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A survey of existing and proposed classical and quantum approaches to the photon mass

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Abstract.

Over the past twenty years, there have been several careful experimental, observational and phenomenological investigations aimed at searching for and establishing ever tighter bounds on the possible mass of the photon. There are many fascinating and paradoxical physical implications that would arise from the presence of even a very small value for it, and thus such searches have always been well motivated in terms of the new physics that would result. We provide a brief overview of the theoretical background and classical motivations for this work and the early tests of the exactness of Coulomb’s law that underlie it. We then go on to address the modern situation, in which quantum physics approaches come to attention. Among them we focus especially on the implications that the Aharonov-Bohm and Aharonov-Casher class of effects have on searches for a photon mass. These arise in several different ways and can lead to experiments that might involve the interaction of magnetic dipoles, electric dipoles, or charged particles with suitable potentials. Still other quantum-based approaches employ measurements of the g-factor of the electron. Plausible target sensitivities for limits on the photon mass as sought by the various quantum approaches are in the range of 10-53 to 10-54 g. Possible experimental arrangements for the associated experiments are discussed. We close with an assessment of the state of the art and a prognosis for future work.

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References

  1. A.S. Goldhaber, M.M. Nieto, Rev. Mod. Phys. 43, 277 (1971)

    Article  ADS  Google Scholar 

  2. A.S. Goldhaber, M.M. Nieto, Rev. Mod. Phys. 82, 939 (2010)

    Article  ADS  Google Scholar 

  3. L.-C. Tu, J. Luo, G.T. Gillies, Rep. Prog. Phys. 68, 77 (2005)

    Article  ADS  Google Scholar 

  4. A. Proca, C. R. Acad. Sci., Paris 203, 709 (1936)

    Google Scholar 

  5. A. Proca, J. de Phys. et Rad., Ser. VII 8, 23 (1937)

    MATH  Google Scholar 

  6. A. Proca, J. de Phys. et Rad., Ser. VII 9, 61 (1938)

    MATH  Google Scholar 

  7. Y. Aharonov, D. Bohm, Phys. Rev. 115, 485 (1959)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. R.S. Van Dyck Jr., P.B. Schwinberg, H.G. Dehmelt, Phys. Rev. D 34, 722 (1986)

    Article  ADS  Google Scholar 

  9. D.G. Boulware, S. Deser, Phys. Rev. Lett. 63, 2319 (1989)

    Article  ADS  Google Scholar 

  10. C. Fuchs, Phys. Rev. D 42, 2940 (1990)

    Article  ADS  Google Scholar 

  11. K. Sangster, E.A. Hinds, S.M. Barnett, E. Riis, Phys. Rev. Lett. 71, 3641 (1993)

    Article  ADS  Google Scholar 

  12. K. Sangster, E.A. Hinds, S.M. Barnett, E. Riis, A.G. Sinclair, Phys. Rev. A 51, 1776 (1995)

    Article  ADS  Google Scholar 

  13. R.C. Casella, Phys. Rev. Lett. 65, 2217 (1990)

    Article  ADS  Google Scholar 

  14. J.P. Dowling, C.P. Williams, J.D. Franson, Phys. Rev. Lett. 83, 2486 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. G. Spavieri, Phys. Rev. Lett. 82, 3932 (1999)

    Article  ADS  Google Scholar 

  16. G. Spavieri, Phys. Rev. Lett. 81, 1533 (1998)

    Article  ADS  Google Scholar 

  17. G. Spavieri, Phys. Rev. A 59, 3194 (1999)

    Article  ADS  Google Scholar 

  18. G. Spavieri, Eur. Phys. J. D 37, 327 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  19. G. Spavieri, Phys. Lett. A 310, 13 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. V.M. Tkachuk, Phys. Rev. A 62, 052112 (2000)

    Article  ADS  Google Scholar 

  21. G. Spavieri, G.T. Gillies, M. Rodriguez, Metrologia 41, S159 (2004)

    Article  ADS  Google Scholar 

  22. M. Rodriguez, Rev. Mex. Fís. 55, 373 (2009)

    Google Scholar 

  23. G. Spavieri, M. Rodriguez, Phys. Rev. A 75, 052113 (2007)

    Article  ADS  Google Scholar 

  24. B. Neyenhuis, D. Christensen, D.S. Durfee, Phys. Rev. Lett. 99, 200401 (2007)

    Article  ADS  Google Scholar 

  25. S. Weinberg, Phys. Rev. 135, B1049 (1964)

    Article  MathSciNet  ADS  Google Scholar 

  26. E.C.G. Stueckelberg, Helv. Phys. Acta 30, 209 (1957)

    MathSciNet  MATH  Google Scholar 

  27. W. Greiner, J. Reinhardt, Field Quantization (Springer, New York, 1996)

  28. J. Priestley, The History and Present State of Electricity with Original experiments (London, 1767), Vol. 2, Part. VIII, Sect. XVI, Sub. XV. The third edition has been printed by Johnson Reprint Corp. (New York, 1966)

