TY - JOUR

T1 - On the calculation of critical exponents by renormalisation group techniques

AU - Bruce, A. D.

AU - Droz, M.

AU - Aharony, A.

PY - 1974

Y1 - 1974

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=34247240686&partnerID=8YFLogxK

U2 - 10.1088/0022-3719/7/20/005

DO - 10.1088/0022-3719/7/20/005

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:34247240686

SN - 0022-3719

VL - 7

SP - 3673

EP - 3685

JO - Journal of Physics C: Solid State Physics

JF - Journal of Physics C: Solid State Physics

IS - 20

M1 - 005

ER -