Open AccessGAUGE INDEPENDENCE, UNITARITY AND RENORMALI-ZABILITY OF A SPONTANEOUSLY BROKEN MODEL IN THE PERTURBATION THEORY
Author(s) -
BoYu Hou
Publication year - 1977
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.26.317
Subject(s) - physics , unitarity , gauge boson , gauge anomaly , brst quantization , hamiltonian lattice gauge theory , supersymmetric gauge theory , quantum gauge theory , gauge fixing , lattice gauge theory , introduction to gauge theory , gauge theory , mathematical physics , quantum electrodynamics , theoretical physics , particle physics
This paper studies explicitly the Abelian spontaneously broken gauge model for scalar and gauge bosons by using perturbation expansions . It is discovered that in various renormalizable gauges (R gauge) the gauge dependent part contributed by unphysical components of inner lines in the sum of all Feynman diagrams of the same order coexists only with the outer mass shell components of outer lines. On the mass shell only the contribution by physical components is left, just as in the unitary gauge (U gauge). Thus, the identitical nature of the R gauge and U gauge on the mass shell has been shown explicitly, hence may be seen the unitarity of the R gauge. It is also shown why residue divergences appear in the U gauge, and why these residue divergences will necessarily cancal each other out, thus revealing the crypto-renormali-zability of the U gauge.