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Slavnov-Taylor and ward identities in the electroweak theory

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Abstract

In the framework of the electroweak theory, we discuss a class of gauge-fixing choices suitable for calculating electromagnetic processes. In particular, we show that with our choices, in addition to the basic Slavnov-Taylor identities guaranteeing that physical results are independent of the choice of the gauge fixing, we also have the standard Ward identities in quantum electrodynamics, which play a well-known crucial role in calculating electromagnetic processes and, specifically, in analyzing the electromagnetic radiative corrections.

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References

  1. C. M. Becchi and G. Ridolfi, An Introduction to Relativistic Processes and the Standard Model of Electroweak Interactions, Springer International, Cham, Switzerland (2014).

    Book  Google Scholar 

  2. D. R. Yennie, S. C. Frautschi, and H. Suura, Ann. Phys. (N.Y.), 13, 379–452 (1961).

    Article  ADS  Google Scholar 

  3. G. ’t Hooft, Nucl. Phys. B, 33, 173–199 (1971).

    Article  ADS  Google Scholar 

  4. A. A. Slavnov, Theor. Math. Phys., 10, 99–104 (1972); Scholarpedia, 3, 7119 (2008).

    Article  MathSciNet  Google Scholar 

  5. J. C. Taylor, Nucl. Phys. B, 33, 436–444 (1971).

    Article  ADS  Google Scholar 

  6. J. R. Ellis, M. K. Gaillard, and D. V. Nanopoulos, Nucl. Phys. B, 106, 292–340 (1976).

    Article  ADS  Google Scholar 

  7. M. A. Shifman, A. I. Vainshtein, M. B. Voloshin, and V. I. Zakharov, Sov. J. Nucl. Phys., 30, 711–716 (1979).

    Google Scholar 

  8. A. Rouet and R. Stora, “Models with renormalizable Lagrangians: Perturbative approach to symmetry breaking,” in: Enseignement du troisi`eme cycle de la Physique en Suisse Romande, Univerities of Geneva, Lausanne (1973).

    Google Scholar 

  9. C. Itzykson and J.-B. Zuber, Quantum Field Theory, McGray-Hill, Singapore (1980); J. Zinn-Justin, Scholarpedia, 4, 7120 (2009).

    Google Scholar 

  10. G. Bandelloni, C. Becchi, A. Blasi, and R. Collina, Ann. Inst. Henry Poincaré Sec. A, n.s., 28, 255–285 (1978).

    MathSciNet  Google Scholar 

  11. K. Fujikawa, Phys. Rev. D, 7, 393–398 (1973); M. Bacé and N. D. Hari Dass, Ann. Phys., 94, 349–373 (1975); B. W. Lee and R. E. Shrock, Phys. Rev. D, 16, 1444–1473 (1977); M. B. Gavela, G. Girardi, C. Malleville, and P. Sorba, Nucl. Phys. B, 193, 257–268 (1981); N. G. Deshpande and M. Nazerimonfared, Nucl. Phys. B, 213, 390–408 (1983); F. Boudjema, Phys. Lett. B, 187, 362–366 (1987); A. Denner, S. Dittmaier, and R. Schuster, Nucl. Phys. B, 452, 80–108 (1995); arXiv:hep-ph/9503442v1 (1995).

    Article  ADS  Google Scholar 

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Correspondence to C. Becchi.

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Paper written on the occasion of Andrei Slavnov’s 75th birthday

Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 182, No. 1, pp. 65–75, January, 2014.

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Becchi, C. Slavnov-Taylor and ward identities in the electroweak theory. Theor Math Phys 182, 52–60 (2015). https://doi.org/10.1007/s11232-015-0244-8

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  • DOI: https://doi.org/10.1007/s11232-015-0244-8

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