Interpolation Parameter and Expansion for the Three Dimensional Non-Trivial Scalar Infrared Fixed Point

الأصل · EN

We compute the non--trivial infrared ϕ⁴₃--fixed point by means of an interpolation expansion in fixed dimension. The expansion is formulated for an infinitesimal momentum space renormalization group. We choose a coordinate representation for the fixed point interaction in derivative expansion, and compute its coordinates to high orders by means of computer algebra. We compute the series for the critical exponent ν up to order twenty five of interpolation expansion in this representation, and evaluate it using, Borel--, Borel--conformal--, and Dlog-- resummation. The resummation returns 0.6262(13) as the value of ν.