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Lattice radial quantization: 3D Ising
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DOI：10.1016/j.physletb.2013.03.009.png)
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Lattice radial quantization is introduced as a nonperturbative method intended to numerically solve Euclidean conformal field theories that can be realized as fixed points of known Lagrangians. As an example, we employ a lattice shaped as a cylinder with a 2D Icosahedral cross-section to discretize dilatations in the 3D Ising model. Using the integer spacing of the anomalous dimensions of the first two descendants (l = 1, 2), we obtain an estimate for eta = 0.034(10). We also observed small deviations from integer spacing for the 3rd descendant, which suggests that a further improvement of our radial lattice action will be required to guarantee conformal symmetry at the Wilson-Fisher fixed point in the continuum limit. (C) 2013 Elsevier B.V. All rights reserved.
Keyword:
MODEL
UNIVERSALITY
DYNAMICS
SYSTEMS
期刊
IF:
4.5
论文数:
3.2W
被引数:
7.3W
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