14–18 Jul 2015
Kobe International Conference Center
Asia/Tokyo timezone

Spherical Finite Elements for Lattice Radial Quantization

17 Jul 2015, 17:10
20m
402 (Kobe International Conference Center)

402

Kobe International Conference Center

6-9-1 Minatojima-nakamachi, Chuo-ku, Kobe, Hyogo 650-0046, Japan
Talk Theoretical Developments Theoretical Developments

Speaker

Mr Andrew Gasbarro (Yale University)

Description

Recent efforts have been made to study conformal field theories in radial quantization on the lattice. The lattice necessarily breaks spherical symmetry down to icosahedral symmetry, so efforts must be made to restore spherical symmetry — even at the classical level — by clever construction of the action. Linear finite elements have been shown to improve the spectrum of the Laplacian. In this work, we introduce spherical finite elements, which are bounded not by chords but by great circle arcs. We compare the spectra of the linear finite element Laplacian to the spherical finite element Laplacian.

Primary author

Mr Andrew Gasbarro (Yale University)

Co-authors

Evan Weinberg (Boston University Department of Physics) Dr George Fleming (Yale University) Prof. Richard Brower (Boston University)

Presentation materials