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Magnetic moment generation from non-minimal couplings in a scenario with Lorentz-symmetry violation

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Abstract

This paper deals with situations that illustrate how the violation of Lorentz symmetry in the gauge sector may contribute to magnetic moment generation of massive neutral particles with spin- \(\frac {1}{2}\) and spin-1. The procedure we adopt here is based on Relativistic Quantum Mechanics. We work out the non-relativistic regime that follows from the wave equation corresponding to a certain particle coupled to an external electromagnetic field and a background that accounts for the Lorentz-symmetry violation, and we thereby read off the magnetic dipole moment operator for the particle under consideration. We keep track of the parameters that govern the non-minimal electromagnetic coupling and the breaking of Lorentz symmetry in the expressions we get for the magnetic moments in the different cases we contemplate. Our claim is that the tiny magnetic dipole moment of truly-elementary neutral particles might signal Lorentz-symmetry violation.

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References

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  3. L. Campanelli, P. Cea, arXiv:0812.3745 [astro-ph]

  4. V.A. Kostelecky, S. Samuel, Phys. Rev. Lett. 63, 224 (1989)

    ADS  Google Scholar 

  5. V.A. Kostelecky, S. Samuel, Phys. Rev. Lett. 66, 1811 (1991)

    ADS  Google Scholar 

  6. V.A. Kostelecky, S. Samuel, Phys. Rev. D 39, 683 (1989)

    ADS  Google Scholar 

  7. V.A. Kostelecky, S. Samuel, Phys. Rev. D 40, 1886 (1989)

    ADS  Google Scholar 

  8. V.A. Kostelecky, R. Potting, Nucl. Phys. B 359, 545 (1991)

    ADS  MathSciNet  Google Scholar 

  9. V.A. Kostelecky, R. Potting, Phys. Lett. B 381, 89 (1996)

    ADS  Google Scholar 

  10. V.A. Kostelecky, R. Potting, Phys. Rev. D 51, 3923 (1995)

    ADS  Google Scholar 

  11. S.M. Carroll, G.B. Field, R. Jackiw, Phys. Rev. D 41, 1231 (1990)

    ADS  Google Scholar 

  12. C. Adam, F.R. Klinkhamer, Nucl. Phys. B 607, 247 (2001)

    MATH  ADS  Google Scholar 

  13. C. Adam, F.R. Klinkhamer, Nucl. Phys B. 657, 214 (2003)

    ADS  Google Scholar 

  14. C. Adam, F.R. Klinkhamer, Phys. Lett. B 513, 245 (2001)

    MATH  ADS  Google Scholar 

  15. C. Kaufhold, F.R. Klinkhamer, Nucl. Phys. B 734, 1 (2006)

    MATH  ADS  Google Scholar 

  16. R. Montemayor, L.F. Urrutia, Phys. Rev. D 72, 045018 (2005)

    ADS  Google Scholar 

  17. X. Xue, J. Wu, Eur. Phys. J. C 48, 257 (2006)

    ADS  Google Scholar 

  18. A.A. Andrianov, R. Soldati, Phys. Rev. D 51, 5961 (1995)

    ADS  Google Scholar 

  19. A.A. Andrianov, R. Soldati, Phys. Lett. B 435, 449 (1998)

    ADS  Google Scholar 

  20. A.A. Andrianov, R. Soldati, L. Sorbo, Phys. Rev. D 59, 025002 (1999)

    ADS  MathSciNet  Google Scholar 

  21. Q.G. Bailey, V.A. Kostelecky, Phys. Rev. D 70, 076006 (2004)

    ADS  Google Scholar 

