Research PaperNo Access

Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Universidad de Valencia, Burjassot 46100, Valencia, Spain

Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051–970, João Pessoa, Paraíba, Brazil

Corresponding author.

Search for more papers by this author

H. Hassanabadi

https://orcid.org/0000-0001-7487-6898

Institute of Actuarial Science and Data Analytics, UCSI University, Cheras, 56000, Malaysia

E-mail Address: [email protected]

Search for more papers by this author

J. A. A. S. Reis

https://orcid.org/0000-0002-2831-5317

Departamento de Ciências Exatas e Naturais, Universidade Estadual do Sudoeste da Bahia (UESB), Campus Juvino Oliveira, Itapetinga, Bahia 45700-00, Brazil

E-mail Address: [email protected]

Search for more papers by this author

, and

L. Lisboa-Santos

https://orcid.org/0000-0003-4939-3856

Programa de Pós-Graduação em Física, Universidade Federal do Ceará Campus do Pici, Fortaleza, Ceará 60455-760, Brazil

E-mail Address: [email protected]

Search for more papers by this author

https://doi.org/10.1142/S0217751X24500787Cited by:0 (Source: Crossref)

View article

Abstract

This paper explores the relativistic behavior of spin-half particles possessing an Electric Dipole Moment (EDM) in a curved space–time background induced by a spiral dislocation. A thorough review of the mathematical formulation of the Dirac spinor in the framework of quantum field theory sets the foundation for our investigation. By deriving the action that governs the interaction between the spinor field, the background space–time, and an external electric field, we establish a framework to study the dynamics of the system. Solving the resulting wave equation reveals a set of coupled equations for the radial components of the Dirac spinor, which give rise to a modified energy spectrum attributed to the EDM. To validate our findings, we apply them to the geometric phase and thermodynamics.

Keywords:

