The stability of a cubic fixed point in three dimensions from the renormalization group

Details The stability of a cubic fixed point in three dimensions from the renormalization group The stability of a cubic fixed point in three dimensions from the renormalization group

2000-05-04

arxiv.org/abs/cond-mat/0005087v1

J. Phys. A: Math. Gen. 33 (2000) 3121-3135

Physics

Condensed Matter

Statistical Mechanics

18 pages, LaTeX, 5 PostScript figures

Scientific paper

10.1088/0305-4470/33/16/306

The global structure of the renormalization-group flows of a model with isotropic and cubic interactions is studied using the massive field theory directly in three dimensions. The four-loop expansions of the $\bt$-functions are calculated for arbitrary $N$. The critical dimensionality $N_c=2.89 \pm 0.02$ and the stability matrix eigenvalues estimates obtained on the basis of the generalized Pad$\acute{\rm e}$-Borel-Leroy resummation technique are shown to be in a good agreement with those found recently by exploiting the five-loop $\ve$-expansions.

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