  22. M. Frank, I. Turan, Phys. Rev. D 74, 033016 (2006)

    ADS  Google Scholar 

  23. B. Altschul, Phys. Rev. D 72, 085003 (2005)

    ADS  Google Scholar 

  24. R. Lehnert, R. Potting, Phys. Rev. Lett. 93, 110402 (2004)

    ADS  Google Scholar 

  25. R. Lehnert, R. Potting, Phys. Rev. D 70, 125010 (2004)

    ADS  Google Scholar 

  26. B. Altschul, Phys. Rev. Lett. 98, 041603 (2007)

    ADS  Google Scholar 

  27. B. Altschul, Phys. Rev. D 73, 036005 (2006)

    ADS  MathSciNet  Google Scholar 

  28. B. Altschul, Phys. Rev. D 73, 045004 (2006)

    ADS  MathSciNet  Google Scholar 

  29. H.M. Belich, M. Ferreira Jr., J.A. Helayel-Neto, M.T.D. Orlando, Phys. Rev. D 67, 125011 (2003)

    ADS  MathSciNet  Google Scholar 

  30. H.M. Belich, M. Ferreira Jr., J.A. Helayel-Neto, M.T.D. Orlando, Phys. Rev. D 69, 109903 (2004)

    ADS  MathSciNet  Google Scholar 

  31. H. Belich, M.M. Ferreira Jr., J.A. Helayel-Neto, M.T.D. Orlando, Phys. Rev. D 68, 025005 (2003)

    ADS  MathSciNet  Google Scholar 

  32. A.P. Baêta Scarpelli, H. Belich, J.L. Boldo, J.A. Helaeyl-Neto, Phys. Rev. D 67, 085021 (2003)

    ADS  Google Scholar 

  33. H. Belich , Nucl. Phys. B 127, 105 (2004)

    Google Scholar 

  34. H. Belich, M.M. Ferreira Jr., J.A. Helayel-Neto, Eur. Phys. J. C 38, 511 (2005)

    ADS  Google Scholar 

  35. H. Belich, T. Costa-Soares, M.M. Ferreira Jr., J.A. Helayël-Neto, Eur. Phys. J. C 42, 127 (2005)

    ADS  Google Scholar 

  36. M.B. Cantcheff, Eur. Phys. J. C 46, 247–254 (2006)

    ADS  Google Scholar 

  37. H. Belich , Rev. Ensin. Fis. 29, 57 (2007)

    Google Scholar 

  38. R. Jackiw, V.A. Kostelecký, Phys. Rev. Lett. 82, 3572 (1999)

    ADS  Google Scholar 

  39. J.M. Chung, B.K. Chung, Phys. Rev. D 63, 105015 (2001)

    ADS  Google Scholar 

  40. J.M. Chung, Phys. Rev. D 60, 127901 (1999)

    ADS  Google Scholar 

  41. G. Bonneau, Nucl. Phys. B 593, 398 (2001)

    MATH  ADS  MathSciNet  Google Scholar 

  42. M. Perez-Victoria, Phys. Rev. Lett 83, 2518 (1999)

    ADS  Google Scholar 

  43. M. Perez-Victoria, J. High Energy Phys. 0104, 032 (2001)

    ADS  MathSciNet  Google Scholar 

  44. O.A. Battistel, G. Dallabona, Nucl. Phys. B 610, 316 (2001)

    MATH  ADS  Google Scholar 

  45. O.A. Battistel, G. Dallabona, J. Phys. G 28, L23 (2002)

    ADS  Google Scholar 

  46. O.A. Battistel, G. Dallabona, J. Phys. G 27, L53 (2002)

    Google Scholar 

  47. A.P. Baêta Scarpelli, M. Sampaio, M.C. Nemes, B. Hiller, Phys. Rev. D 64, 046013 (2001)

    ADS  Google Scholar 

  48. F.A. Brito, T. Mariz, J.R. Nascimento, E. Passos, R.F. Ribeiro, J. High. Energy Phys. 0510, 019 (2005)

    MathSciNet  Google Scholar 

  49. B. Altschul, Phys. Rev. D 70, 056005 (2004)

    ADS  Google Scholar 

  50. G.M. Shore, Nucl. Phys. B 717, 86 (2005)

    MATH  ADS  Google Scholar 

  51. D. Colladay, V.A. Kostelecky, Phys. Lett. B 511, 209 (2001)

    ADS  Google Scholar 

  52. M.M. Ferreira Jr., Phys. Rev. D 70, 045013 (2004)

