Covariant Gaussian approximation. III. U(1) Higgs model

Journal Article · Sat Jul 15 04:00:00 EDT 1989 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.40.515· OSTI ID:5960500

Rosenstein, B; Kovner, A

The covariant Gaussian approximation is applied to the U(1) Higgs model. Itis shown that the Ward identities are satisfied in this approximation. There isno consistent renormalization with both the kinetic term and bare scalarself-coupling /lambda//sub /ital b// positive. The theory is trivial in the samesense as the pure /Phi//sup 4/ theory with a positive /lambda//sub /ital b//.There exists however a consistent renormalization with a positive/lambda//sub /ital b// and negative kinetic term. We find in this theory that theHiggs phenomenon does not occur and the photon remains massless.

• Research Organization: Theory Group, Department of Physics, University of Texas, Austin, Texas 78712(US); High Energy Physics Department, School of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel
• OSTI ID: 5960500
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 40:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GAUSSIAN PROCESSES
GREEN FUNCTION
HIGGS MODEL
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICAL MODELS
PARTICLE MODELS
PHI4-FIELD THEORY
PHOTONS
QUANTUM FIELD THEORY
RENORMALIZATION
SCALAR FIELDS
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
WARD IDENTITY