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How to Define a Unique Vacuum in Cosmology

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On Einstein’s Path
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Abstract

We propose a distinguished set of positive and negative energy modes of the Klein-Gordon equation as a time-independent definition of the vacuum state of a quantized scalar field.

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References

  1. Birrell, N. D. and Davies, P. C. (1982). Quantum fields in curved spacetime, Cambridge University Press, Cambridge

    Book  Google Scholar 

  2. Fulling, S. A. (1989).Aspects of quantum field theory in curved spacetime, Cambridge University Press, Cambridge.

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  3. Bel, L. I. and Sirousse, Zia H. (1985). Phys. Rev. D, 32, 12, 3128–3135.

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  4. Davis, H. T. (1962). Introduction to Nonlinear Differential and Integral Equations, Dover Publications, New York.

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  5. Floreanini, R., Hill, C. T. and Jackiw, R. (1987). Annals of Physics, 175, 345.

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  6. Droz-Vincent, Ph. (1996). Letters in Mathematical Physics, 36, 277–290

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  7. Lifshitz, E. M. and Khalatnikov, I. M. (1963). Adv. Phys., 12, Appendix J.

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© 1999 Springer Science+Business Media New York

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Bel, L. (1999). How to Define a Unique Vacuum in Cosmology. In: Harvey, A. (eds) On Einstein’s Path. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1422-9_6

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  • DOI: https://doi.org/10.1007/978-1-4612-1422-9_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7137-6

  • Online ISBN: 978-1-4612-1422-9

  • eBook Packages: Springer Book Archive

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