Non-perturbative evolution equations for the tricritical theory

Details Non-perturbative evolution equations for the tricritical theory Non-perturbative evolution equations for the tricritical theory

1996-12-23

arxiv.org/abs/hep-th/9612227v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, REVTEX, no figures

Scientific paper

The N component scalar tricritical theory is considered in a non-perturbative setting. We derive non-perturbative beta functions for the relevant couplings in $d\leq 3$. The beta functions are obtained through the use of an exact evolution equation for the so called effective average action. In d=3 it is established the existence of an ultraviolet stable fixed point for N>4. This confirms earlier results obtained using the 1/N expansion where such a fixed point is believed to exist at least for $N\gtrsim 1000$.

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