On the calculation of critical exponents by renormalisation group techniques

A. D. Bruce*, M. Droz, A. Aharony

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The application of renormalisation group recursion relations to the calculation of critical exponents in d dimensions to second order in epsilon =4-d is discussed. It is shown that in the limit of a large scale factor b, the fixed point value, u* of the four-spin coupling constant is correctly given to second order by a renormalisation group equation in which all irrelevant variables, mass renormalisation graphs, and mass terms in the propagators are ignored. Related approximations in the calculation of the critical exponents are justified. The unexpected equality to order epsilon 2 of u* and u0c, the Feynman graph coupling constant, is discussed.

Original languageEnglish
Article number005
Pages (from-to)3673-3685
Number of pages13
JournalJournal of Physics C: Solid State Physics
Issue number20
StatePublished - 1974
Externally publishedYes


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