References

1. P. A. M. Dirac , The Principles of Quantum Mechanics, Vol. 27 ( Oxford University Press, 1981). Google Scholar
2. B. Thaller , The Dirac Equation ( Springer Science & Business Media, 2013). Google Scholar
3. M. Moshinsky and A. Szczepaniak , J. Phys. A: Math. Gen. 22, L817 (1989). Crossref, ADS, Google Scholar
4. A. Guvendi , Eur. Phys. J. C 81, 100 (2021). Crossref, Web of Science, ADS, Google Scholar
5. A. Alhaidari , Phys. Rev. Lett. 87, 210405 (2001). Crossref, Web of Science, ADS, Google Scholar
6. G.-F. Wei and S.-H. Dong , Phys. Lett. B 686, 288 (2010). Crossref, Web of Science, ADS, Google Scholar
7. E. R. B. de Mello , J. High Energy Phys. 2004, 016 (2004). Crossref, Google Scholar
8. R. R. Caldwell , Phys. Lett. B 545, 23 (2002). Crossref, Web of Science, ADS, Google Scholar
9. Y. N. Obukhov, A. J. Silenko and O. V. Teryaev , Phys. Rev. D 96, 105005 (2017). Crossref, Web of Science, ADS, Google Scholar
10. Y.-F. Cai, S. Capozziello, M. De Laurentis and E. N. Saridakis , Rep. Prog. Phys. 79, 106901 (2016). Crossref, Web of Science, ADS, Google Scholar
11. D. Colladay and V. A. Kosteleckỳ , Phys. Rev. D 55, 6760 (1997). Crossref, Web of Science, ADS, Google Scholar
12. V. A. Kosteleckỳ and M. Mewes , Phys. Rev. D 88, 096006 (2013). Crossref, Web of Science, ADS, Google Scholar
13. V. A. Kosteleckỳ , Phys. Rev. D 69, 105009 (2004). Crossref, Web of Science, ADS, Google Scholar
14. R. Lehnert , J. Math. Phys. 45, 3399 (2004). Crossref, Web of Science, ADS, Google Scholar
15. R. Lehnert , Phys. Rev. D 74, 125001 (2006). Crossref, Web of Science, ADS, Google Scholar
16. R. Casana, M. Ferreira Jr., R. Maluf and F. dos Santos , Phys. Rev. D 86, 125033 (2012). Crossref, Web of Science, ADS, Google Scholar
17. J. Gonzalez, F. Guinea and M. A. Vozmediano , Nucl. Phys. B 406, 771 (1993). Crossref, Web of Science, ADS, Google Scholar
18. C. Furtado, F. Moraes and A. D. M. Carvalho , Phys. Lett. A 372, 5368 (2008). Crossref, Web of Science, ADS, Google Scholar
19. F. de Juan, A. Cortijo and M. A. Vozmediano , Nucl. Phys. B 828, 625 (2010). Crossref, Web of Science, ADS, Google Scholar
20. J. A. Neto, J. D. S. Oliveira, C. Furtado and S. Sergeenkov , Eur. Phys. J. Plus 133, 185 (2018). Crossref, Web of Science, Google Scholar
21. V. B. Bezerra , J. Math. Phys. 38, 2553 (1997). Crossref, Web of Science, ADS, Google Scholar
22. A. Steinmetz, M. Formanek and J. Rafelski , Eur. Phys. J. A 55, 40 (2019). Crossref, Web of Science, ADS, Google Scholar
23. S. Bruce and J. Diaz-Valdes , Eur. Phys. J. A 56, 191 (2020). Crossref, Web of Science, ADS, Google Scholar
24. S. Bruce, J. Diaz-Valdes and M. Campos , Ann. Phys. 523, 939 (2011). Crossref, Web of Science, ADS, Google Scholar
25. K. Bakke and C. Furtado , Phys. Rev. D 82, 084025 (2010). Crossref, Web of Science, ADS, Google Scholar
26. K. Bakke and C. Furtado , Phys. Rev. D 80, 024033 (2009). Crossref, Web of Science, ADS, Google Scholar
27. E. Roza , Found. Phys. 50, 828 (2020). Crossref, Web of Science, ADS, Google Scholar
28. E. Roza , Results Phys. 6, 149 (2016). Crossref, Web of Science, ADS, Google Scholar
29. A. Vilenkin , Phys. Rep. 121, 263 (1985). Crossref, Web of Science, ADS, Google Scholar
30. A. Vilenkin , Phys. Lett. B 133, 177 (1983). Crossref, Web of Science, ADS, Google Scholar
31. B. Linet , Gen. Relativ. Gravit. 17, 1109 (1985). Crossref, Web of Science, ADS, Google Scholar
