Abstract
The dispersion relations of vector, scalar, and pseudo-scalar bosons of a dielectric medium are determined taking into account their resonant interaction with elementary vacuum particles, i.e., vector photons, scalar photons, and axions. It is shown that hybrid quasiparticles, i.e., polaritons, hidnons, and axinons, are formed in dielectric media in the region of small wave vectors. The dispersion relations of hybrid quasiparticles near the Brillouin zone center are determined. The appearance of hybrid quasiparticles in the spectra of inelastic light scattering by molecules and crystals is predicted. The obtained dispersion relations of hybrid quasiparticles make it possible to determine the conditions for observing parametric light scattering processes accompanied by generation of hybrid quasiparticles and various boson types in vacuum.
Similar content being viewed by others
References
A. S. Davydov, Theory of Solids (Nauka, Moscow, 1976) [in Russian].
M. I. Kaganov, Electrons, Phonons, Magnons (Nauka, Moscow, 1979) [in Russian].
V. S. Gorelik, “Polaritons and Analogues Excitations of Media and Physical Vacuum, ” in: “Physical Interpretations of Relativity Theory, ” Proceedings of International Scientific Meeting PIRT-2003, Moscow, 2003, Ed. by M.C. Duffy, V.O. Gladyshev, A.N. Morozov (Bauman Moscow State University; Moscow, Liverpool, Sunderland; 2003), p. 56.
V. S. Gorelik, Phys. Scr. T 135, 014039 (2009).
V. S. Gorelik, Laser Phys. 18, 1479 (2008).
V. S. Gorelik, Acta Phys. Hung. B 26, 37 (2006).
V. S. Gorelik, J. Russ. Laser Res. 28, 437 (2006).
V. S. Gorelik, Eur. Phys. J.Appl. Phys. 49, 33007 (2010).
L. D. Landau and E. M. Lifshitz, Quantum Mechanics. Nonrelativistic Theory (Gos. izd. fiz.-mat, lit.; Moscow, 1989; Pergamon, Oxford, 1977).
V. S. Gorelik and M. M. Sushchinskii, Usp. Fiz. Nauk 98, 237 (1969).
V. S. Gorelik, “Dynamic of Lattice Models of Media and Physical Vacuum, ” in: “Physical Interpretations of Relativity Theory, ” Proceedings of International Scientific Meeting PIRT-2005, Moscow, 2005, Ed. by M.C. Duffy, V.O. Gladyshev, A.N. Morozov (Bauman Moscow State University; Moscow, Liverpool, Sunderland; 2005), p. 70.
V. S. Gorelik, Gravitation Cosmol. 12, 151 (2006).
V. S. Gorelik, “Quasi-particles in Crystalline Chains and in Physical Vacuum, ” in: “Physical Interpretations of Relativity Theory, ” Proceedings of International Scientific Meeting PIRT-2007, Moscow, 2007, Ed. by M.C. Duffy, V.O. Gladyshev, A.N. Morozov (Bauman Moscow State University; Moscow, Liverpool, Sunderland; 2007), p. 253.
J. J. Hopfield, Phys. Rev. 112, 1555 (1958).
C. H. Henry and J. J. Hopfield, Phys. Rev. Lett. 15, 964 (1965).
S. P. Porto, B. Tell, and T. Damen, Phys. Rev. Lett. 10, 450 (1966).
J. F. Scott, L. E. Cheesman, and S. P. Porto, Phys. Rev. 162, 834 (1967).
B. N. Mavrin and Kh. E. Sterin, Fiz. Tverd. Tela 14, 2774 (1972).
L. B. Okun, Sov. Phys. JETP 56, 502 (1982).
S. Hoffmann, Phys. Lett. B 193, 117 (1986).
K. van Bibber, N.R. Dagdeviren, S. E. Koonin, et al., Phys. Rev. Lett. 59, 759 (1987).
G. Ruoso, R. Cameron, G. Cantatore, et al., Z. Phys. C 56, 505 (1992).
R. Cameron, G. Cantatore, A. C. Melissinos, et al., Phys. Rev. D 47, 3707 (1993).
L. D. Duffy, P. Sikivie, D. B. Tanner, et al., Phys. Rev. D 74, 012006 (2006).
D. D. Stancil, Phys. Rev. D 76, 111701(R) (2007).
P. Sikivie, D. B. Tanner, and K. van Bibber, Phys. Rev. Lett. 98, 172002 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.S. Gorelik, 2015, published in Kratkie Soobshcheniya po Fizike, 2015, Vol. 42, No. 2, pp. 40–50.
About this article
Cite this article
Gorelik, V.S. Dispersion relations of vector and scalar bosons in material media. Bull. Lebedev Phys. Inst. 42, 55–62 (2015). https://doi.org/10.3103/S1068335615020050
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068335615020050