Renormalization of gauge theories

Journal Article · Tue Jun 01 04:00:00 EDT 1976 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(76)90156-1· OSTI ID:7261545

Becchi, C; Rouet, A; Stora, R

Gauge theories are characterized by the Slavnov identities which express their invariance under a family of transformations of the supergauge type which involve the Faddeev Popov ghosts. These identities are proved to all orders of renormalized perturbation theory, within the BPHZ framework, when the underlying Lie algebra is semisimple and the gauge function is chosen to be linear in the fields in such a way that all fields are massive. An example, the SU2 Higgs Kibble model is analyzed in detail: the asymptotic theory is formulated in the perturbative sense, and shown to be reasonable, namely, the physical S operator is unitary and independent from the parameters which define the gauge function. (AIP)

• Research Organization: Centre de Physique Theorique, CNRS 31, chemin Joseph Aiguier, F-13274 Marseille Cedex 2, France
• OSTI ID: 7261545
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 98:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
CORRECTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
FUNCTIONS
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICS
QUANTUM FIELD THEORY
RADIATIVE CORRECTIONS
RENORMALIZATION
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS