Electromagnetic field with induced massive term: Case with scalar field

• Authors: Yuri Rybakov , Georgi Shikin , Yuri Popov , Bijan Saha
• Languages of publication: EN

Abstracts

EN

We consider an interacting system of massless scalar and electromagnetic fields, with the Lagrangian explicitly depending on the electromagnetic potentials, i.e., interaction with broken gauge invariance. The Lagrangian for interaction is chosen in such a way that the electromagnetic field equation acquires an additional term, which in some cases is proportional to the vector potential of the electromagnetic field. This equation can be interpreted as the equation of motion of photon with induced nonzero rest-mass. This system of interacting fields is considered within the scope of Bianchi type-I (BI) cosmological model. It is shown that, as a result of interaction the isotropization process of the expansion takes place.

Keywords

EN

electromagnetic field; scalar field; Bianchi type I (BI) model; photon mass

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2011
• Volume: 9
• Issue: 5
• Pages: 1165-1172

Dates

published

1 - 10 - 2011

online

15 - 9 - 2011

Contributors

author

Yuri Rybakov

• Department of Theoretical Physics, Peoples’ Friendship University of Russia, 117198, Moscow, Russia

author

Georgi Shikin

• Department of Theoretical Physics, Peoples’ Friendship University of Russia, 117198, Moscow, Russia

author

Yuri Popov

• Department of Theoretical Physics, Peoples’ Friendship University of Russia, 117198, Moscow, Russia

author

Bijan Saha

• Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, 141980, Dubna, Moscow region, Russia

References

• [1] A.S. Goldhaber, M.M. Nieto, Rev. Mod. Phys. 43, 277 (1971) http://dx.doi.org/10.1103/RevModPhys.43.277[Crossref]
• [2] K.D. Froome, L. Essen, The velocity of light and radio waves (Academis, NY, 1969)
• [3] B.N. Taylor, H.W. Parker, D.N. Langenberg, Rev. Mod. Phys. 41, 375 (1969) http://dx.doi.org/10.1103/RevModPhys.41.375[Crossref]
• [4] L. de Broglie, Theorie generale des particles a spin, 2nd edition (Gauthier-Villars, Paris, 1954)
• [5] A.H. Rosenfeld et al., Rev. Mod. Phys. 40, 77 (1968) http://dx.doi.org/10.1103/RevModPhys.40.77[Crossref]
• [6] E.R. Williams, J.E. Faller, H. Hill, Phys. Rev. Lett. 26, 721 (1971) http://dx.doi.org/10.1103/PhysRevLett.26.721[Crossref]
• [7] R.E. Crandall, Am. J. Phys. 51, 698 (1983) http://dx.doi.org/10.1119/1.13149[Crossref]
• [8] M.A. Chernikov, C.J. Gerber, H.R. Ott, H.J. Gerber, Phys. Rev. Lett. 68, 3383 (1992) http://dx.doi.org/10.1103/PhysRevLett.68.3383[Crossref]
• [9] B.E. Schaefer, Phys. Rev. Lett. 82, 4964 (1999) http://dx.doi.org/10.1103/PhysRevLett.82.4964[Crossref]
• [10] E. Fishbach et al., Phys. Rev. Lett. 73, 514 (1994) http://dx.doi.org/10.1103/PhysRevLett.73.514[Crossref]
• [11] L. Davis, A.S. Goldhaber, M.M. Nieto, Phys. Rev. Lett. 35, 1402 (1975) http://dx.doi.org/10.1103/PhysRevLett.35.1402[Crossref]
• [12] R. Lakes, Phys. Rev. Lett. 80, 1826 (1998) http://dx.doi.org/10.1103/PhysRevLett.80.1826[Crossref]
• [13] J. Luo, L.C. Tu, Z.K. Hu, E.J. Luan, Phys. Rev. Lett. 90, 081801 (2003) http://dx.doi.org/10.1103/PhysRevLett.90.081801[Crossref]
• [14] L.-C. Tu, J. Luo, G.T. Gillies, Rep. Progr. Phys. 68, 77 (2005) http://dx.doi.org/10.1088/0034-4885/68/1/R02[Crossref]
• [15] A.S. Goldhaber, M.M. Nieto, Rev. Mod. Phys. 82, 939 (2010) http://dx.doi.org/10.1103/RevModPhys.82.939[Crossref]
• [16] T. Christoduolakis, Th. Grammenos, Ch. Helias, P.G. Kevrekidis, A. Spanou, J. Math. Phys. 47, 042505 (2006) http://dx.doi.org/10.1063/1.2188210[Crossref]
• [17] C. Uggla, R.T. Jantzen, K. Rosquist, Phys. Rev. D 51, 5522 (1995) http://dx.doi.org/10.1103/PhysRevD.51.5522[Crossref]
• [18] G. Mie, Ann. Phys.-Leipzig 39, 1 (1912) http://dx.doi.org/10.1002/andp.19123441102[Crossref]

Identifiers

DOI

10.2478/s11534-011-0033-4