Jump to ContentJump to Main Navigation

Open Physics

formerly Central European Journal of Physics

1 Issue per year


IMPACT FACTOR increased in 2014: 1.085

SCImago Journal Rank (SJR) 2014: 0.372
Source Normalized Impact per Paper (SNIP) 2014: 0.650
Impact per Publication (IPP) 2014: 1.000

Open Access
VolumeIssuePage

Issues

Singularity-free model of electric charge in physical vacuum: non-zero spatial extent and mass generation

1159Department of Theoretical and Nuclear Physics, Kazakh National University, Almaty, 010008, Kazakhstan

2159Institut für Physik, Universität Oldenburg, Postfach 2503, D-26111, Oldenburg, Germany

3159School of Chemistry and Physics, University of KwaZulu-Natal, Private Bag X01, Scottsville, 3209, Pietermaritzburg, South Africa

© 2013 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

Citation Information: Open Physics. Volume 11, Issue 3, Pages 325–335, ISSN (Online) 2391-5471, DOI: 10.2478/s11534-012-0159-z, March 2013

Publication History

Published Online:
2013-03-28

Abstract

We propose a model of a spinless electrical charge as a self-consistent field configuration of the electromagnetic (EM) field interacting with a physical vacuum effectively described by the logarithmic quantum Bose liquid. We show that, in contrast to the EM field propagating in a trivial vacuum, a regular solution does exist, and both its mass and spatial extent emerge naturally from dynamics. It is demonstrated that the charge and energy density distribution acquire Gaussian-like form. The solution in the logarithmic model is stable and energetically favourable, unlike that obtained in a model with a quartic (Higgs-like) potential.

Keywords: particle model; electric charge; divergence-free solution; mass generation mechanism; superfluid vacuum

  • [1] A. W. Stern, Science 116, 493 (1952) http://dx.doi.org/10.1126/science.116.3019.493 [CrossRef]

  • [2] F. J. Dyson, Phys. Rev. 85, 631 (1952) http://dx.doi.org/10.1103/PhysRev.85.631 [CrossRef]

  • [3] L. Van Hove, Physica 18, 145 (1952) http://dx.doi.org/10.1016/S0031-8914(52)80017-5 [CrossRef]

  • [4] P. A. M. Dirac, Sci. Am. 208, 45 (1963) http://dx.doi.org/10.1038/scientificamerican0563-45 [CrossRef]

  • [5] R. P. Feynman, QED — The Strange Theory of Light and Matter (Penguin, London, 1990)

  • [6] M. Abraham, Phys. Z. 4, 57 (1902)

  • [7] M. Abraham, Ann. Phys.-Berlin 315, 105 (1902) http://dx.doi.org/10.1002/andp.19023150105 [CrossRef]

  • [8] H. A. Lorentz, In: Enzyklopädie der Mathematischen Wissenschaften Vol. 5 (Leipzig, Teubner, 1905–1922) 145

  • [9] R. Gautreau, Phys. Rev. D 31, 1860 (1985) http://dx.doi.org/10.1103/PhysRevD.31.1860 [CrossRef]

  • [10] W. Appel, M. K. H. Kiessling, Ann. Phys.-New York 289, 24 (2001) http://dx.doi.org/10.1006/aphy.2000.6119 [CrossRef]

  • [11] P. A. M. Dirac, P. R. Soc. A 268, 57 (1962) http://dx.doi.org/10.1098/rspa.1962.0124 [CrossRef]

  • [12] P. Gnadig, Z. Kunszt, P. Hasenfratz, J. Kuti, Ann. Phys.-New York 116, 380 (1978) http://dx.doi.org/10.1016/0003-4916(78)90238-5 [CrossRef]

  • [13] T. Fliessbach, Am. J. Phys. 49, 432 (1981) http://dx.doi.org/10.1119/1.12692 [CrossRef]

  • [14] A. O. Barut, M. Pavsic, Phys. Lett. B 306, 49 (1993) http://dx.doi.org/10.1016/0370-2693(93)91136-B [CrossRef]

  • [15] J. A. Wheeler, Geometrodynamics (Academic Press, New York, 1962)

