A Variational Real Space Renormalization Group Transformation Based on the Cumulant Expansion

TitleA Variational Real Space Renormalization Group Transformation Based on the Cumulant Expansion
Publication TypeJournal Article
Year of Publication1979
AuthorsShenker, S., Kadanoff L. P., & Pruisken A.. M. M.
Published inJournal of Physics A: Mathematical and General
Volume12
Issue1
Page(s)91-97
Other Numbers3487
Abstract

The first order cumulant expansion of Niemeijer and van Leeuwen (1974) is combined with a variational method to find the 'best' value of a fixed point Hamiltonian depending upon a parameter, p. A new method for calculating eigen values near this fixed point is proposed, based upon the neglect of terms proportional to the error neglected at the fixed point. This approach determines delta p/ delta K unambiguously. Calculations are carried out for a few simple models. The results are more accurate than those of most other comparably simple approaches.

Bibliographic Notes

Journal of Physics A: Mathematical and General, Vol. 12, Issue 1, pp. 91-97

Abbreviated Authors

S. Shenker, L. P. Kadanoff, and A. M. M. Pruisken

ICSI Research Group

Networking and Security

ICSI Publication Type

Article in journal or magazine