2023/02/04 by Brenden McDearmon, McDearmon, Brenden
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Boundary (topology) #Computational Physics (physics.comp-ph) #Computer science #Cosmology and Gravitation Theories #Ergodicity #Euclidean geometry #Euclidean space #FOS: Physical sciences #Flow (mathematics) #Geometry #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Mathematical analysis #Mathematics #Path integral formulation #Phase space #Physics #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Space (punctuation) #Symplectic geometry
paper · pdf · doi:10.48550/arxiv.2303.12666
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2023/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A variational phase space is constructed for a system of fields on Euclidean space with periodic boundary conditions. An extended action functional is defined such that the Euler-Lagrange equations generate a symplectic flow on the variational phase space. This symplectic flow is numerically integrated as it evolves with respect to the variational parameter. Assuming ergodicity, the resulting flow samples the Euclidean path integral.