Evidence for Complex Subleading Exponents from the High-Temperature Expansion of the Hierarchical Ising Model

Abstract

Using a renormalization group method, we calculate 800 high-temperature coefficients of the magnetic susceptibility of the hierarchical Ising model. The conventional quantities obtained from differences of ratios of coefficients show unexpected smooth oscillations with a period growing logarithmically and can be fitted assuming corrections to the scaling laws with complex exponents.

Comments: 10 pages, Latex , uses revtex. 2 figures not included (hard copies available on request)