32. J. S. Dowker , Phys. Rev. D 36, 3095 (1987). Crossref, Web of Science, ADS, Google Scholar
33. T. W. Kibble , J. Phys. A: Math. Gen. 9, 1387 (1976). Crossref, ADS, Google Scholar
34. G. E. Volovik , Phys. Rep. 351, 195 (2001). Crossref, Web of Science, ADS, Google Scholar
35. G. E. Volovik , The Universe in a Helium Droplet, Vol. 117 ( Oxford University Press, Oxford, 2003). Google Scholar
36. D. Sokolov and A. A. Starobinskii , Sov. Phys. Dokl. 22, 312 (1977). ADS, Google Scholar
37. C. Furtado, F. Moraes and V. Bezerra , Phys. Rev. D 59, 107504 (1999). Crossref, Web of Science, ADS, Google Scholar
38. M. Azreg-Ainou and G. Clément , Class. Quantum Grav. 13, 2635 (1996). Crossref, Web of Science, ADS, Google Scholar
39. J. de Assis, C. Furtado and V. Bezerra , Phys. Rev. D 62, 045003 (2000). Crossref, Web of Science, ADS, Google Scholar
40. R. Vitória and K. Bakke , Eur. Phys. J. C 78, 1 (2018). Crossref, Web of Science, Google Scholar
41. S. Zare, H. Hassanabadi and M. de Montigny , Gen. Relativ. Gravit. 52, 1 (2020). Crossref, Web of Science, Google Scholar
42. A. Soares, R. Vitória and H. Aounallah , Eur. Phys. J. Plus 136, 966 (2021). Crossref, Web of Science, Google Scholar
43. S. Zare, H. Hassanabadi, G. Rampho and A. Ikot , Eur. Phys. J. Plus 135, 1 (2020). Crossref, Web of Science, Google Scholar
44. S. Zare, H. Hassanabadi and M. de Montigny , Eur. Phys. J. Plus 135, 1 (2020). Crossref, Web of Science, Google Scholar
45. H. Chen, S. Zare, H. Hassanabadi and Z.-W. Long , Indian J. Phys. 96, 4219 (2022). Crossref, Web of Science, ADS, Google Scholar
46. C. Furtado and F. Moraes , J. Phys. A: Math. Gen. 33, 5513 (2000). Crossref, Web of Science, ADS, Google Scholar
47. A. J. Silenko and O. V. Teryaev , Phys. Rev. D 76, 061101 (2007). Crossref, Web of Science, ADS, Google Scholar
48. Y. N. Obukhov , Eur. Phys. J. C 81, 1 (2021). Crossref, Web of Science, Google Scholar
49. Y. N. Obukhov, A. J. Silenko and O. V. Teryaev , Phys. Rev. D 94, 044019 (2016). Crossref, Web of Science, ADS, Google Scholar
50. S. N. Vergeles, N. N. Nikolaev, Y. N. Obukhov, A. Y. Silenko and O. V. Teryaev , Usp. Fiz. Nauk 193, 113 (2023). Google Scholar
51. Y. N. Obukhov, A. J. Silenko and O. V. Teryaev , Int. J. Mod. Phys. A 31, 1645030 (2016). Link, Web of Science, ADS, Google Scholar
52. N. Nikolaev and S. Vergele , J. High Energy Phys. 2020, 1 (2020). Crossref, Google Scholar
53. K. Valanis and V. Panoskaltsis , Acta Mech. 175, 77 (2005). Crossref, Web of Science, Google Scholar
54. K. Bakke and C. Furtado , Phys. Rev. A 87, 012130 (2013). Crossref, Web of Science, ADS, Google Scholar
55. A. Holz , Class. Quantum Grav. 5, 1259 (1988). Crossref, Web of Science, ADS, Google Scholar
56. A. De Padua, F. Parisio-Filho and F. Moraes , Phys. Lett. A 238, 153 (1998). Crossref, Web of Science, ADS, Google Scholar
57. N. D. Birrell and P. C. W. Davies , Quantum Fields in Curved Space (Cambridge University Press, 1984). Google Scholar
58. L. Parker and D. Toms , Quantum Field Theory in Curved Spacetime: Quantized Fields and Gravity ( Cambridge University Press, 2009). Crossref, Google Scholar
59. J. Yepez, arXiv:1106.2037. Google Scholar
60. A. Y. Silenko , Russ. Phys. J. 48, 788 (2005). Crossref, Google Scholar
61. L. Caldwell et al., Phys. Rev. A 108, 012804 (2023). Crossref, Web of Science, ADS, Google Scholar
62. T. S. Roussy et al., Science 381, 46 (2023). Crossref, Web of Science, ADS, Google Scholar
