Point transformation and renormalization in the unitary gauge for non- Abelian fields
It is shown by means of a model that the renormalization and unitary gauges for non-Abelian fields can be connected by a point transformation, and this fact is used to construct a formal proof of renormalization in the unitary gauge. The formal proof is then verified by demonstrating that for a fourth- order on-shell scattering process the S matrix calculated directly in the unitary gauge is exactly equal to that calculated in the renormalization gauge. The calculation is refined to the point where it becomes purely graphical and this allows one to see by inspection how the cancellation of divergences occurs in the unitary gauge, and to trace this cancellation to the spontaneous-symmetry- breaking mechanism in the Lagrangian.
- Research Organization:
- Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-33-004214
- OSTI ID:
- 4190689
- Journal Information:
- Phys. Rev., D, v. 12, no. 2, pp. 489-502, Journal Name: Phys. Rev., D, v. 12, no. 2, pp. 489-502; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
*NEUTRINO-ELECTRON INTERACTIONS-- S MATRIX
641103*
FEYNMAN DIAGRAM
HAMILTONIANS
LAGRANGIAN FUNCTION
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SECOND QUANTIZATION
SU-2 GROUPS
SYMMETRY BREAKING
UNITARITY