Speaker
Prof.
Richard Richard Brower
(Boston University)
Description
A Quantum Finite Element (QFE) Lagrangian is formulated for
a general simplicial complex approximation to a smooth Euclidean
Riemann manifold. The construction is applied to Wilson Dirac fermions
with the appropriate lattice spin connection and to phi 4th-theory
with QFE counter terms required for these theories to converge in the
continuum limit. Numerical tests are given for the Wilson-Fisher
fixed point in 2D with comparison to the exact solution of the Ising CFT on
the two sphere and for the 3D phi 4th-theory in radial quantization.
Potential future applications to more general 3D conformal field theories and 4D
Beyond the Standard Model (BSM) gauge theories near the conformal window are
suggested.
Primary author
Prof.
Richard Richard Brower
(Boston University)
Co-authors
Mr
Andrew Gasbarro
(Yale University)
Mr
Chung-I Tan
(Brown University)
Dr
Evan Weinberg
(Boston University)
Dr
George Fleming
(Yale University)
Mr
Timoty Raben
(Brown University)
