2004/05/02 by Luisa Doplicher · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary value problem #Euclidean geometry #Formalism (music) #Hadamard transform #Mathematical analysis #Mathematical physics #Mathematics #Minkowski space #Path integral formulation #Physics #Physics of Superconductivity and Magnetism #Propagator #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum field theory #Quantum mechanics #Spacetime #gr-qc
paper · pdf · doi:10.1103/physrevd.70.064037
published as Phys.Rev. D70 (2004) 064037 · 11 pages, no figures
arxiv created 2004/05/02 · openalex publication_date 2004/09/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A generalized Tomonaga-Schwinger equation, holding on the entire boundary of a finite spacetime region, has recently been considered as a tool for studying particle scattering amplitudes in background-independent quantum field theory. The equation has been derived using lattice techniques under assumptions on the existence of the continuum limit. Here I show that in the context of continuous Euclidean field theory the equation can be directly derived from the functional integral formalism, using a technique based on Hadamard's formula for the variation of the propagator.