  29. B. Franklin, Benjamin Franklin’s Experiments (1774), a new edition of Franklin’s Experiments and observations on Electricity, edited by I.B. Cohen (Harvard U.P., Cambridge, Mass., 1941), pp. 72, 336

  30. J. Robison, Electricity, in Encyclopaedia Britannica, 3rd edn. (Thomson Boner, Parliamment Square, Edinburgh, 1803), Vol. 19, p. 558

  31. C.A. Coulomb, Mémoires de l’Académie Royale des Sciences (Académie Royale des Sciences, Paris, 1784), pp. 229-236

  32. H. Cavendish, in The Electrical Researches of the Honourable Henry Cavendish, edited by J.C. Maxwell (Cambridge University Press, London, 1879), pp. 104-112

  33. J.C. Maxwell, A Treatise on Electricity and Magnetism, 3rd edn. (Oxford University Press, Oxford, 1892), Vol. I, p. 80

  34. L. de Broglie, Théorie géneérale des Particules à Spin, 2nd edn. (Gauthier-Villars, Paris, 1954), p. 190

  35. M.A. Gintsburg, Astron. Zh. 40, 703 (1963)

    ADS  Google Scholar 

  36. M.A. Gintsburg, Sov. Astron. AJ 7, 536 (1964)

    ADS  Google Scholar 

  37. V.L. Patel, Phys. Lett. 14, 105 (1965)

    Article  ADS  MATH  Google Scholar 

  38. E. Schrodinger, Proc. Roy. Irish Acad. A 49, 135 (1943b)

    MathSciNet  Google Scholar 

  39. A.S. Goldhaber, M.M. Nieto, Rev. Mod. Phys. 43, 277 (1971)

    Article  ADS  Google Scholar 

  40. G.D. Cochran, P.A. Franken, Bull. Am. Phys. Soc. 13, 1379 (1968)

    Google Scholar 

  41. D.F. Bartlett, E.A. Phillips, Bull. Am. Phys. Soc. 14, 17 (1969)

    Google Scholar 

  42. S.J. Plimpton, W.E. Lawton, Phys. Rev. 50, 1066 (1936)

    Article  ADS  Google Scholar 

  43. D.F. Bartlett, P.E. Goldhagen, E.A. Phillips, Phys. Rev. D 2, 483 (1970)

    Article  ADS  Google Scholar 

  44. E.R. Williams, J.E. Faller, H.A. Hill, Phys. Rev. Lett. 26, 721 (1971)

    Article  ADS  Google Scholar 

  45. L. Davis, A.S. Goldhaber, M.M. Nieto, Phys. Rev. Lett. 35, 1402 (1975)

    Article  ADS  Google Scholar 

  46. G.V. Bicknell, J. Phys. A 10, 407 (1977)

    Article  ADS  Google Scholar 

  47. E. Schrödinger, Proc. R. Irish. Acad. A 49, 135 (1943)

    MATH  Google Scholar 

  48. D.D. Lowenthal, Phys. Rev. D 8, 2349 (1973)

    Article  ADS  Google Scholar 

  49. J.J. Ryan, F. Accetta, R.H. Austin, Phys. Rev. D 32, 802 (1985)

    Article  ADS  Google Scholar 

  50. R. Lakes, Phys. Rev. Lett. 80, 1826 (1998)

    Article  ADS  Google Scholar 

  51. G.T. Gillies, R.C. Ritter, Rev. Sci. Instrum. 64, 283 (1993)

    Article  ADS  Google Scholar 

  52. Jun Luo, Liang-Cheng Tu, Zhong-Kun ., En-Jie Luan, Phys. Rev. Lett. 90, 081801 (2003)

    Article  ADS  Google Scholar 

  53. A.S. Goldhaber, M.M. Nieto, Phys. Rev. Lett. 91, 149101 (2003)

    Article  ADS  Google Scholar 

  54. A.S. Goldhaber, M.M. Nieto, Phys. Rev. Lett. 21, 567 (1968)

    Article  ADS  Google Scholar 

  55. E. Williams, D. Park, Phys. Rev. Lett. 26, 1651 (1971)

    Article  ADS  Google Scholar 

  56. J.C. Byrne, R.R. Burman, Nature 253, 27 (1975)

    Article  ADS  Google Scholar 

  57. G.V. Chibisov, Usp. Fiz. Nauk 119, 551 (1976)

    Article  ADS  Google Scholar 

  58. P. de Bernardis, S. Masi, F. Melchiorri, A. Moleti, Astrophys. J. 284, L21 (1984)