    ADS  Google Scholar 

  53. M.M. Ferreira Jr., Phys. Rev. D 71, 045003 (2005)

    ADS  MathSciNet  Google Scholar 

  54. M.M. Ferreira Jr., M.S. Tavares, Int. J. Mod. Phys. A. 22, 1685 (2007)

    MATH  ADS  Google Scholar 

  55. J. Alfaro, A.A. Andrianov, M. Cambiaso, P. Giacconi, R. Soldati, Phys. Lett. B 639, 586–590 (2006)

    ADS  Google Scholar 

  56. V. Barger, S. Pakvasa, T.J. Weiler, K. Whisnant, Phys. Rev. Lett. 85, 5055 (2000)

    ADS  Google Scholar 

  57. V.A. Kostelecky, M. Mewes, Phys. Rev. D 69, 016005 (2004)

    ADS  Google Scholar 

  58. V.A. Kostelecky, M. Mewes, Phys. Rev. D 70, 031902 (2004)

    ADS  Google Scholar 

  59. V.A. Kostelecky, M. Mewes, Phys. Rev. D 70, 076002 (2004)

    ADS  Google Scholar 

  60. T. Katori, A. Kostelecky, R. Tayloe, Phys. Rev. D 74, 105009 (2006)

    ADS  Google Scholar 

  61. R. Brustein, D. Eichler, S. Foffa, Phys. Rev. D 65, 105006 (2002)

    ADS  MathSciNet  Google Scholar 

  62. Y. Grossman, C. Kilic, J. Thaler, D.G.E. Walker, Phys. Rev. D 72, 125001 (2005)

    ADS  Google Scholar 

  63. L.B. Auerbach , Phys. Rev. D 72, 076004 (2005)

    ADS  Google Scholar 

  64. D. Hooper, D. Morgan, E. Winstanley, Phys. Rev. D 72, 065009 (2005)

    ADS  Google Scholar 

  65. M. Lubo, Phys. Rev. D 71, 047701 (2005)

    ADS  Google Scholar 

  66. M.N. Barreto, D. Bazeia, R. Meneses, Phys. Rev. D 73, 065015 (2006)

    ADS  Google Scholar 

  67. H. Belich, T. Costa-Soares, M.M. Ferreira Jr., J.A. Helayël-Neto, M.T.D. Orlando, Phys. Lett. B 639, 678 (2006)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  69. O. Gagnon, G.D. Moore, Phys. Rev. D 70, 065002 (2004)

    ADS  Google Scholar 

  70. J.W. Moffat, Int. J. Mod. Phys. D 12, 1279 (2003)

    MATH  ADS  MathSciNet  Google Scholar 

  71. F.W. Stecker, S.T. Scully, Astropart. Phys. 23, 203 (2005)

    ADS  Google Scholar 

  72. F.W. Stecker, S.L. Glashow, Astropart. Phys. 16, 97 (2001)

    ADS  Google Scholar 

  73. P.A. Bolokhov, S.G. Nibbelink, M. Pospelov, Phys. Rev. D 72, 015013 (2005)

    ADS  Google Scholar 

  74. H. Belich , Phys. Rev. D 68, 065030 (2003)

    ADS  MathSciNet  Google Scholar 

  75. S.G. Nibbelink, M. Pospelov, Phys. Rev. Lett. 94, 081601 (2005)

    ADS  MathSciNet  Google Scholar 

  76. H. Belich , Phys. Lett. A 370, 126–130 (2007)

    ADS  Google Scholar 

  77. E.O. Iltan, Eur. Phys. J. C 40, 269 (2005)

    ADS  Google Scholar 

  78. E.O. Iltan, Mod. Phys. Lett. A 19, 327 (2004)

    MATH  ADS  Google Scholar 

  79. E.O. Iltan, J. High Energy Phys. 0306, 016 (2003)

    Google Scholar 

  80. V.A. Kostelecky, R. Lehnert, Phys. Rev. D 63, 065008 (2001)

    ADS  MathSciNet  Google Scholar 

  81. R. Lehnert, Phys. Rev. D 68, 085003 (2003)

    ADS  MathSciNet  Google Scholar 

  82. H. Belich, M.A. De Andrade, M.A. Santos, Mod. Phys. Lett. A 20, 2305 (2005)

    MATH  ADS  Google Scholar 

  83. H. Belich, T. Costa-Soares, M.M. Ferreira Jr., J.A. Helayël-Neto, M.T.D. Orlando, Int. J. Mod. Phys. A 21, 2415 (2006)

