Geometrical theory of ghost and Higgs fields and SU(2/1)

Conference · Mon Oct 01 00:00:00 EDT 1979

OSTI ID:5728658

Ne'eman, Y.; Thierry-Mieg, J.

That a Principal Fiber Bundle provides a precise geometrical representation of Yang-Mills gauge theories has been known since 1963 and used since 1975. This work presents an entirely new domain of applications. The Feynman-DeWitt-Fadeev-Popov ghost-fields required in the renormalization procedure are identified with geometrical objects in the Principal Bundle. This procedure directly yields the BRS equations guaranteeing unitarity and Slavnov-Taylor invariance of the quantum effective Lagrangian. Except for one ghost field and its variation, this entire symmetry thus corresponds to classical notions, in that it is geometrical, and completely independent of the gauge-fixing procedure, which determines the quantized Lagrangian. These results may be used to fix the signs associated with the various ghost loops of quantum supergravity. The result is based upon the identification of a geometrical Z(2) x Z(2) double-gradation of the generalized fields in supergravity: (physical/ghost) fields and (integer/half integer) spins. Then the case of a supergroup as an internal symmetry gauge is considered. Ghosts geometrically associated to odd generators may be identified with the Goldstone-Nambu Higgs-Kibble scalar fields of conventional models with spontaneous symmetry breakdown. As an example, the chiral SU(3)/sub L/ x SU(3)/sub R/ flavor symmetry is realized by gauging the supergroup Q(3).Lastly, the main results concerning asthenodynamics (Weak-EM Unification) as given by the ghost-gauge SU(2/1) supergroup are recalled. 1 table. (RWR)

• Research Organization: Texas Univ., Austin (USA). Center for Particle Theory; Tel Aviv Univ. (Israel). Dept. of Physics and Astronomy; California Inst. of Tech., Pasadena (USA); Observatoire de Paris, Section de Meudon, 92 (France)
• DOE Contract Number: EY-76-S-05-3992
• OSTI ID: 5728658
• Report Number(s): ORO-3992-374; CONF-7903102-2; TRN: 80-003993
• Resource Relation: Conference: 8. international colloquium on group theoretical methods in physics, Kiriat Anavim, Israel, 25 Mar 1978
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
HIGGS MODEL
SU-3 GROUPS
SUPERGRAVITY
YANG-MILLS THEORY
CHIRAL SYMMETRY
ELECTROMAGNETIC INTERACTIONS
LAGRANGIAN FUNCTION
RENORMALIZATION
SCALAR FIELDS
SU-2 GROUPS
SUPERSYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
UNITARITY
WEAK INTERACTIONS
BASIC INTERACTIONS
FUNCTIONS
INTERACTIONS
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
SU GROUPS
SYMMETRY
645400* - High Energy Physics- Field Theory