Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-05-15
Physics
Condensed Matter
Statistical Mechanics
27 pages Latex2e, 4 figures
Scientific paper
We compute renormalization group fixed points and their spectrum in an ultralocal approximation. We study a case of two competing non-trivial fixed points for a three-dimensional real $N$-component field: the O(N)-invariant fixed point vs.~the cubic-invariant fixed point. We compute the critical value $N_{c}$ of the cubic $\phi^{4}$-perturbation at the O(N)-fixed point. The O(N) fixed point is stable under a cubic $\phi^{4}$-perturbation below $N_{c}$, above $N_{c}$ it is unstable. The critical value comes out as $2.219435
Pinn Klaus
Rehwald M.
Wieczerkowski Christian
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