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

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

1995-07-15

arxiv.org/abs/hep-lat/9507016v1

Phys.Rev.Lett. 75 (1995) 4555-4558

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1103/PhysRevLett.75.4555

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.

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