Photon - Mixing in the {Weinberg-Salam} Model: Effective Charges and the a = -3 Gauge
Oct, 198167 pages
Published in:
- Annals Phys. 140 (1982) 163
Report number:
- PRINT-81-0784 (HARVARD)
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Abstract: (Elsevier)
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 ξ-gauge. The special gauge a = ξ −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.- Salam-Weinberg model
- POSTULATED PARTICLE: Z0
- INTERFERENCE: PHOTON Z0
- GAUGE FIELD THEORY: SU(2) X U(1)
- PROPAGATOR: TWO-POINT FUNCTION
- RENORMALIZATION: REGULARIZATION
- FIELD THEORY: WARD IDENTITY
- RENORMALIZATION GROUP: CALLAN-SYMANZIK EQUATION
- FEYNMAN GRAPH
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