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The Einstein–Hilbert gravitation with minimum length

H. L. C. Louzada

Departamento de Física e Química, Universidade Federal do Espírito Santo, Vitória, ES, 29060-900, Brazil

https://doi.org/10.1142/S0217751X18500793Cited by:1 (Source: Crossref)

Abstract

We study the Einstein–Hilbert gravitation with the deformed Heisenberg algebra leading to the minimum length, with the intention to find and estimate the corrections in this theory, clarifying whether or not it is possible to obtain, by means of the minimum length, a theory, in D=4, which is causal, unitary and provides a massive graviton. Therefore, we will calculate and analyze the dispersion relationships of the considered theory.

Keywords:

PACS: 02.40.Gh

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References

1. A. Kempf, J. Math. Phys. 35, 4483 (1994). Web of Science, ADS, Google Scholar
2. A. Kempf, G. Mangano and R. B. Mann, Phys. Rev. D 52, 1108 (1995). Web of Science, ADS, Google Scholar
3. H. Hinrichsen and A. Kemph, J. Math. Phys. 37, 2121 (1996). Web of Science, ADS, Google Scholar
4. A. Kempf, J. Math. Phys. 38, 1347 (1997). Web of Science, ADS, Google Scholar
5. A. Kempf, J. Phys. A 30, 2093 (1997). ADS, Google Scholar
6. D. J. Gross and P. F. Mende, Nucl. Phys. B 303, 407 (1988). Web of Science, ADS, Google Scholar
7. M. Maggiore, Phys. Lett. B 304, 65 (1993). Web of Science, ADS, Google Scholar
8. E. Witten, Phys. Today 49, 24 (1996). Web of Science, Google Scholar
9. C. Quesne and V. M. Tkachuk, J. Phys. A: Math. Gen. 39, 10909 (2006). Web of Science, ADS, Google Scholar
10. C. Quesne and V. M. Tkachuk, Czech. J. Phys. 56, 1269 (2006). Web of Science, ADS, Google Scholar
11. V. M. Tkachuk, J. Phys. Stud. 11, 41 (2007). Google Scholar
12. G. ’t Hooft and M. Veltman, Ann. Inst. Henri Poincaré A 20, 69 (1974). Web of Science, ADS, Google Scholar
13. T. P. Sotiriu and V. Faraoni, Rev. Mod. Phys. 82, 451 (2010). Web of Science, ADS, Google Scholar
14. A. J. Accioly, A. Azeredo and H. Mukai, J. Math. Phys. 43, 473 (2002). Web of Science, ADS, Google Scholar
15. R. J. Rivers, Nuovo Cimento 34, 387 (1964). Web of Science, Google Scholar
16. K. S. Stelle, Phys. Rev. D 16, 953 (1977). Web of Science, ADS, Google Scholar
17. P. van Niewenhuizen, Nucl. Phys. B 60, 478 (1973). Web of Science, ADS, Google Scholar
18. A. B. Baêta Scarpelli et al., Phys. Rev. D 67, 085021 (2003). Web of Science, ADS, Google Scholar
19. C. Adam and F. R. Klinkhamer, Nucl. Phys. B 607, 247 (2001). Web of Science, ADS, Google Scholar
20. A. B. Baêta Scarpelli and J. A. Helayël-Neto, Phys. Rev. D 73, 105020 (2006). Web of Science, Google Scholar
21. L. Modesto and I. L. Shapiro, Phys. Lett. B 755, 279 (2016). Web of Science, ADS, Google Scholar
22. A. Accioly, B. L. Giacchini and I. L. Shapiro, Eur. Phys. J. C 77, 540 (2017). Web of Science, ADS, Google Scholar
23. T. D. Lee and G. C. Wick, Phys. Rev. D 2, 1033 (1970). Web of Science, ADS, Google Scholar
24. T. D. Lee and G. C. Wick, Nucl. Phys. B 12, 209 (1969). Web of Science, ADS, Google Scholar
25. S. K. Moayedi, M. R. Setare and B. Khosropour, Adv. High Energy Phys. 2013, 657870 (2013). Web of Science, Google Scholar
26. A. Accioly and E. Scatena, Mod. Phys. Lett. A 25, 269 (2010). Link, Web of Science, ADS, Google Scholar
27. A. Accioly, P. Gaete, J. Helayël-Neto, E. Scatena and R. Turcati, Mod. Phys. Lett. A 26, 1985 (2011). Link, Web of Science, ADS, Google Scholar
28. A. Accioly and H. Mukai, Nuovo Cimento B 112, 1061 (1997). Google Scholar
29. R. R. Cuzinatto, C. A. M. de Melo, L. G. Medeiros and P. J. Pompeia, Int. J. Mod. Phys. A 26, 3641 (2011). Link, Web of Science, ADS, Google Scholar