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Scalar field effective action for the spontaneous symmetry breaking in gravity

Amin Akhavan

School of Physics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5531, Tehran, Iran

https://doi.org/10.1142/S0217732319501566Cited by:0 (Source: Crossref)

Abstract

In this paper, we obtain the quantum effective action for a scalar field which has been used for a special kind of symmetry breaking in gravity. Precisely by making use of some renormalization conditions, we calculate the one-loop path integral of canonical momentum. Moreover, we show that by introducing some new renormalization conditions, one can redefine the new degrees of freedom corresponding to a massive vector field.

Keywords:

References

1. R. Brout, F. Englert and E. Gunzig, Ann. Phys. 115, 78 (1978). Crossref, Web of Science, ADS, Google Scholar
2. G. t’Hooft, arXiv:0708.3184. Google Scholar
3. H. van Dam and M. J. G. Veltman, Nucl. Phys. B 22, 397 (1970). Crossref, Web of Science, ADS, Google Scholar
4. M. Fierz and W. Pauli, Proc. R. Soc. Lond. A 173, 211 (1939). Crossref, ADS, Google Scholar
5. A. H. Chamseddine and V. Mukhanov, JHEP 2010(08), 011 (2010). Crossref, Web of Science, Google Scholar
6. J. Kluson, Class. Quantum Grav. 28, 155014 (2011). Crossref, Web of Science, ADS, Google Scholar
7. R. Fukuda and E. Kyriakopoulos, Nucl. Phys. B 85, 354 (1975). Crossref, Web of Science, ADS, Google Scholar
8. L. O’Raifeartaigh, A. Wipf and H. Yoneyama, Nucl. Phys. B 271, 653 (0986). Crossref, Web of Science, Google Scholar
9. A. Ringwald and C. Wetterich, Nucl. Phys. B 334, 506 (1990). Crossref, Web of Science, ADS, Google Scholar
10. R. Percacci, Nucl. Phys. B 353, 271 (1991). Crossref, Web of Science, ADS, Google Scholar
11. S. Weinberg, The Quantum Theory of Fields (Cambridge Univ. Press, 1995). Crossref, Google Scholar
12. A. I. Vainshtein, Phys. Lett. B 39, 393 (1972). Crossref, Web of Science, ADS, Google Scholar
13. C. Deffayet, G. R. Dvali, G. Gabadadze and A. I. Vainshtein, Phys. Rev. D 65, 044026 (2002). Crossref, Web of Science, ADS, Google Scholar
14. D. G. Boulware and S. Deser, Phys. Rev. D 6, 3368 (1972). Crossref, Web of Science, ADS, Google Scholar
15. C. J. Isham, A. Salam and J. A. Strathdee, Phys. Rev. D 3, 867 (1971). Crossref, Web of Science, ADS, Google Scholar
16. C. de Rham, Phys. Lett. B 688, 137 (2010). Crossref, Web of Science, ADS, Google Scholar
17. N. Arkani-Hamed, H. Georgi and M. D. Schwartz, Ann. Phys. 305, 96 (2003). Crossref, Web of Science, ADS, Google Scholar
18. K. Hinterbichler, Rev. Mod. Phys. 84, 671 (2012). Crossref, Web of Science, ADS, Google Scholar