Feynman Equation in Hamiltonian Quantum Field Theory
Alexander Dynin (Ohio State University)
TL;DR
This paper develops a rigorous non-perturbative approach using Feynman type integrals to solve functional Schrödinger equations in Hamiltonian quantum field theory, advancing the mathematical understanding of interacting quantum fields.
Contribution
It introduces a novel non-perturbative method employing Feynman integrals to solve functional Schrödinger equations in quantum field theory.
Findings
Successful formulation of non-perturbative Feynman integrals
Rigorous solutions to interacting field equations
Enhanced mathematical framework for quantum field analysis
Abstract
Functional Schr\"{o}dinger equations for interacting fields are solved via rigorous non-perturbative Feynman type integrals.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Noncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics