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Advances in High Energy Physics
Volume 2015 (2015), Article ID 569789, 7 pages
Research Article

Evaluation of the Cosmological Constant in Inflation with a Massive Nonminimal Scalar Field

Department of Mechanical Engineering, Physics Division, Ming Chi University of Technology, Taishan District, New Taipei City 24301, Taiwan

Received 31 July 2014; Revised 5 January 2015; Accepted 24 January 2015

Academic Editor: Filipe R. Joaquim

Copyright © 2015 Jung-Jeng Huang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


In Schrödinger picture we study the possible effects of trans-Planckian physics on the quantum evolution of massive nonminimally coupled scalar field in de Sitter space. For the nonlinear Corley-Jacobson type dispersion relations with quartic or sextic correction, we obtain the time evolution of the vacuum state wave functional during slow-roll inflation and calculate explicitly the corresponding expectation value of vacuum energy density. We find that the vacuum energy density is finite. For the usual dispersion parameter choice, the vacuum energy density for quartic correction to the dispersion relation is larger than for sextic correction, while for some other parameter choices, the vacuum energy density for quartic correction is smaller than for sextic correction. We also use the backreaction to constrain the magnitude of parameters in nonlinear dispersion relation and show how the cosmological constant depends on the parameters and the energy scale during the inflation at the grand unification phase transition.