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Influences of Lorentz symmetry violation on charged Dirac fermions in cosmic dislocation space-time

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Abstract

In this paper, the relativistic and non-relativistic behavior of charged Dirac fermions is investigated in the presence of a Kratzer-like potential under the influence of a broken Lorentz symmetry in space-time with the cosmic screw dislocation background. The effect of the Lorentz symmetry breaking is defined by a fixed vector field. We indicate the interaction of a charged Dirac fermion with a magnetic field determined by an electromagnetic field tensor in the background involving a Kratzer-like potential generated by the Lorentz symmetry violation effect. In this way, the energy eigenvalues and relevant wave functions of the generalized Dirac and Schrödinger-Pauli equation in the presence of the induced Kratzer-like potential are obtained by an analytical method.

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Notes

  1. We use Latin indices for representing the local reference frame, i.e., \(a,b=0,1,2,3\) and the spatial components of the local reference frame, i.e., \(i,j =1,2,3\).

  2. Here Greek indices are considered as \(\mu ,\nu =t, \rho , \varphi , z\).

  3. Because of the compactness of the following equation, we temporarily drop the t and \(\vec {r}\) dependencies in the spinor component \(\psi _{1}\left( t,{\vec {r}}\right) \).

  4. Again we temporarily drop the t and \(\vec {r}\) dependencies in the spinor component \(\psi _{1}\left( t,{\vec {r}}\right) \).

References

  1. Kostelecký, V.A., Samuel, S.: Phys. Rev. D 39, 683 (1989)

    Article  ADS  Google Scholar 

  2. Kostelecký, V.A., Samuel, S.: Phys. Rev. D 40, 1886 (1989)

    Article  ADS  Google Scholar 

  3. Carroll, S.M., Field, G.B., Jackiw, R.: Phys. Rev. D 41, 1231 (1989)

    Article  ADS  Google Scholar 

  4. Kostelecký, V.A., Mewes, M.: Phys. Rev. D 66, 056005 (2002)

    Article  ADS  Google Scholar 

  5. Casana, R., Ferreira, M.M., Jr., Passos, E., dos Santos, F.E.P., Silva, E.O.: Phys. Rev. D 87, 047701 (2013)

    Article  ADS  Google Scholar 

  6. Colladay, D., Kostelecký, V.A.: Phys. Rev. D 55, 6760 (1997)

    Article  ADS  Google Scholar 

  7. Colladay, D., Kostelecký, V.A.: Phys. Rev. D 58, 116002 (1998)

    Article  ADS  Google Scholar 

  8. Belich, H., Leal, F.J.L., Louzada, H.L.C., Orlando, M.T.D.: Phys. Rev. D 86, 125037 (2012)

    Article  ADS  Google Scholar 

  9. Lehnert, R.: Proceedings of the Eighth Meeting on CPT and Lorentz Symmetry. World Scientific, Singapore (2020)

    Book  Google Scholar 

  10. Mattingly, D.: Living Rev. Relativ. 8, 5 (2005)

    Article  ADS  Google Scholar 

  11. Knorr, B.: Phys. Lett. B 792, 142 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  12. Brown, J.M., Smullin, S.J., Kornack, T.W., Romalis, M.V.: Phys. Rev. Lett. 105, 151604 (2010)

    Article  ADS  Google Scholar 

  13. Dzuba, V.A., Flambaum, V.V., Safronova, M.S., Porsev, S.G., Pruttivarasin, T., Hohensee, M.A., Häffner, H.: Nature Phys. 12, 465 (2016)

    Article  ADS  Google Scholar 

  14. Chen, Y.-F., Tan, Y.-J., Shao, C.-G.: Symmetry 9, 219 (2017)

    Article  Google Scholar 

  15. Kostelecký, V.A., Mewes, M.: Phys. Lett. B 766, 137 (2017)

    Article  ADS  Google Scholar 

  16. Ding, Y., Rawnak, M.F.: Phys. Rev. D 102, 056009 (2020)

    Article  ADS  Google Scholar 

  17. Belich, H., Costa-Soares, T., Ferreira, M.M., Jr., Helayël-Neto, J.A.: Eur. Phys. J. C 41, 421 (2005)

    Article  ADS  Google Scholar 

  18. Belich, H., Costa-Soares, T., Ferreira, M.M., Jr., Helayël-Neto, J.A., Orlando, M.T.D.: Phys. Lett. B 639, 675 (2006)

    Article  ADS  Google Scholar 

  19. Belich, H., Colatto, L.P., Costa-Soares, T., Helayël-Neto, J.A., Orlando, M.T.D.: Eur. Phys. J. C 62, 425 (2009)

    Article  ADS  Google Scholar 

  20. Bakke, K., Silva, E.O., Belich, H.: J. Phys. G: Nucl. Part. Phys. 39, 055004 (2012)

    Article  ADS  Google Scholar 

  21. Bakke, K., Belich, H.: J. Phys. G: Nucl. Part. Phys. 39, 085001 (2012)

    Article  ADS  Google Scholar 

  22. Belich, H., Silva, E.O., Ferreira, M.M., Jr., Orlando, M.T.D.: Phys. Rev. D 83, 125025 (2011)

    Article  ADS  Google Scholar 

  23. Bakke, K., Belich, H., Silva, E.O.: J. Math. Phys. 52, 063505 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  24. Bakke, K., Belich, H., Silva, E.O.: Ann. Phys. (Berlin) 523, 910 (2011)

