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Least-order torsion-gravity for dirac fields, and their non-linearity terms

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Abstract

We will consider the most general least-order torsional completion of gravity with electrodynamics for the Dirac matter fields, and we study the effects that the torsion-spin coupling will have in inducing self-interactions among the fermion fields themselves; we will see that such self-interactions of fermions have effects analogous to those of the field-quantization prescription, and we will study the way in which they can give rise to matter distributions that are localized in a compact region and stable under the influence of perturbations.

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References

  1. Peskin, M.E., Schröder, D.V.: An introduction to quantum field theory. Perseus Books, New York (1995)

    Google Scholar 

  2. Hayashi, K.: Phys. Lett. B 65, 437 (1976)

    Article  ADS  MathSciNet  Google Scholar 

  3. Hehl, F.W., Von Der Heyde, P., Kerlick, G.D., Nester, J.M.: Rev. Mod. Phys. 48, 393 (1976)

    Article  ADS  Google Scholar 

  4. Macias, A., Lämmerzahl, C.: J. Math. Phys. 34, 4540 (1993)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  5. Audretsch, J., Lämmerzahl, C.: Class. Quant. Grav. 5, 1285 (1988)

    Article  ADS  MATH  Google Scholar 

  6. Xin, Yu.: Astrophys. Space Sci. 154, 321 (1989)

    Article  MathSciNet  Google Scholar 

  7. Hojman, R., Mukku, C., Sayed, W.A.: Phys. Rev. D 22, 1915 (1980)

    Article  ADS  Google Scholar 

  8. Alexandrov, S.: Class. Quant. Grav. 25, 145012 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  9. Fabbri, L., Vignolo, S.: Int. J. Theor. Phys. 51, 3186 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  10. Fabbri, L.: Gen. Rel. Grav. doi:10.1007/s10714-013-1663-1

  11. Fabbri, L.: arXiv:1401.7069 [gr-qc].

  12. Fabbri, L.: arXiv:1401.3275 [gr-qc].

  13. Nambu, Y., Jona-Lasinio, G.: Phys. Rev. 122, 345 (1961)

    Article  ADS  Google Scholar 

  14. Nambu, Y., Jona-Lasinio, G.: Phys. Rev. 124, 246 (1961)

    Article  ADS  Google Scholar 

  15. Gross, D.J., Neveu, A.: Phys. Rev. D 10, 3235 (1974)

    Article  ADS  Google Scholar 

  16. DeSabbata, V., Gasperini, M.: Gen. Rel. Grav. 10, 731 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  17. Fabbri, L.: Int. J. Theor. Phys. 50, 3616 (2011)

    Article  MATH  Google Scholar 

  18. Ahluwalia, D.V., Burgard, C.: Gen. Rel. Grav. 28, 1161 (1996)

    Article  ADS  Google Scholar 

  19. Wolfenstein, L.: Phys. Rev. D 17, 2369 (1978)

    Article  ADS  Google Scholar 

  20. DeSabbata, V., Gasperini, M.: Nuovo Cim. A 65, 479 (1981)

    Article  ADS  Google Scholar 

  21. Fabbri, L.: Ann. Fond. Broglie 37, 33 (2012)

    MathSciNet  Google Scholar 

  22. Tilquin, A., Schucker, T.: Gen. Rel. Grav. 43, 2965 (2011)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  23. Silverman, M.P., Mallett, R.L.: Gen. Rel. Grav. 34, 633 (2002)

    Article  MATH  Google Scholar 

  24. Fabbri, L.: Int. J. Mod. Phys. D 22, 1350071 (2013)

    Article  ADS  Google Scholar 

  25. Kerlick, G.D.: Phys. Rev. D 12, 3004 (1975)

    Article  ADS  Google Scholar 

  26. Fabbri, L.: Int. J. Theor. Phys. 52, 634 (2013)

    Article  MATH  Google Scholar 

  27. Magueijo, J., Zlosnik, T.G., Kibble, T.W.B.: Phys. Rev. D 87, 063504 (2013)

    Article  ADS  Google Scholar 

  28. Jaffe, R.L.: Phys. Rev. D 72, 021301 (2005)

    Article  ADS  Google Scholar 

  29. Schwinger, J.: Particles, sources and fields. Advanced Book Classics Series, Addison-Wesley, Boston (1989)

    Google Scholar 

  30. Schwinger, J.: In: Mehra, J. (ed.) The physicist’s conception of nature. Springer, Berlin (1973)

  31. Rugh, S.E., Zinkernagel, H.: Study Hist. Philos. Mod. Phys. 33, 663 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  32. Fabbri, L.: Mod. Phys. Lett. A 27, 1250028 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  33. Fabbri, L.: Int. J. Theor. Phys. 53, 1896 (2014)

    Article  MATH  MathSciNet  Google Scholar 

  34. Fabbri, L.: Int. J. Theor. Phys. 53, 3744 (2014)

    Article  MATH  MathSciNet  Google Scholar 

  35. Buchbinder, I.L., Odintsov, S.D., Shapiro, I.L.: Phys. Lett. B 162, 92 (1985)

    Article  ADS  Google Scholar 

  36. Buchbinder, I.L., Odintsov, S.D., Shapiro, I.L.: Sov. Phys. J. 30, 183 (1987)

    Article  Google Scholar 

  37. Buchbinder, I.L., Odintsov, S.D., Shapiro, I.L.: Riv. Nuovo Cim. 12N10, 1 (1989)

    Article  MathSciNet  Google Scholar 

  38. Buchbinder, I.L., Odintsov, S.D., Shapiro, I.L.: Effective action in quantum gravity. CRC Press, Bristol (1992)

    Google Scholar 

  39. Takahashi, K.: J. Math. Phys. 20, 1232 (1979)

    Article  ADS  MATH  Google Scholar 

  40. da Rocha, R., Hoff da Silva, J.M.: Adv. Appl. Clifford Algebras 20, 847 (2010)

    Article  MATH  Google Scholar 

  41. Hoff da Silva, J.M., da Rocha, R.: Phys. Lett. B 718, 1519 (2013)

  42. Cavalcanti, R.T.: Int. J. Mod. Phys. D 23, 1444002 (2014)

    Article  Google Scholar 

  43. da Rocha, R., Fabbri, L., Hoff da Silva, J.M., Cavalcanti, R.T., Silva-Neto, J.A.: J. Math. Phys. 54, 102505 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  44. Carter, B.: Phys. Rev. 174, 1559 (1968)

    Article  ADS  MATH  Google Scholar 

  45. Israel, W.: Phys. Rev. D 2, 641 (1970)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  46. Lopez, C.A.: Phys. Rev. D 30, 313 (1984)

    Article  ADS  Google Scholar 

  47. Lopez, C.A.: Phys. Rev. D 33, 2489 (1986)

    Article  ADS  Google Scholar 

  48. Dirac, P.A.M.: Proc. Roy. Soc. Lond. A 268, 57 (1962)

    Article  ADS  MATH  MathSciNet  Google Scholar 

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Fabbri, L. Least-order torsion-gravity for dirac fields, and their non-linearity terms. Gen Relativ Gravit 47, 1837 (2015). https://doi.org/10.1007/s10714-014-1837-5

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