Critical Behavior of Branched Polymers and the Lee-Yang Edge Singularity

Giorgio Parisi and Nicolas Sourlas
Phys. Rev. Lett. 46, 871 – Published 6 April 1981
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Abstract

The exponents for large branched dilute polymers (which are also connected with the exponents of the lattice animals) are related in D dimensions to the exponents of the Lee-Yang edge singularity of the Ising model in D2 dimensions. From the exact solution of the Ising model in zero and one dimension, one gets the polymer exponents in two and three dimensions, θ(D=2)=1 and θ(D=3)=32.

  • Received 29 December 1980

DOI:https://doi.org/10.1103/PhysRevLett.46.871

©1981 American Physical Society

Authors & Affiliations

Giorgio Parisi

  • Instituto di Fisica della Facolta di Ingegneria, Università degli Studi di Roma, I-00185 Roma, Italy, and Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Frascati, I-00044 Frascati, Italy

Nicolas Sourlas

  • Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, F-75231 Paris 05, France

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Vol. 46, Iss. 14 — 6 April 1981

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