    ADS  Google Scholar 

  84. A.P. Baeta Scarpelli, J.A. Helayel-Neto, Phys. Rev. D 73, 105020 (2006)

    ADS  Google Scholar 

  85. N.M. Barraz Jr., J.M. Fonseca, W.A. Moura-Melo, J.A. Helayel-Neto, Phys. Rev. D 76, 027701 (2007)

    ADS  Google Scholar 

  86. S.R. Coleman, S.L. Glashow, Phys. Rev. D 59, 116008 (1999)

    ADS  Google Scholar 

  87. V.A. Kostelecky, M. Mewes, Phys. Rev. Lett. 87, 251304 (2001)

    ADS  Google Scholar 

  88. V.A. Kostelecky, M. Mewes, Phys. Rev. D 66, 056005 (2002)

    ADS  Google Scholar 

  89. J. Lipa , Phys. Rev. Lett. 90, 060403 (2003)

    ADS  Google Scholar 

  90. R. Bluhm, V.A. Kostelecky, N. Russell, Phys. Rev. Lett. 79, 1432 (1997)

    ADS  Google Scholar 

  91. R. Bluhm, V.A. Kostelecky, N. Russell, Phys. Rev. D 57, 3932 (1998)

    ADS  Google Scholar 

  92. R. Bluhm, V.A. Kostelecky, C.D. Lane, N. Russell, Phys. Rev. Lett. 88, 090801 (2002)

    ADS  Google Scholar 

  93. R. Bluhm, V.A. Kostelecky, Phys. Rev. Lett. 84, 1381 (2000)

    ADS  Google Scholar 

  94. R. Bluhm, V.A. Kostelecky, C.D. Lane, Phys. Rev. Lett. 84, 1098 (2000)

    ADS  Google Scholar 

  95. V.A. Kostelecky, N. Russell, Phys. Rev. Lett. 82, 2254 (1999)

    ADS  Google Scholar 

  96. V.A. Kostelecky, C. Lane, Phys. Rev. D 60, 116010 (1999)

    ADS  Google Scholar 

  97. V.A. Kostelecky, C.D. Lane, J. Math. Phys. 40, 6245 (1999)

    MATH  ADS  MathSciNet  Google Scholar 

  98. R. Lehnert, J. Math. Phys. 45, 3399 (2004)

    MATH  ADS  MathSciNet  Google Scholar 

  99. M.M. Ferreira Jr., F.M.O. Moucherek, Int. J. Mod. Phys. A 21, 6211 (2006)

    MATH  ADS  Google Scholar 

  100. M.M. Ferreira Jr., F.M.O. Moucherek, Nucl. Phys. A 790, 635 (2007)

    ADS  Google Scholar 

  101. S. Chen, B. Wang, R. Su, Class. Quantum Gravity 23, 7581 (2006)

    MATH  ADS  MathSciNet  Google Scholar 

  102. O.G. Kharlanov, V.Ch. Zhukovsky, J. Math. Phys. 48, 092302 (2007)

    ADS  MathSciNet  Google Scholar 

  103. M. Frank, I. Turan, I. Yurdusen, arXiv:0709.4276 [hep-th]

  104. H. Belich, T. Costa-Soares, M.M. Ferreira Jr., J.A. Helayël-Neto, F.M.O. Moucherek, Phys. Rev. D 74, 065009 (2006)

    ADS  MathSciNet  Google Scholar 

  105. H. Muller, C. Braxmaier, S. Herrmann, A. Peters, Phys. Rev. D 67, 056006 (2003)

    ADS  Google Scholar 

  106. H. Müller, A. Saenz, A. Peters, C. Lämmerzahl, Phys. Rev. D 68, 116006 (2003)

    ADS  Google Scholar 

  107. H. Müller, Phys. Rev. D 71, 045004 (2005)

    ADS  Google Scholar 

  108. N. Russell, Phys. Scr. 72, C38 (2005)

    Google Scholar 

  109. D.F. Phillips, M.A. Humphrey, E.M. Mattison, R.E. Stoner, R.F.C. Vessot, R.L. Walsworth, Phys. Rev. D 63, 111101 (2001)

    ADS  Google Scholar 

  110. D. Bear, R.E. Stoner, R.L. Walsworth, V.A. Kostelecky, C.D. Lane, Phys. Rev. Lett. 85, 5038 (2000). Erratum: Phys. Rev. Lett. 89, 209902 (2002)

