Quantum Counter-Terms for Lattice Field Theory on Curved Manifolds

Authors

Evan K. Owen, Boston University
Casey E. Berger, Smith CollegeFollow
Richard C. Brower, Boston University
George T. Fleming, Yale University
Andrew D. Gasbarro, University of Bern
Timothy G. Raben, Michigan State University

Document Type

Conference Proceeding

Publication Date

7-8-2022

Publication Title

Proceedings of Science

Abstract

We present the necessity of counter-terms for Quantum Finite Element (QFE) simulations of ϕ4 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 ϕ4 theory on the manifolds S2 and S2 × R in the weak coupling regime [1, 2]. Here we consider the construction of non-perturbative local counter-terms in an attempt to approach the strong coupling Wilson-Fisher IR fixed point.

Volume

396

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Rights

© Copyright owned by the author(s)

Comments

Archived as published.

Recommended Citation

Owen, Evan K.; Berger, Casey E.; Brower, Richard C.; Fleming, George T.; Gasbarro, Andrew D.; and Raben, Timothy G., "Quantum Counter-Terms for Lattice Field Theory on Curved Manifolds" (2022). Physics: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/phy_facpubs/97