Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-10-12
Phys.Lett.B504:181-187,2001
Physics
High Energy Physics
High Energy Physics - Theory
minor changes, added referencecs, to appear on Phys. Lett. B
Scientific paper
10.1016/S0370-2693(01)00273-8
The determination of the critical exponents by means of the Exact Renormalizion Group approach is still a topic of debate. The general flow equation is by construction scheme independent, but the use of the truncated derivative expansion generates a model dependence in the determination of the universal quantities. We derive new nonperturbative flow equations for the one-component, $Z_2$ symmetric scalar field to the next-to-leading order of the derivative expansion by means of a class of proper time regulators. The critical exponents $\eta$, $\nu$ and $\omega$ for the Wilson-Fisher fixed point are computed by numerical integration of the flow equations, without resorting to polynomial truncations. We show that by reducing the width of the cut-off employed, the critical exponents become rapidly insensitive to the cut-off width and their values are in good agreement with the results of entirely different approaches.
Bonanno Alfio
Zappalà Dario
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