Subleading critical exponents from the renormalisation group

Details Subleading critical exponents from the renormalisation group Subleading critical exponents from the renormalisation group

2003-10-10

arxiv.org/abs/hep-th/0310101v1

Phys.Lett. B581 (2004) 263-269

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 5 figures

Scientific paper

10.1016/j.physletb.2003.11.047

We study exact renormalisation group equations for the 3d Ising universality class. At the Wilson-Fisher fixed point, symmetric and antisymmetric correction-to-scaling exponents are computed with high accuracy for an optimised cutoff to leading order in the derivative expansion. Further results are derived for other cutoffs including smooth, sharp and background field cutoffs. An estimate for higher order corrections is given as well. We establish that the leading antisymmetric corrections to scaling are strongly subleading compared to the leading symmetric ones.

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