Quantum Gravity and CosmologyNo Access

Unexpected Applications of Hill's Differential Equations in Quantum Field Theory and Cosmology

V. M. Mostepanenko

Departamento de Física, Universidade Federal da Paraíba, C.P. 5008, CEP 58059-970, João Pessoa, Pb, Brazil

On leave from A. Friedmann Laboratory for Theoretical Physics, St.Petersburg, Russia.

https://doi.org/10.1142/S0217751X03015611Cited by:0 (Source: Crossref)

Abstract

The effect of the exponential pair creation from vacuum by the external field periodic in time is discussed. Two prospective applications of this physical effect in quantum field theory and in inflationary cosmology are considered. Being a nontrivial example of a parametric resonance, the effect of exponential pair creation may serve as an illustration of the effectiveness of mathematics in physical theory.

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

N. B. Narozhnyi and A. I. Nikishov, Sov. Phys. — JETP (USA) 38, 427 (1974). Web of Science, ADS, Google Scholar
V. M. Mostepanenko and V. M. Frolov, Sov. J. Nucl. Phys. (USA) 19, 451 (1974). Web of Science, Google Scholar
E. Brezin and C. Itzykson, Phys. Rev. D 2, 1191 (1970), DOI: 10.1103/PhysRevD.2.1191. Web of Science, ADS, Google Scholar
V. S. Popov, Sov. Phys. — JETP (USA) 36, 840 (1973). Web of Science, ADS, Google Scholar
V. S. Popov, Sov. J. Nucl. Phys. (USA) 19, 584 (1974). Web of Science, Google Scholar
D. E. Neville, Phys. Rev. D 30, 1695 (1984), DOI: 10.1103/PhysRevD.30.1695. Web of Science, ADS, Google Scholar
A. D. Dolgov and D. P. Kirilova, Sov. J. Nucl. Phys. (USA) 51, 172 (1990). Web of Science, Google Scholar
J. Traschen and R. Brandenberger, Phys. Rev. D 42, 2491 (1990), DOI: 10.1103/PhysRevD.42.2491. Web of Science, ADS, Google Scholar
L. Kofman, A. Linde and A. A. Starobinsky, Phys. Rev. D 56, 3258 (1997), DOI: 10.1103/PhysRevD.56.3258. Web of Science, ADS, Google Scholar
G. Felder, L. Kofman and A. Linde, Phys. Rev. D 59, 123523 (1999), DOI: 10.1103/PhysRevD.59.123523. Web of Science, ADS, Google Scholar
A. A. Grib , S. G. Mamayev and V. M. Mostepanenko , Vacuum Quantum Effects in Strong Fields ( Friedmann Laboratory Publishing , St.Petersburg , 1994 ) . Google Scholar
V. A. Yakubovich and V. M. Starzhinskii , Linear Differential Equations with Periodic Coefficients ( Wiley , New York , 1975 ) . Google Scholar
V. M. Frolov, Differential Equations (USSR) 18, 1363 (1982). Web of Science, Google Scholar