Lattice radial quantization: 3D Ising

R. C. Brower, G. T. Fleming, H. Neuberger

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

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 η = 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.

Original languageEnglish (US)
Pages (from-to)299-305
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume721
Issue number4-5
DOIs
StatePublished - Apr 25 2013

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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