Improved Transfer-Matrix Schemes of Phenomenological Renormalization

Details Improved Transfer-Matrix Schemes of Phenomenological Renormalization Improved Transfer-Matrix Schemes of Phenomenological Renormalization

1999-08-18

arxiv.org/abs/hep-lat/9908019v1

Nucl.Phys.Proc.Suppl. 83 (2000) 727-729

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99(spin), 3 pages, no figures; to be published in Nucl. Phys. B (Proc. Suppl.)

Scientific paper

Different phenomenological RG transformations based on scaling relations for the derivatives of the inverse correlation length and singular part of the free-energy density are considered. These transformations are tested on the 2D square Ising and Potts models as well as on the 3D simple-cubic Ising model. Variants of RG equations yielding more accurate results than Nightingale's RG scheme are obtained. In the 2D case the finite-size equations which give the {\it exact} values of the critical point or the critical exponent are found.

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