    ADS  Google Scholar 

  111. M.A. Humphrey, D.F. Phillips, R.L. Walsworth, Phys. Rev. A 68, 063807 (2003)

    ADS  Google Scholar 

  112. F.J. Belifante, Phys. Rev. 92, 997 (1953)

    ADS  Google Scholar 

  113. K.M. Kase, Phys. Rev. 94, 1442 (1954)

    Google Scholar 

  114. C. Fronsdal, Nuovo Cim. Suppl. 9, 416 (1958)

    MathSciNet  Google Scholar 

  115. J. Schwinger, Particles, Sources, and Fields (Addison-Wesley, Reading, 1970)

    Google Scholar 

  116. T.D. Lee, C.N. Yang, Phys. Rev. 128(2), 885–898 (1962)

    MATH  ADS  MathSciNet  Google Scholar 

  117. S. Weinberg, Lectures on elementary particles and quantum field theory, in Proceedings of the Summer Institute, Brandeis University, vol. 1, ed. by S. Deser (MIT Press, Cambridge, 1970)

    Google Scholar 

  118. S. Ferrara, M. Porrati, V. Telegdi, Phys. Rev. D 46, 3529–3537 (1992)

    ADS  Google Scholar 

  119. L.P. Colatto, A.L.A. Penna, W.C. Santos, Eur. Phys. J. C 36, 79–87 (2004)

    ADS  Google Scholar 

  120. J. Schechter, J.W.F. Valle, Phys. Rev. D 24, 1883–1889 (1981). Erratum: Phys. Rev. D 25, 283 (1982)

    ADS  Google Scholar 

  121. M. Trodden, S.M. Carroll, arXiv:astro-ph/0401547

  122. S.K. Paul, A. Khare, Phys. Lett. B 174, 420 (1986)

    ADS  MathSciNet  Google Scholar 

  123. N.F. Bell, M. Gorchtein, M.J. Ramsey-Musolf, P. Vogel, P. Wang, Phys. Lett. B 642, 377–383 (2006)

    ADS  Google Scholar 

  124. N.F. Bell, Int. J. Mod. Phys. A 22, 4891 (2007)

    ADS  Google Scholar 

  125. N.F. Bell, V. Cirigliano, M.J. Ramsay-Musolf, P. Vogel, M.B. Wise, Phys. Rev. Lett. 95, 151802 (2005)

    ADS  Google Scholar 

  126. S. Villalba-Chávez, H. Pérez-Rojas, hep-th/0609008

  127. S. Villalba-Chávez, H. Pérez-Rojas, hep-th/0604059

  128. F.R. Klinkhamer, M. Shreck, arXiv:0809.3217

  129. A.J. Hanson, Visualizing Quaternions (Elsevier, Amsterdam, 2006)

    Google Scholar 

  130. W.-M. Yao , Review of particle physics. J. Phys. G 33, 1 (2006)

    ADS  Google Scholar 

  131. S. Reinhardt , Nat. Phys. 3, 861 (2007)

    Google Scholar 

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Authors and Affiliations

  1. Departamento de Física e Química, Universidade Federal do Espírito Santo (UFES), Av. Fernando Ferrari S/N, Vitória, ES, 29060-900, Brasil

    H. Belich & M. T. D. Orlando

  2. CEFET-RJ UnED-Petrópolis, Rua do Imperador, 971, Petrópolis, RJ, 25620-003, Brasil

    L. P. Colatto

  3. Colégio Técnico Universitário, Universidade Federal de Juiz de Fora (UFJF), Av. Bernardo Mascarenhas 1283, Juiz de Fora, MG, 36080-001, Brasil

    T. Costa-Soares

  4. CBPF–Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, Rio de Janeiro, RJ, 22290-180, Brasil

    J. A. Helayël-Neto

  5. International Center for Condensed Matter Physics, Universidade de Brasilia, CP 04513, Brasilia, DF, 70904-970, Brasil

    H. Belich

  6. Grupo de Física Teórica José Leite Lopes, CP 91933, Petrópolis, RJ, 25685-970, Brasil

    H. Belich, L. P. Colatto, T. Costa-Soares, J. A. Helayël-Neto & M. T. D. Orlando

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  1. H. Belich
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Belich, H., Colatto, L.P., Costa-Soares, T. et al. Magnetic moment generation from non-minimal couplings in a scenario with Lorentz-symmetry violation. Eur. Phys. J. C 62, 425–432 (2009). https://doi.org/10.1140/epjc/s10052-009-1017-z

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