Abstract
We discuss different interpretations of the particle production in quantum fields theory. We study in detail the “instantaneous Hamiltonian diagonalization method” and the “adiabatic vacuum prescription” and we show the difference between both methods calculating the particle production in the flat Friedmann-Robertson-Walker chart of the de Sitter space-time. Finally, we study the particle production in a classically forbidden region, and we apply the obtained results to the problem of the catastrophic particle production in tunneling universes.
Similar content being viewed by others
References
Grib, A.A., Mamayev, S.G., Mostepanenko, V.M.: Gen. Relativ. Gravit. 7, 535 (1976)
Grib, A.A., Mamayev, S.G., Mostepanenko, V.M.: Vacuum quantum effects in strong fields. Friedman Laboratory (1994)
Parker, L., Fulling, S.A.: Phys. Rev. D 9, 341 (1974)
Fulling, S.A.: Gen. Relativ. Gravit. 10, 807 (1979)
Molina-París, C.: Int. J. Theor. Phys. 38, 1273 (1998)
Winitzki, S.: Phys. Rev. D 72, 104011 (2005)
Kim, S.P.: Class. Quantum Gravity 13, 1377 (1996)
Kim, J.K., Kim, S.P.: J. Korean Phys. Soc. 33, 119 (1998)
Kim, S.P.: J. Korean Phys. Soc. 45, 172 (2004)
Suresh, P.K.: Int. J. Theor. Phys. 43, 425 (2004)
Birrell, N.D., Davies, C.P.W.: Quantum Fields in Curved Space. Cambridge University Press, Cambridge (1982)
Gibbons, G.W., Hawking, S.W.: Phys. Rev. D 15, 2738 (1977)
Garriga, J.: Phys. Rev. D 49, 6343 (1994)
Haro, J., Elizalde, E.: J. Phys. A: Math. Theor. 41, 372003 (2008)
Schwinger, J.S.: Phys. Rev. 82, 664 (1951)
Rubakov, V.A.: Nucl. Phys. B 245, 481 (1984)
Rubakov, V.A.: JETP Lett. 39, 107 (1984)
Rubakov, V.A.: Phys. Lett. B 29, 280 (1984)
Levkov, D., Rebbi, C., Rubakov, V.A.: Phys. Rev. D 66, 083516 (2002)
Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions. Dover, New York (1972)
Haro, J.: Int. J. Theor. Phys. 43, 987 (2004)
Hong, J., Vilenkin, A., Winitzki, S.: Phys. Rev. D 68, 023520–023521 (2003)
Vilenkin, A.: Phys. Rev. D 39, 1116 (1989)
Linde, A.: Particle physics and inflationary cosmology. hep-th/0503203v1 (2005)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Haro, J. Different Interpretations of the Particle Production in Quantum Fields Theory. Int J Theor Phys 48, 825–835 (2009). https://doi.org/10.1007/s10773-008-9856-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-008-9856-1