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arXiv · hep-th/9607042

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

Christian Wieczerkowski·Juri Rolf
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Abstract

We compute the non--trivial infrared $ϕ^4_3$--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 \pade, Borel--\pade, Borel--conformal--\pade, and Dlog--\pade resummation. The resummation returns $0.6262(13)$ as the value of $ν$.

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Christian Wieczerkowski, Juri Rolf. 1996-07-05. Interpolation Parameter and Expansion for the Three Dimensional Non-Trivial Scalar Infrared Fixed Point. https://doi.org/10.1007/bf02765546

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