Non-linear solutions of the renormalization group equations in the large-n limit
- 1 July 1977
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 10 (7) , 1175-1186
- https://doi.org/10.1088/0305-4470/10/7/015
Abstract
The renormalization group equations of Ma (1974) for the n-vector model in the limit of large n are solved exactly. The solutions are given in terms of the non-linear scaling fields of Wegner (1972), both in the trivial fixed-point representation and the non-trivial fixed-point representation. The effective exponent for the susceptibility crossover is computed and it is shown that the semi-microscopic theory of Riedel and Wegner (1974) is contained in the present theory as a lowest-order approximation in the most relevant scaling field.Keywords
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