Speaker
Prof.
Richard Brower
(Boston University)
Description
Viable non-perturbative methods for quantum field theories on curved
manifold are difficult. By adapting features from both the
traditional finite element methods (FEM) and simplicial Regge
calculus we are developing a Quantum Finite Element Method(QFEM).
To test the QFEM approach, we study the $\lambda \phi^4$ on the
simplicial lattice for the Riemann Sphere. To reach the
Wilson-Fisher fixed point in the continuum requires modifying the
lattice Lagrangian by a counter terms which cancels the ultraviolet
distortions of classical FEIM simplicial lattice. In addition
Fermions are formulated on the Riemann sphere. Both are compared
with the exact solutions to Ising $c = 1/2$ 2D CFT field
theory. Future directions and application are entertained.
Primary author
Prof.
Richard Brower
(Boston University)
Co-authors
Dr
George Fleming
(Yale University)
Dr
Michael Cheng
(Boston University)
