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Renormalizability and Unitarity of the Englert–Broute–Higgs–Kibble Model

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Abstract

We show that the Englert–Broute–Higgs–Kibble model is renormalizable and unitary.

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References

  1. F. Englert and R. Brout, “Broken symmetry and the mass of gauge vector mesons,” Phys. Lett., 13, 321–323 (1964).

    Article  MathSciNet  Google Scholar 

  2. P. W. Higgs, “Broken symmetries, massless particles, and gauge fields,” Phys. Lett., 12, 132–133 (1964).

    Article  ADS  Google Scholar 

  3. T. W. B. Kibble, “Symmetry breaking in non-Abelian gauge theories,” Phys. Rev., 155, 1554–1561 (1967).

    Article  ADS  Google Scholar 

  4. V. N. Gribov, “Quantization of non-Abelian gauge theories,” Nucl. Phys. B, 139, 1–19 (1978).

    Article  ADS  MathSciNet  Google Scholar 

  5. A. A. Slavnov, “A Lorentz invariant formulation of the Yang–Mills theory with gauge invariant ghost field Lagrangian,” JHEP, 0808, 047 (2008); arXiv:0807.1795v1 [hep-th] (2008).

    Article  ADS  MathSciNet  Google Scholar 

  6. A. A. Slavnov, “Lorentz-invariant quantization of the Yang–Mills theory without Gribov ambiguity,” Proc. Steklov Inst. Math., 272, 235–245 (2011).

    Article  MathSciNet  MATH  Google Scholar 

  7. A. Quadri and A. A. Slavnov, “Renormalization of the Yang–Mills theory in the ambiguity-free gauge,” JHEP, 1007, 087 (2010); arXiv:1002.2490v2 [hep-th] (2010).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  8. A. Quadri and A. A. Slavnov, “Ambiguity-free formulation of the Higgs–Kibble model,” Theor. Math. Phys., 166, 291–302 (2011).

    Article  MathSciNet  MATH  Google Scholar 

  9. A. A. Slavnov, “Nonperturbative quantization of models of massive non-Abelian gauge fields with spontaneously broken symmetry,” Theor. Math. Phys., 189, 1645–1650 (2016).

    Article  MATH  Google Scholar 

  10. A. A. Slavnov, “New approach to the quantization of the Yang–Mills field,” Theor. Math. Phys., 183, 585–596 (2015).

    Article  MathSciNet  MATH  Google Scholar 

  11. A. A. Slavnov, “A possibility to describe models of massive non-Abelian gauge fields in the framework of a renormalizable theory,” Theor. Math. Phys., 193, 1826–1833 (2017).

    Article  MATH  Google Scholar 

  12. A. A. Slavnov and L. D. Faddeev, Introduction to the Quantum Theory of Gauge Fields [in Russian], Nauka, Moscow (1988); English transl.: L. D. Faddeev and A. A. Slavnov, Gauge Fields: Introduction to Quantum Theory (Frontiers Phys., Vol. 83), Addison-Wesley, Redwood City, Calif. (1991).

    MATH  Google Scholar 

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Correspondence to A. A. Slavnov.

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This research is supported by a grant from the Russian Science Foundation (Project No. 14-50-00005).

Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 197, No. 2, pp. 252–256, November, 2018.

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Slavnov, A.A. Renormalizability and Unitarity of the Englert–Broute–Higgs–Kibble Model. Theor Math Phys 197, 1611–1614 (2018). https://doi.org/10.1134/S0040577918110041

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  • DOI: https://doi.org/10.1134/S0040577918110041

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