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The Schwinger–Dyson equations (SDEs) or Dyson–Schwinger equations, named after Julian Schwinger and Freeman Dyson, are general relations between correlation functions in quantum field theories (QFTs).
The Maris-Tandy model can be applied to solve for the structure of pions, kaons, and a selection of vector mesons from the homogeneous Bethe-Salpeter equation [1]. [2] It can also be used to solve for the quark-photon vertex from the inhomogeneous Bethe-Salpeter equation, [3] for the elastic form factors of pseudoscalar mesons, [4] [5] and for the radiative transitions of mesons. [6]
Defining equation (physical chemistry) List of equations in classical mechanics; Table of thermodynamic equations; List of equations in wave theory; List of electromagnetism equations; List of relativistic equations; List of equations in fluid mechanics; List of equations in gravitation; List of photonics equations; List of equations in quantum ...
The technique of renormalization, suggested by Ernst Stueckelberg and Hans Bethe and implemented by Dyson, Feynman, Schwinger, and Tomonaga compensates for this effect and eliminates the troublesome infinities. After renormalization, calculations using Feynman diagrams match experimental results with very high accuracy.
By utilizing the interaction picture, one can use time-dependent perturbation theory to find the effect of H 1,I, [15]: 355ff e.g., in the derivation of Fermi's golden rule, [15]: 359–363 or the Dyson series [15]: 355–357 in quantum field theory: in 1947, Shin'ichirō Tomonaga and Julian Schwinger appreciated that covariant perturbation ...
These directly corresponded (through the Schwinger–Dyson equation) to the measurable physical processes (cross sections, probability amplitudes, decay widths and lifetimes of excited states) one needs to be able to calculate. This revolutionized how quantum field theory calculations are carried out in practice.
Julian Schwinger, winner of the 1965 Nobel Prize in Physics.Original caption: "His laboratory is his ballpoint pen." Julian Seymour Schwinger (/ ˈ ʃ w ɪ ŋ ər /; February 12, 1918 – July 16, 1994) was a Nobel Prize-winning American theoretical physicist.
Two solutions of these equations for the same current configuration differ by a solution of the vacuum wave equation = In this form it is clear that the components of the potential separately satisfy the Klein–Gordon equation , and hence that the Lorenz gauge condition allows transversely, longitudinally, and "time-like" polarized waves in ...