Critical indices for Dyson's asymptotically-hierarchical 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 non-linear integral equation. In our previous publication the Gaussian solution was investigated. Here we construct non-Gaussian solutions of the equation and find the expressions for critical indices connected with them. Our procedure permits us to construct meaningful ɛ-expansions.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- October 1975
- DOI:
- 10.1007/BF01608331
- Bibcode:
- 1975CMaPh..45..247B