TY - JOUR

T1 - Lattice radial quantization

T2 - 3D Ising

AU - Brower, R. C.

AU - Fleming, G. T.

AU - Neuberger, H.

N1 - Funding Information:
RCB acknowledges support under DOE grants DE-FG02-91ER40676 , DE-FC02-06ER41440 and NSF grants OCI-0749317 , OCI-0749202 . RCB has benefited from conversations with Joseph Minaham. GTF acknowledges partial support by the NSF under grant NSF PHY-1100905 . RCB and GTF also thank the Galileo Galilei Institute for Theoretical Physics for the hospitality and INFN for partial support during the workshop “New Frontiers in Lattice Gauge Theories”. HN acknowledges partial support by the DOE under grant number DE-FG02-01ER41165 . HN is grateful for support under the Weston visiting scientist program at the Weizmann Institute in the Faculty of Physics. HN has benefited from conversations with Micha Berkooz, Rajamani Narayanan and Adam Schwimmer.

PY - 2013/4/25

Y1 - 2013/4/25

N2 - 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.

AB - 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.

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U2 - 10.1016/j.physletb.2013.03.009

DO - 10.1016/j.physletb.2013.03.009

M3 - Article

AN - SCOPUS:84875903290

VL - 721

SP - 299

EP - 305

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4-5

ER -