Attractor states and quantum instabilities in de Sitter space

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The asymptotic behavior of the energy-momentum tensor for a free quantized scalar field with mass m and curvature coupling {zeta} in de Sitter space is investigated. It is shown that for an arbitrary, homogeneous and isotropic, fourth order adiabatic state for which the two-point function is infrared finite, <T{sub ab}> approaches the Bunch-Davies de Sitter invariant value at late times if m{sup 2} + {zeta}R > 0. In the case m = {zeta} = 0, the energy-momentum tensor approaches the de Sitter invariant Allen-Folacci value for such a state. For m{sup 2} + {zeta}R = 0, but m and {zeta} ... continued below

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8 p.

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Anderson, P. R. (Paul R.); Eaker, W. (Wayne); Habib, S. (Salman); Molina-Paris, Carmen & Mottola, E. (Emil) January 1, 2001.

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Description

The asymptotic behavior of the energy-momentum tensor for a free quantized scalar field with mass m and curvature coupling {zeta} in de Sitter space is investigated. It is shown that for an arbitrary, homogeneous and isotropic, fourth order adiabatic state for which the two-point function is infrared finite, <T{sub ab}> approaches the Bunch-Davies de Sitter invariant value at late times if m{sup 2} + {zeta}R > 0. In the case m = {zeta} = 0, the energy-momentum tensor approaches the de Sitter invariant Allen-Folacci value for such a state. For m{sup 2} + {zeta}R = 0, but m and {zeta} not separately zero it is shown that at late times <T{sub ab}> grows linearly in terms of cosmic time leading to an instability of de Sitter space. The asymptotic behavior is again independent of the state of the field. For m{sup 2} + {zeta}R < 0, it is shown that, for most values of m and {zeta}, <T{sub ab}> grows exponentially in terms of cosmic time at late times in a state dependent manner.

Physical Description

8 p.

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  • "Submitted to: Conference "Espace-Temps Quantique, Cosmologie De Membrane Et Theories Stochastiques Effectives", Peyresq, France, June 26-July 1, 2001".

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  • Report No.: LA-UR-01-0513
  • Report No.: LA-UR-01-513
  • Grant Number: none
  • Office of Scientific & Technical Information Report Number: 975124
  • Archival Resource Key: ark:/67531/metadc927650

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • January 1, 2001

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 12, 2016, 5:25 p.m.

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Anderson, P. R. (Paul R.); Eaker, W. (Wayne); Habib, S. (Salman); Molina-Paris, Carmen & Mottola, E. (Emil). Attractor states and quantum instabilities in de Sitter space, article, January 1, 2001; United States. (digital.library.unt.edu/ark:/67531/metadc927650/: accessed December 12, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.