A Variational Real Space Renormalization Group Transformation Based on the Cumulant Expansion
Title | A Variational Real Space Renormalization Group Transformation Based on the Cumulant Expansion |
Publication Type | Journal Article |
Year of Publication | 1979 |
Authors | Shenker, S. J., Kadanoff L. P., & Pruisken A.. M. M. |
Published in | Journal of Physics A: Mathematical and General |
Volume | 12 |
Issue | 1 |
Page(s) | 91-97 |
Other Numbers | 3487 |
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 |