Abstract
The propagator and the complete sets of in-and out-solutions of the wave equation, together with the Bogoliubov coefficients relating these solutions are obtained for the vector W-boson (with the gyromagnetic ratio g=2) in a constant electromagnetic field. When only the electric field is present, the Bogoliubov coefficients are independent of the boson polarization and are the same as for the scalar boson. For the collinear electric and magnetic fields, the Bogoliubov coefficients for states with the boson spin perpendicular to the field are again the same as in the scalar case. For the W − spin parallel (antiparallel) to the magnetic field, the Bogoliubov coefficients and the one-loop contributions to the imaginary part of the Lagrange function are obtained from the corresponding expressions for the scalar case by the substitution m 2 → m 2+2eH (m 2 → m 2-2eH). For the gyromagnetic ratio g=2, the vector boson interaction with the constant electromagnetic field is described by the functions that can be expected by comparing the scalar and Dirac particle wave functions in the constant electromagnetic field.
Similar content being viewed by others
References
V. V. Skalozub, Fiz. Élem. Chastits At. Yadra 16, 1005 (1985) [Sov. J. Part. Nucl. 16, 445 (1985)].
V. M. Mostepanenko, V. M. Frolov, and V. A. Sheluto, Yad. Fiz. 37, 1261 (1983) [Sov. J. Nucl. Phys. 37, 750 (1983)].
V. S. Vanyashin and M. V. Terentyev, Zh. Eksp. Teor. Fiz. 48, 565 (1965) [Sov. Phys. JETP 21, 375 (1965)].
M. S. Marinov and V. S. Popov, Yad. Fiz. 15, 1271 (1972) [Sov. J. Nucl. Phys. 15, 702 (1972)].
A. A. Grib, S. G. Mamaev, and V. M. Mostepanenko, Vacuum Quantum Effects in Strong Fields (Énergoatomizdat, Moscow, 1988).
A. I. Nikishov, Tr. Fiz. Inst. Akad. Nauk SSSR 111, 152 (1979); J. Sov. Laser Res. 6, 619 (1985).
Higher Transcendental Functions (Bateman Manuscript Project), Ed. by A. Erdelyi (McGraw-Hill, New York, 1953; Nauka, Moscow, 1974), Vol. 2.
V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics (Nauka, Moscow, 1980; Pergamon, Oxford, 1982).
J. Schwinger, Phys. Rev. 82, 664 (1951).
V. I. Ritus, Zh. Eksp. Teor. Fiz. 75, 1560 (1978) [Sov. Phys. JETP 48, 788 (1978)]; Tr. Fiz. Inst. Akad. Nauk SSSR 111, 134 (1979); J. Sov. Laser Res. 6, 497 (1985).
V. I. Ritus, Tr. Fiz. Inst. Akad. Nauk SSSR 168, 52 (1986); A. I. Nikishov and N. B. Narozhny, Tr. Fiz. Inst. Akad. Nauk SSSR 168, 175 (1986); in Issues in Intense-Field Quantum Electrodynamics, Ed. by V. L. Ginzburg (Nova Science, Commack, 1987).
A. I. Nikishov, Zh. Éksp. Teor. Fiz. 57, 1210 (1969) [Sov. Phys. JETP 30, 660 (1969)].
Author information
Authors and Affiliations
Additional information
From Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 120, No. 2, 2001, pp. 227–241.
Original English Text Copyright © 2001 by Nikishov.
This article was submitted by the author in English.
Rights and permissions
About this article
Cite this article
Nikishov, A.I. Vector boson in the constant electromagnetic field. J. Exp. Theor. Phys. 93, 197–210 (2001). https://doi.org/10.1134/1.1402723
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1402723