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
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Pre-published on: May 16, 2022
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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
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