2022/12/19 by Lena Funcke, Funcke, L., Christiane Franziska Groß +9 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum Physics (quant-ph) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2212.09627
openalex publication_date 2022/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Hamiltonian limit of lattice gauge theories can be found by extrapolating the results of anisotropic lattice computations, i.e., computations using lattice actions with different temporal and spatial lattice spacings (at≠ as), to the limit of at→ 0. In this work, we present a study of this Hamiltonian limit for a Euclidean U(1) gauge theory in 2+1 dimensions (QED3), regularized on a toroidal lattice. The limit is found using the renormalized anisotropy ξR=at/as, by sending ξR → 0 while keeping the spatial lattice spacing constant. We compute ξR in 3 different ways: using both the ``normal'' and the ``sideways'' static quark potential, as well as the gradient flow evolution of gauge fields. The latter approach will be particularly relevant for future investigations of combining quantum computations with classical Monte Carlo computations, which requires the matching of lattice results obtained in the Hamiltonian and Lagrangian formalisms.