  • [16] M. Born, L. Infeld, P. R. Soc. A 144, 425 (1934) http://dx.doi.org/10.1098/rspa.1934.0059 [CrossRef]

  • [17] K. A. Bronnikov, V. N. Melnikov, G. N. Shikin, K. P. Staniukowicz, Ann. Phys.-New York 118, 84 (1979) http://dx.doi.org/10.1016/0003-4916(79)90235-5 [CrossRef]

  • [18] F. Finster, J. Smoller, S.-T. Yau, Phys. Lett. A 259, 431 (1999) http://dx.doi.org/10.1016/S0375-9601(99)00457-0 [CrossRef]

  • [19] F. Finster, J. Smoller, S.-T. Yau, Phys. Rev. D 59, 104020 (1999) http://dx.doi.org/10.1103/PhysRevD.59.104020 [CrossRef]

  • [20] A. B. Datzeff, Phys. Lett. A 80, 6 (1980) http://dx.doi.org/10.1016/0375-9601(80)90438-7 [CrossRef]

  • [21] W. B. Bonnor, F. I. Cooperstock, Phys. Lett. A 139, 442 (1989) http://dx.doi.org/10.1016/0375-9601(89)90941-9 [CrossRef]

  • [22] L. Herrera, V. Varela, Phys. Lett. A 189, 11 (1994) http://dx.doi.org/10.1016/0375-9601(94)90809-5 [CrossRef]

  • [23] M. A. Markov, Ann. Phys.-New York 59, 109 (1970) http://dx.doi.org/10.1016/0003-4916(70)90397-0 [CrossRef]

  • [24] M. A. Markov, V. P. Frolov, Teoreticheskaya i Matematischeskaya Fizika 13, 41 (1972)

  • [25] E. Ayon-Beato, A. Garcia, Phys. Rev. Lett. 80, 5056 (1998) http://dx.doi.org/10.1103/PhysRevLett.80.5056 [CrossRef]

  • [26] K. A. Bronnikov, Phys. Rev. Lett. 85, 4641 (2000) http://dx.doi.org/10.1103/PhysRevLett.85.4641 [CrossRef]

  • [27] S. Habib Mazharimousavi, M. Halilsoy, Phys. Lett. B 678, 407 (2009) http://dx.doi.org/10.1016/j.physletb.2009.06.049 [CrossRef]

  • [28] O. B. Zaslavskii, arXiv:1003.2324 [gr-qc]

  • [29] A. Babin, A. Figotin, arXiv:0812.2686 [physics.classph]

  • [30] B. Carter, Phys. Rev. 174, 1559 (1968) http://dx.doi.org/10.1103/PhysRev.174.1559 [CrossRef]

  • [31] W. Israel, Phys. Rev. D 2, 641 (1970) http://dx.doi.org/10.1103/PhysRevD.2.641 [CrossRef]

  • [32] G. C. Debney, R. P. Kerr, A. Schild, J. Math. Phys. 10, 1842 (1969) http://dx.doi.org/10.1063/1.1664769 [CrossRef]

  • [33] A. Burinskii, Sov. Phys. JETP-USSR 39, 193 (1974)

  • [34] A. Burinskii, Russ. Phys. J. 17, 1068 (1974)

  • [35] A. Burinskii, Phys. Rev. D 67, 124024 (2003) http://dx.doi.org/10.1103/PhysRevD.67.124024 [CrossRef]

  • [36] A. Burinskii, arXiv:hep-th/0507109

  • [37] D. Ivanenko, A. Ya. Burinskii, Russ. Phys. J. 18, 721 (1975)

  • [38] C. A. Lopez, Phys. Rev. D 30, 313 (1984) http://dx.doi.org/10.1103/PhysRevD.30.313 [CrossRef]

  • [39] C. A. Lopez, Gen. Rel. Grav. 24, 285 (1992) http://dx.doi.org/10.1007/BF00760230 [CrossRef]

  • [40] M. Israelit, N. Rosen, Gen. Relat. Gravit. 27, 153 (1995) http://dx.doi.org/10.1007/BF02107955 [CrossRef]

