Abstract

LOPEZ-OSORIO, M.A.; MARTINEZ-PASCUAL, E.  and  TOSCANO, J.J.. Some comments on unitarity gauge. Rev. mex. fis. [online]. 2004, vol.50, n.2, pp.107-119. ISSN 0035-001X.

A pedagogical discussion on the unitarity gauge within the context of Hamiltonian path integral formalism is presented. A model based on the group O(N), spontaneously broken down to the subgroup O(N - 1), is used to illustrate the main aspects of this gauge-fixing procedure. Among the issues, discussed with some extent, are: (1) the structure of model's constraints following the Dirac's method, (2) the gauge-fixing procedure, using the unitarity gauge for the massive gauge fields and the Coulomb one for the massless gauge fields, (3) the absence of BRST symmetry in this gauge-fixing procedure and its implications on the renormalizability of the theory, and (4) the static role of the ghost and anti-ghost fields associated with the massive gauge fields and how their contributions can be eliminated by using the dimensional regularization scheme.

Keywords : Unitarity gauge; Hamiltonian path integra.

        · abstract in Spanish     · text in English     · English ( pdf )