the ordinary
random walk. We give explicit forms of residual divergences in the free energy,
analogous to those observed in the strings in one dimension.

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