  • [41] H. I. Arcos, J. G. Pereira, Gen. Relat. Gravit. 36, 2441 (2004) http://dx.doi.org/10.1023/B:GERG.0000046832.71368.a5 [CrossRef]

  • [42] H. I. Arcos, J. G. Pereira, arXiv:0710.0301 [gr-qc]

  • [43] A. Burinskii, AIP Conf. Proc. 1424, 26–32 (2012) http://dx.doi.org/10.1063/1.3688948 [CrossRef]

  • [44] K. A. Bronnikov, G. N. Shikin, In: Classical and Quantum Theory of Gravity, Trudy IF (AN BSSR, Minsk, 1976) 88

  • [45] J. I. Latorre, P. Pascual, R. Tarrach, Nucl. Phys. B 437, 60 (1995) http://dx.doi.org/10.1016/0550-3213(94)00490-6 [CrossRef]

  • [46] P. A. M. Dirac, Nature 168, 906 (1951) http://dx.doi.org/10.1038/168906a0 [CrossRef]

  • [47] P. A. M. Dirac, Nature 169, 702 (1952) http://dx.doi.org/10.1038/169702b0 [CrossRef]

  • [48] K. P. Sinha, C. Sivaram, E. C. G. Sudarshan, Found. Phys. 6, 65 (1976) http://dx.doi.org/10.1007/BF00708664 [CrossRef]

  • [49] K. P. Sinha, C. Sivaram, E. C. G. Sudarshan, Found. Phys. 6, 717 (1976) http://dx.doi.org/10.1007/BF00708950 [CrossRef]

  • [50] K. P. Sinha, E. C. G. Sudarshan, Found. Phys. 8, 823 (1978) http://dx.doi.org/10.1007/BF00715056 [CrossRef]

  • [51] G. E. Volovik, International Series of Monographs on Physics 117, 1 (2003)

  • [52] K. G. Zloshchastiev, arXiv:0906.4282 [hep-th]

  • [53] K. G. Zloshchastiev, Phys. Lett. A 375, 2305 (2011) http://dx.doi.org/10.1016/j.physleta.2011.05.012 [CrossRef]

  • [54] K. G. Zloshchastiev, Acta Phys. Pol. B 42, 261 (2011) http://dx.doi.org/10.5506/APhysPolB.42.261 [CrossRef]

  • [55] G. Rosen, Phys. Rev. 183, 1186 (1969) http://dx.doi.org/10.1103/PhysRev.183.1186 [CrossRef]

  • [56] I. Bialynicki-Birula, J. Mycielski, Ann. Phys.-New York 100, 62 (1976) http://dx.doi.org/10.1016/0003-4916(76)90057-9 [CrossRef]

  • [57] I. Bialynicki-Birula, J. Mycielski, Commun. Math. Phys. 44, 129 (1975) http://dx.doi.org/10.1007/BF01608825 [CrossRef]

  • [58] I. Bialynicki-Birula, J. Mycielski, Phys. Scripta 20, 539 (1979) http://dx.doi.org/10.1088/0031-8949/20/3-4/033 [CrossRef]

  • [59] A. V. Avdeenkov, K. G. Zloshchastiev, J. Phys. B-At. Mol. Opt. 44, 195303 (2011) http://dx.doi.org/10.1088/0953-4075/44/19/195303 [CrossRef]

  • [60] K. G. Zloshchastiev, Eur. Phys. J. B 85, 273 (2012) http://dx.doi.org/10.1140/epjb/e2012-30344-3 [CrossRef]

  • [61] R. Rajaraman, Solitons and Instantons (North-Holland, Amsterdam, 1982)

  • [62] K. G. Zloshchastiev, Phys. Rev. D 61, 125017 (2000) http://dx.doi.org/10.1103/PhysRevD.61.125017 [CrossRef]

  • [63] K. G. Zloshchastiev, Phys. Lett. B 519, 111 (2001) http://dx.doi.org/10.1016/S0370-2693(01)01087-5 [CrossRef]

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
I. E. Gulamov, E. Ya. Nugaev, and M. N. Smolyakov
Physical Review D, 2014, Volume 89, Number 8

Comments (0)

Please log in or register to comment.