Variational principles in renormalization theory

W. Van Saarloos, J.M.J. Van Leeuwen and A.M.M. Pruisken

Physica A: Statistical Mechanics and its Applications, 1978, vol. 92, issue 3, 323-342

Abstract: The variational principles introduced by Kadanoff et al. in the renormalization theory are analyzed. It is shown that the values for the specific heat critical exponent α which can be found by a variational method are restricted to α < 0 or α = 1 (first order transition). The reason is the confluence of the singularities in the free energy and in the variational parameters. A full implementation of the variational principle changes for the square Ising lattice the earlier obtained α = 0.001756 to α = −0.123413.

Date: 1978
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:92:y:1978:i:3:p:323-342

DOI: 10.1016/0378-4371(78)90135-8

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