    Article  ADS  Google Scholar 

  59. D.D. Ryutov, Plasma Phys. Control. Fusion 49, B429 (2007)

    Article  ADS  Google Scholar 

  60. R.G. Chambers, Phys. Rev. Lett. 5, 3 (1960)

    Article  ADS  Google Scholar 

  61. A. Tomonura, N. Osakabe, T. Matsuda, T. Kawasaki, J. Endo, S. Yano, H. Yamada, Phys. Rev. Lett. 56, 792 (1986)

    Article  ADS  Google Scholar 

  62. Y. Aharonov, A. Casher, Phys. Rev. Lett. 53, 319 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  63. A. Cimmino, G.I. Opat, A.G. Klein, H. Kaiser, S.A. Werner, M. Arif, R. Clothier, Phys. Rev. Lett. 63, 380 (1989)

    Article  ADS  Google Scholar 

  64. H.G. He, B.H.J. McKellar, Phys. Rev. A 47, 3424 (1993)

    Article  ADS  Google Scholar 

  65. M. Wilkens, Phys. Rev. A 49, 570 (1994)

    Article  ADS  Google Scholar 

  66. M. Wilkens, Phys. Rev. Lett. 72, 5 (1994)

    Article  ADS  Google Scholar 

  67. G. Spavieri, Phys. Rev. Lett. 81, 1533 (1988)

    Article  ADS  Google Scholar 

  68. M. Wilkens, Phys. Rev. Lett. 81, 1534 (1988)

    Article  ADS  Google Scholar 

  69. S. Miyamoto, O. Moutanabbir, T. Ishikawa, M. Eto, E. Haller, K. Sawano, Y. Shiraki, Y. Itoh (2010), eprint arXiv:1002.2393

  70. G. Spavieri, G.T. Gillies, Grav. Cosmol. 16, 251 (2010)

    Article  ADS  MATH  Google Scholar 

  71. Z.T. Lu, K.L. Corwin, M.J. Renn, M.H. Anderson, E.A. Cornell, C.E. Wieman, Phys. Rev. Lett. 77, 3331 (1996)

    Article  ADS  Google Scholar 

  72. D.H. Kobe, Am. J. Phys. 54, 632 (1986)

    ADS  Google Scholar 

  73. A.S. Goldhaber, M.M. Nieto, Rev. Mod. Phys. 43, 277 (1971)

    Article  ADS  Google Scholar 

  74. M.A. Chernikov, C.I. Gerber, H.R. Ott, H.J. Gerber, Phys. Rev. Lett. 68, 3383 (1992)

    Article  ADS  Google Scholar 

  75. L. Bass, E. Schrödinger, Proc. R. Soc. Lond. A 232, 1 (1955)

    Article  ADS  MATH  Google Scholar 

  76. E. Fishbach et al., Phys. Rev. Lett. 73, 514 (1994)

    Article  ADS  Google Scholar 

  77. T. Prokopec, O. Törnkvist, R. Woodard, Phys. Rev. Lett. 89, 101301 (2002)

    Article  ADS  Google Scholar 

  78. J. Torres-Hernández, Phys. Rev. A 32, 623 (1985)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Centro de Física Fundamental, Universidad de Los Andes, 5101, Mérida, Venezuela

    G. Spavieri & J. Quintero

  2. Department of Physics, University of Virginia, Charlottesville, VA, 22904-4714, USA

    G. T. Gillies

  3. Departamento de Física, FACYT, Universidad de Carabobo, Valencia, Venezuela

    M. Rodríguez

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  1. G. Spavieri
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  2. J. Quintero
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  3. G. T. Gillies
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  4. M. Rodríguez
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Correspondence to G. T. Gillies.

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Spavieri, G., Quintero, J., Gillies, G. et al. A survey of existing and proposed classical and quantum approaches to the photon mass. Eur. Phys. J. D 61, 531–550 (2011). https://doi.org/10.1140/epjd/e2011-10508-7

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