Speaker
Evan Owen
(Boston University)
Description
We present the necessity of counter terms for Quantum Finite Element (QFE) simulations of $\phi^4$ theory on non-trivial simplicial manifolds with semi-regular lattice spacing. In particular, by computing the local cut-off dependence of UV divergent diagrams we found that the symmetries of the continuum theory are restored for $\phi^4$ theory on the manifolds $\mathbb{S}^2$ and $\mathbb{R} \times \mathbb{S}^2$. Here we consider the construction of non-perturbative local counter terms in an attempt go to larger dimensionless lattice coupling closer to the strong coupling Wilson-Fisher IR fixed point.
Primary authors
Evan Owen
(Boston University)
Casey Berger
(Boston University)
Richard Brower
(Boston University)
George Fleming
(Yale University)
Andrew David Gasbarro
(Universität Bern)
Timothy Raben
(University of Kansas)
