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Perturbative Calculations of Symmetry Breaking
Abstract
The one-loop contributions to fermion and pseudo-Goldstone masses are calculated for the general class of renormalizable guage theories. It is shown explicitly that when the masses are subject to any type of zeroth-order symmetry. relation for all values of the parameters in the Lagrangian, the divergences in the one-loop corrections to these symmetry relations cancel. The finite parts of these corrections are evaluated and discussed. Other topics considered include the connection of this work with that of Coleman and E. Weinberg, the constraints obeyed by scalar coupling constants, and the path-integral derivation of the Feynman rules for general renormalizable gauge theories.
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Citations
Cited by
Effective action for composite operators
Cornwall, J. M., Jackiw, R., & Tomboulis, E. (1974) · Physical Review D · doi:10.1103/physrevd.10.2428 · Cited by 1,381
Gauge invariance in the effective action and potential
Fukuda, R., & Kugo, T. (1976) · Physical Review D · doi:10.1103/physrevd.13.3469 · Cited by 184
Gauge invariance and the effective potential
Aitchison, I. J. R., & Fraser, C. M. (1984) · Annals of Physics · doi:10.1016/0003-4916(84)90209-4 · Cited by 132
Metadata
- Authors
- Weinberg, S.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1973-05-15
- Volume
- 7
- Issue
- 10
- Pages
- 2887-2910
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2145184750
- Cited by
- 341
- References
- 0
- FWCI
- 18.25
- Type
- journal article
- Language
- en
- Open access
- closed
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- Weinberg, S. (1973). Perturbative Calculations of Symmetry Breaking. Physical Review D. https://doi.org/10.1103/physrevd.7.2887
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