01-255 David C. Brydges and John Z. Imbrie

Branched Polymers and Dimensional Reduction (53K, latex with 3 ps figures) Jul 9, 01

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We establish an exact isomorphism between self-avoiding branched polymers in D+2 continuum dimensions and the hard-core continuum gas at negative activity. We review conjectures and results on critical exponents for D+2 = 2,3,4 and show that they are corollaries of our result. We explain the connection (first proposed by Parisi and Sourlas) between branched polymers in D+2 dimensions and the Yang-Lee edge singularity in D dimensions.

Files: 01-255.src( 01-255.comments , 01-255.keywords , brpol.tex , g5-1.eps , graph5.eps , graph6a.eps )