    Article  ADS  Google Scholar 

  25. Bakke, K.: Ann. Phys. (Berlin) 523, 762 (2011)

    Article  ADS  Google Scholar 

  26. Ahmed, F.: Adv. High Energy Phys. 2020, 5691025 (2020)

    Google Scholar 

  27. Bakke, K., Furtado, C.: Phys. Lett. A 375, 3956 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  28. Nikiforov, A.F., Uvarov, V.B.: Special Functions of Mathematical Physics. Birkhäuser, Basel (1988)

    Book  MATH  Google Scholar 

  29. Puntigam, R.A., Soleng, H.H.: Class. Quantum Grav. 14, 1129 (1997)

    Article  ADS  Google Scholar 

  30. Furtado, C., Moraes, F.: EPL 45, 279 (1999)

    Article  ADS  Google Scholar 

  31. de Marques, G.A., Furtado, C., Bezerra, V.B., Moraes, F.: J. Phys. A: Math. Gen. 34, 5945 (2001)

    Article  ADS  Google Scholar 

  32. Silva Netto, A.L., Furtado, C.: J. Phys.: Condens. Matter 20, 125209 (2008)

    ADS  Google Scholar 

  33. Dantas, L., Furtado, C., Silva Netto, A.L.: Phys. Lett. A 379, 11 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  34. Furtado, C., Moraes, F.: J. Phys. A: Math. Gen. 33, 5513 (2000)

    Article  ADS  Google Scholar 

  35. Furtado, C., Bezerra, V.B., Moraes, F.: Phys. Lett. A 289, 160 (2001)

    Article  ADS  Google Scholar 

  36. Hassanabadi, H., Zare, S., Kříž, J., Lütfüoğlu, B.C.: EPL 132, 60005 (2020)

    Article  ADS  Google Scholar 

  37. Valanis, K.C., Panoskaltsis, V.P.: Acta Mech. 175, 77 (2005)

    Article  Google Scholar 

  38. Zare, S., Hassanabadi, H., de Montigny, M.: Eur. Phys. J. Plus. 135, 122 (2020)

    Article  Google Scholar 

  39. Filgueiras, C., Silva, E.O.: Phys. Lett. A 379, 2110 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  40. Inomata, A., Junker, G., Raynolds, J.: J. Phys. A 45, 075301 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  41. Bakke, K.: Ann. Phys. (N. Y.) 346, 51 (2014)

    Article  ADS  Google Scholar 

  42. Inomata, A., Junker, G.: Phys. Lett. A 376, 305 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  43. Ding, Y., Kostelecký, V.A.: Phys. Rev. D 94, 056008 (2016)

    Article  ADS  Google Scholar 

  44. Kostelecký, V.A., Vargas, A.J.: Phys. Rev. D 98, 036003 (2018)

    Article  ADS  Google Scholar 

  45. Bakke, K., Furtado, C.: J. Math. Phys. 53, 023514 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  46. Bakke, K., Belich, H.: Ann. Phys.(N. Y.), 333, 272 (2013)

    Article  ADS  Google Scholar 

  47. Bakke, K., Belich, H.: Eur. Phys. J. Plus 127, 102 (2012)

    Article  Google Scholar 

  48. Bouaziz, D.: Ann. Phys.(N. Y.), 355, 269 (2015)

    Article  ADS  Google Scholar 

  49. Hassanabadi, H., de Montigny, M., Hosseinpour, M.: Ann. Phys.(N. Y.), 412, 168040 (2020)

    Article  Google Scholar 

  50. Kratzer, A.: Zeit. Phys. 3, 289 (1920)

    Article  ADS  Google Scholar 

  51. de Marques, G.A., Bezerra, V.B.: Class. Quantum Grav. 19, 985 (2002)

    Article  ADS  Google Scholar 

  52. Petreska, I., Sandev, T., Ivanovski, G., Pejov, L.: Commun. Theor. Phys. 54, 138 (2010)

    Article  ADS  Google Scholar 

  53. Efimov, V.: Phys. Lett. B 33, 563 (1970)

    Article  ADS  Google Scholar 

  54. Efimov, V.: Nuclear. Phys. A 210, 157 (1973)

    Google Scholar 

  55. Dmitrasinović, V.: Phys. Rev. A 101, 053605 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  56. de Alfaro, V., Fubini, S., Furlan, G.: Nuov. Cim. A 34, 569 (1976)

    Article  ADS  Google Scholar 

  57. Case, K.M.: Phys. Rev. 80, 797 (1950)

    Article  ADS  MathSciNet  Google Scholar 

  58. Macek, J.: J. Phys. B 1, 831 (1968)

    Article  ADS  Google Scholar 

  59. Bakke, K., Furtado, C.: Ann. Phys.(N. Y.), 422, 168325 (2020)

    Article  Google Scholar 

  60. de Montigny, M., Hassanabadi, H., Pinfold, J., Zare, S.: Eur. Phys. J. Plus 136, 788 (2021)

    Article  Google Scholar 

  61. Junker, G.: Symmetry 12, 1590 (2020)

    Article  Google Scholar 

Download references

Acknowledgements

The authors thank the referee for a thorough reading of their manuscript and constructive suggestions.

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Authors and Affiliations

  1. Faculty of Physics, Shahrood University of Technology, 3619995161-316, Shahrood, Iran

    Soroush Zare & Hassan Hassanabadi

  2. European Southern Observatory, Karl-Schwarzschild-Straße 2, 85748, Garching, Germany

    Georg Junker

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  1. Soroush Zare
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  2. Hassan Hassanabadi
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  3. Georg Junker
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Correspondence to Soroush Zare.

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Zare, S., Hassanabadi, H. & Junker, G. Influences of Lorentz symmetry violation on charged Dirac fermions in cosmic dislocation space-time. Gen Relativ Gravit 54, 69 (2022). https://doi.org/10.1007/s10714-022-02961-0

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