Ghost Free Nonabelian Gauge Theory: Renormalization and Gauge-Invariance
Jun, 197519 pages
Published in:
- Nucl.Phys.B 100 (1975) 106-124
- Published: 1975
Report number:
- PRINT-75-0668 (VIENNA)
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Abstract: (Elsevier)
Although it has been known for a long time that the special case n μ A μ = 0 for an axial gauge of a vector field A μ , characterized by a direction n μ , is free from the peculiar loop complications inherent in all other known gauges of non-Abelian gauge theories, practical use of this ghost-free gauge has often met with some reserve. The reasons were always difficulties in the development of the theoretical formalism, all of which can be traced back to a singularity at n μ p μ = 0 where p is some four-momentum. This paper, which is a sequel to an earlier one by one of the authors, is intended to show that within the functional integration formalism a consistent field theory can be developed. Here we first prove the gauge invariance of the renormalized theory, allowing for the presence of an arbitrary number of scalar and fermion fields with spontaneous symmetry breaking. Then it is shown that all on-shell elements for the physical S -matrix between properly selected physical sources are independent of n μ (gauge invariant) and so are the renormalized masses.- FIELD THEORY: GAUGE
- FIELD THEORY: NONABELIAN
- RENORMALIZATION
- INVARIANCE: GAUGE
- SYMMETRY: BROKEN
- S-MATRIX
- SPONTANEOUS SYMMETRY BREAKING
- PROPAGATOR
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