Critical indices for Dyson's asymptoticallyhierarchical models
Abstract
It is known that the investigation of the critical point for models of the type of Dyson's hierarchical models is reduced to the solution of some nonlinear integral equation. In our previous publication the Gaussian solution was investigated. Here we construct nonGaussian solutions of the equation and find the expressions for critical indices connected with them. Our procedure permits us to construct meaningful ɛexpansions.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 October 1975
 DOI:
 10.1007/BF01608331
 Bibcode:
 1975CMaPh..45..247B