Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 110, Issue 3-6, Pages 503-518Publisher
SPRINGER
DOI: 10.1023/A:1022143331697
Keywords
branched polymers; Yang-Lee edge; repulsive-core singularity; dimensional reduction; hard rods
Categories
Ask authors/readers for more resources
In [ BI01] we have proven that the generating function for self- avoiding branched polymers in D+ 2 continuum dimensions is proportional to the pressure of the hard- core continuum gas at negative activity in D dimensions. This result explains why the critical behavior of branched polymers should be the same as that of the iphi(3) ( or Yang- Lee edge) field theory in two fewer dimensions ( as proposed by Parisi and Sourlas in 1981). In this article we review and generalize the results of [ BI01]. We show that the generating functions for several branched polymers are proportional to correlation functions of the hardcore gas. We derive Ward identities for certain branched polymer correlations. We give reduction formulae for multi- species branched polymers and the corresponding repulsive gases. Finally, we derive the massive scaling limit for the 2- point function of the one- dimensional hard- core gas, and thereby obtain the scaling form of the 2- point function for branched polymers in three dimensions.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available