Photon-Z mixing the Weinberg-Salam model: Effective charges and the a = -3 gauge
We study some properties of the Weinberg-Salam model connected with the photon-Z mixing. We solve the linear Dyson-Schwinger equations between full and 1PI boson propagators. The task is made easier, by the two-point function Ward identities that we derive to all orders and in any gauge. Some aspects of the renormalization of the model are also discussed. We display the exact mass-dependent one-loop two-point functions involving the photon and Z field in any linear xi-gauge. The special gauge a = xi/sup -1/ = -3 is shown to play a peculiar role. In this gauge, the Z field is multiplicatively renormalizable (at the one-loop level), and one can construct both electric and weak effective charges of the theory from the photon and Z propagators, with a very simple expression similar to that of the QED Petermann, Stueckelberg, Gell-Mann and Low charge.
- Research Organization:
- Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138
- DOE Contract Number:
- AC02-76ER03227
- OSTI ID:
- 5231181
- Journal Information:
- Ann. Phys. (N.Y.); (United States), Vol. 140:1
- Country of Publication:
- United States
- Language:
- English
Similar Records
Renormalizability, gauge invariance and vμve scattering in Weinberg-Salam model
Two aspects of spontaneous symmetry breaking-dynamical chiral symmetry breaking and the gauge technique, and the production of the standard Higgs via decays of the b sup prime quark
Related Subjects
WEINBERG-SALAM GAUGE MODEL
PROPAGATOR
RENORMALIZATION
WARD IDENTITY
COUPLING CONSTANTS
DYSON REPRESENTATION
ELECTROMAGNETIC INTERACTIONS
GREEN FUNCTION
LAGRANGIAN FUNCTION
PHOTONS
SELF-ENERGY
SU-2 GROUPS
U-1 GROUPS
WEAK INTERACTIONS
BASIC INTERACTIONS
ELEMENTARY PARTICLES
ENERGY
FUNCTIONS
INTERACTIONS
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICAL MODELS
PARTICLE MODELS
SU GROUPS
SYMMETRY GROUPS
U GROUPS
UNIFIED GAUGE MODELS
645202* - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties
645203 - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties