Correlation functions and critical behaviour on fluctuating geometries

Details Correlation functions and critical behaviour on fluctuating geometries Correlation functions and critical behaviour on fluctuating geometries

1997-10-20

arxiv.org/abs/hep-lat/9710070v1

Phys.Lett. B421 (1998) 86-92

Physics

High Energy Physics

High Energy Physics - Lattice

10 Pages, Latex2e, uses elsart.cls, 1 figure included

Scientific paper

10.1016/S0370-2693(98)00009-4

We study the two-point correlation function in the model of branched polymers and its relation to the critical behaviour of the model. We show that the correlation function has a universal scaling form in the generic phase with the only scale given by the size of the polymer. We show that the origin of the singularity of the free energy at the critical point is different from that in the standard statistical models. The transition is related to the change of the dimensionality of the system.

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