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

Konstantin Varnashev
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Abstract

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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Konstantin Varnashev. 2000-05-04. The stability of a cubic fixed point in three dimensions from the renormalization group. https://doi.org/10.1088/0305-4470%2F33%2F16%2F306

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