Long range correlations in branched polymers

Abstract

We study the correlation functions in the branched polymer model. Although there are no correlations in the grand canonical ensemble, when looking at the canonical ensemble we find negative long range power like correlations. We propose that a similar mechanism explains the shape of recently measured correlation functions in the elongated phase of 4d simplicial gravity.

Latex2e 8 pages, 5 postscript figures included uses psfrag.sty suplied

References in corpus (2)

• Scaling in four dimensional quantum gravity
• Two-point functions in 4D dynamical triangulation

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• Gravity and Random Surfaces on the Lattice - A Review
• Matter Correlations in Branched Polymers
• Correlation functions and critical behaviour on fluctuating geometries
• Long-range disassortative correlations in generic random trees
• Connected Correlators in Random Geometries