36 citations · 129 across the 18 of their papers we have counts for
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The Operator Product Expansion for Radial Lattice Quantization of 3D Theory
Venkitesh Ayyar, Richard C. Brower, George T. Fleming +4
At its critical point, the three-dimensional lattice Ising model is described by a conformal field theory (CFT), the 3d Ising CFT. Instead of carrying out simulations on Euclidean…
Radial Lattice Quantization of 3D Field Theory
Richard C. Brower, George T. Fleming, Andrew D. Gasbarro +4
The quantum extension of classical finite elements, referred to as quantum finite elements ({\bf QFE})~\cite{Brower:2018szu,Brower:2016vsl}, is applied to the radial quantization o…
Lattice Field Theory on Riemann Manifolds: Numerical Tests for the 2-d Ising CFT on
Richard C. Brower, Michael Cheng, George T. Fleming +4
We present a method for defining a lattice realization of the quantum field theory on a simplicial complex in order to enable numerical computation on a general Riemann manif…
Lattice Dirac Fermions on a Simplicial Riemannian Manifold
Richard C. Brower, George T. Fleming, Andrew D. Gasbarro +3
The lattice Dirac equation is formulated on a simplicial complex which approximates a smooth Riemann manifold by introducing a lattice vierbein on each site and a lattice spin conn…
Quantum Finite Elements for Lattice Field Theory
Richard C. Brower, George Fleming, Andrew Gasbarro +3
Viable non-perturbative methods for lattice quantum field theories on curved manifolds are difficult. By adapting features from the traditional finite element methods (FEM) and Reg…