Cancellation of infrared divergences to all orders in light front QED

Feb 20, 2014
8 pages
Published in:
  • Phys.Rev.D 89 (2014) 10, 105021
  • Published: May 22, 2014
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Abstract: (APS)
We present an all-order proof of the cancellation of infrared (IR) divergences in light-front quantum electrodynamics using a coherent state approach. It is shown, using fermion mass renormalization as an example, that the true IR divergences are eliminated to all orders in a light-front time-ordered perturbative calculation if one uses a coherent state basis instead of the usual Fock basis to calculate the Hamiltonian matrix elements.
Note:
  • 15 pages, 7 figures
  • 11.10.Ef
  • 12.20.Ds
  • 12.38.Bx
  • field theory: light front
  • mass: renormalization
  • fermion: mass
  • infrared problem
  • coherent state
  • perturbation theory