63. T. Zheng, Y. Yang, S.-Z. Wang, J. Singh, Z.-X. Xiong, T. Xia and Z.-T. Lu , Phys. Rev. Lett. 129, 083001 (2022). Crossref, Web of Science, ADS, Google Scholar
64. S. Zare, H. Hassanabadi and G. Junker , Eur. Phys. J. Plus 138, 1 (2023). Crossref, Web of Science, Google Scholar
65. A. A. Araújo Filho , Ann. Phys. 534, 2200383 (2022). Crossref, Web of Science, Google Scholar
66. A. A. Araújo Filho, Int. J. Geom. Methods Mod. Phys. 20, 2350226 (2023). Link, Web of Science, Google Scholar
67. A. A. Araújo Filho and J. Reis , Int. J. Mod. Phys. A 37, 2250071 (2022). Link, Web of Science, ADS, Google Scholar
68. J. Reis et al., arXiv:2209.08017. Google Scholar
69. R. R. Oliveira, A. A. Araújo Filho, F. C. Lima, R. V. Maluf and C. A. Almeida , Eur. Phys. J. Plus 134, 495 (2019). Crossref, Web of Science, Google Scholar
70. A. A. Araújo Filho, H. Hassanabadi, J. A. A. d. S. dos Reis and L. L. Santos , Phys. Scr. 98, 065943 (2023). Crossref, Web of Science, Google Scholar
71. A. A. Araújo Filho, J. Furtado, J. Reis and J. Silva , Class. Quantum Grav. 40, 245001 (2023). Crossref, Web of Science, ADS, Google Scholar
72. A. A. Araújo Filho, J. Furtado, H. Hassanabadi and J. Reis , Phys. Dark Universe 42, 101310 (2023). Crossref, Web of Science, Google Scholar
73. A. A. Araújo Filho and A. Y. Petrov , Int. J. Mod. Phys. A 36, 2150242 (2021), https://doi.org/10.1142/S0217751X21502420. Link, Web of Science, ADS, Google Scholar
74. A. A. Araújo Filho , Eur. Phys. J. Plus 136, 417 (2021). Crossref, Web of Science, Google Scholar
75. A. A. Araújo Filho and A. Y. Petrov , Eur. Phys. J. C 81, 843 (2021). Crossref, Web of Science, ADS, Google Scholar
76. J. Reis et al., Eur. Phys. J. Plus 136, 1 (2021). Crossref, Web of Science, Google Scholar
77. A. A. Araújo Filho and R. V. Maluf , Braz. J. Phys. 51, 820 (2021). Crossref, Web of Science, ADS, Google Scholar
78. A. A. Araújo Filho, J. Reis and S. Ghosh , Eur. Phys. J. Plus 137, 614 (2022). Crossref, Web of Science, Google Scholar
79. R. Oliveira, A. A. Araújo Filho, R. Maluf and C. Almeida , J. Phys. A: Math. Theor. 53, 045304 (2020). Crossref, Web of Science, Google Scholar
80. R. Oliveira et al., Eur. Phys. J. Plus 135, 99 (2020). Crossref, Web of Science, Google Scholar
81. A. Araújo Filho, H. Hassanabadi, N. Heidari, J. Kriz and S. Zare , Class. Quantum Grav. 41, 055003 (2024). Crossref, Web of Science, Google Scholar
82. N. Heidari, H. Hassanabadi, A. A. Araújo Filho, J. Kriz, S. Zare and P. Porfírio , Phys. Dark Universe 43, 101382 (2024). Crossref, Web of Science, Google Scholar
83. P. Sedaghatnia et al., arXiv:2302.11460. Google Scholar
84. A. A. Araújo Filho , Class. Quantum Grav. 41, 015003 (2023). Crossref, Google Scholar
85. A. A. Araújo Filho , Eur. Phys. J. C 84, 1 (2024). Crossref, Web of Science, Google Scholar
86. Y. Aharonov and J. Anandan , Phys. Rev. Lett. 58, 1593 (1987). Crossref, Web of Science, ADS, Google Scholar
87. A. Capolupo, S. Giampaolo, B. Hiesmayr and G. Vitiello , Phys. Lett. B 780, 216 (2018). Crossref, Web of Science, ADS, Google Scholar
88. A. Capolupo, S. M. Giampaolo, B. C. Hiesmayr, G. Lambiase and A. Quaranta, arXiv:2107.08719. Google Scholar
89. A. Capolupo et al., J. Phys. G: Nucl. Part. Phys. 50, 025001 (2023). Crossref, Web of Science, Google Scholar
90. L. Johns , Phys. Rev. D 105, 033002 (2022). Crossref, Web of Science, ADS, Google Scholar
91. R. K. Pathria , Statistical Mechanics ( Elsevier, 2016). Google Scholar