High-accuracy scaling exponents in the local potential approximation

Details High-accuracy scaling exponents in the local potential approximation High-accuracy scaling exponents in the local potential approximation

2007-01-18

arxiv.org/abs/hep-th/0701172v2

Nucl.Phys.B783:213-226,2007

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 7 figures, comparison and discussion/conclusions sharpened, references added

Scientific paper

10.1016/j.nuclphysb.2007.03.036

We test equivalences between different realisations of Wilson's renormalisation group by computing the leading, subleading, and anti-symmetric corrections-to-scaling exponents, and the full fixed point potential for the Ising universality class to leading order in a derivative expansion. We discuss our methods with a special emphasis on accuracy and reliability. We establish numerical equivalence of Wilson-Polchinski flows and optimised renormalisation group flows with an unprecedented accuracy in the scaling exponents. Our results are contrasted with high-accuracy findings from Dyson's hierarchical model, where a tiny but systematic difference in all scaling exponents is established. Further applications for our numerical methods are briefly indicated.

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