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Renormalizable Massive Vector-Meson Theory-Perturbation Theory of the Higgs Phenomenon
Phys. Rev. D 5, 823 – Published 15 February, 1972
DOI: https://doi.org/10.1103/PhysRevD.5.823
Abstract
We establish that the Abelian gauge theory first considered by Higgs in which the gauge vector boson acquires a finite mass due to the spontaneous breakdown of symmetry is renormalizable, in the sense that the Bogoliubov-Parasiuk-Hepp program can be executed in such a way that the Ward-Takahashi identities are satisfied. This paper contains the global study of the Ward-Takahashi identities and low-energy theorems of the model. We show that the Goldstone boson and the scalar excitation of zero mass associated with the Landaugauge vector propagator are unphysical, and disappear from the matrix.
References (32)
- J. Goldstone, Nuovo Cimento 19, 154 (1961)
- J. Goldstone, A. Salam, and S. Weinberg, Phys. Rev. 127, 965 (1962) S. Bludman and A. Klein, ibid. 131, 2363 (1963)
- T. W. B. Kibble, in Proceedings of the 1967 International Conference on Particles and Fields, edited by C. R. Hagen (Interscience, New York, 1967) G. Guralnik, C. R. Hagen, and T. W. B. Kibble, in Advances in Particle Physics, edited by R. L. Cool and R. E. Marshak (Interscience, New York, 1968), Vol. II
- Y. Nambu, Phys. Rev. 117, 648 (1960) P. W. Anderson, ibid. 130, 439 (1963) A. Klein and B. W. Lee, Phys. Rev. Letters 12, 266 (1964)
- P. Higgs, Phys. Letters 12, 132 (1964)
- G. Guralnik, C. R. Hagen, and T. W. B. Kibble, Phys. Rev. Letters 13, 585 (1964)
- P. Higgs, Phys. Rev. 145, 1156 (1966)
- T. W. B. Kibble, Phys. Rev. 155, 1554 (1967)
- S. Weinberg, Phys. Rev. Letters 19, 1264 (1967)
- G. 't Hooft, University of Utrecht report (unpublished)
- M. Gell-Mann and M. Lévy, Nuovo Cimento 16, 705 (1960)
- B. W. Lee, Nucl. Phys. B9, 649 (1969) J.-L. Gervais and B. W. Lee, ibid. B12, 627 (1969)
- K. Symanzik, Lett. Nuovo Cimento 2, 10 (1969) Commun. Math. Phys. 16, 48 (1970)
- R. P. Feynman, Rev. Mod. Phys. 20, 267 (1948)
- L. D. Faddeev and V. N. Popov, Phys. Letters 25B, 29 (1967) V. N. Popov and L. D. Faddeev, Kiev Report No. ITP 67-36, 1967 (unpublished)
- S. N. Gupta, Proc. Phys. Soc. (London) 63, 681 (1950) ibid.64, 850 (1951) K. Bleuler, Helv. Phys. Acta 23, 567 (1950)
- W. Pauli and F. Villars, Rev. Mod. Phys. 21, 434 (1949)
- N. N. Bogoliubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields (Interscience, New York, 1959)
- K. Hepp, Commun. Math. Phys. 1, 95 (1965) K. HeppTheorie de la Renormalisation (Springer, Berlin, 1969)
- B. W. Lee, Chiral Dynamics (Gordon and Breach, New York, to be published)
- A. Vassiliev, Etudes des Symetries Brisées par des Méthodes Functionelles (Gordon and Breach, New York, to be published)
Omitted endnote
- S. N. Gupta, Proc. Phys. Soc. (London) A66, 129 (1953)
Omitted endnote
Omitted endnote
- A. Slavonov, Kiev Report No. ITP 71-83E, 1971 (unpublished)
- J. Schwinger, Proc. Nat. Acad. Sci. (U.S.) 37, 452 (1951)
- G. Jona-Lasinio, Nuovo Cimento 34, 1790 (1964)
- [20] B. Zumino in Lectures on Elementary Particles and Quantum Field Theory, 1970 Brandeis University Summer Institute in Theoretical Physics, edited by S. Deser, M. Grisaru, and H. Pendleton (MIT Press, Cambridge, Mass., 1971), Vol. I
- [28]
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