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Il Nuovo Cimento (1955-1965)

, Volume 38, Issue 4, pp 1644–1648 | Cite as

Infra-red behaviour of the wave function renormalization constant in covariant gauges

  • R. Perrin
Article
  • 13 Downloads

Summary

The techniques developed in a previous paper (1), for treating soft photons in quantum electrodynamics by coupling them to an equivalent classical current, are used to study the infra-red behaviour of Z2. When the photon’s Green’s function is of the form {ie1644-01}, it is found that the second-order infra-red divergence of Z2 exponentiates in such a way that, so far as infra-red effects are concerned, Z2 is zero for λ<-2, finite for λ =-2, and infinite for λ >- 2.

Riassunto

Si usano le tecniche sviluppate in un articolo precedente per trattare i fotoni molli in elettrodinamica quantistica accoppiandoli ad una corrente olassioa équivalente, per studiare il comportamento all’infrarosso di Z2. Quando la funzione di Green del fotone Υ è della forma {ie1648-01}, si trova che la divergenza infrarossa del secondo ordine di Z2 assume esponenti tali che, per quanto concerne gli effetti infra-rossi, Z2 è zero per λ<-2, finito per λ =-2 ed inflnito per λ>-2.

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Reference

  1. (1).
    R. Perrin andE. L. Lomon:Annals of Physics (to be published), referred to as I.Google Scholar

Copyright information

© Società Italiana di Fisica 1965

Authors and Affiliations

  • R. Perrin
    • 1
  1. 1.Laboratory for Nuclear Science and Physics DepartmentMassachusetts Institute of TechnologyCambridge

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