Quantum electrodynamics and renormalization theory in the infinite momentum frame

Atomic Physics and Quantum Electrodynamics in the Infinite Momentum Frame*

.Over the past few years it has been shown that the use of an “infinite momentum’7 Lorentz frame1 has remarkable advantages for calculations in elementary particle physics and field theory, especially in the areas of current algebra sum rules, 2 parton models, 3, 4 and eikonal scattering.5,6 One important advantage is that it allows a straightforward application of the impulse and incoherence a...

Massive Quantum Electrodynamics in the Infinite - Momentum Frame

We extend an earlier canonical formulation of quantum electrodynamics in the infinite--momentum frame by replacing the photons by massive vector mesons. The structure of the theory remains nearly the same except that a new term appears in the infinite-momentum Hamiltonian describing the emission of helicity zero vector mesons with an amplitude proportional to the meson mass. (Submitted to Phys....

QUANTUM ELECTRODYNAMICS AT INFINITE MOMENTUM: SCATTERING FROM AN EXTERNAL FIELDt

Using a formulation of quantum electrodynamics in the infinite momentum frame, we develop a theory to describe the scattering of energetic electrons or >” photons off an external field. A physical picture emerges which proves to be a realization of Feymnan’s lfparton” ideas. In this picture the incoming electron is composed of bare constituents (the quanta of the Schroedinger fields) which, at ...

Quantum Electrodynamics of Casimir Momentum: Momentum of the Quantum Vacuum?

Renormalization of Quantum Electrodynamics and Hopf Algebras

In 1999, A. Connes and D. Kreimer have discovered the Hopf algebra structure on the Feynman graphs of scalar field theory. They have found that the renormalization can be interpreted as a solving of some Riemann — Hilbert problem. In this work a generalization of their scheme to the case of quantum electrodynamics is proposed. The action of the gauge group on the Hopf algebra of diagrams are de...