PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Quantum Counter-Terms for Lattice Field Theory on Curved Manifolds
E. Owen*, C. Berger, R.C. Brower, G. Fleming, A. Gasbarro and T. Raben
Full text: pdf
Pre-published on: May 16, 2022
Published on:
Abstract
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. 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 $S^2$ and $S^2 \times \mathbb{R}$ in the weak coupling regime. Here we consider the construction of non-perturbative local counter-terms in an attempt to approach the strong coupling Wilson-Fisher IR fixed point.
DOI: https://doi.org/10.22323/1.396.0215
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.