Tachyon field in loop quantum cosmology: Inflation and evolution picture

Hua-Hui Xiong and Jian-Yang Zhu
Phys. Rev. D 75, 084023 – Published 13 April 2007

Abstract

Loop quantum cosmology (LQC) predicts a nonsingular evolution of the universne through a bounce in the high energy region. We show that this is always true in tachyon matter LQC. Differing from the classical Friedman-Robertson-Walker (FRW) cosmology, the super inflation can appear in the tachyon matter LQC; furthermore, the inflation can be extended to the region where classical inflation stops. Using the numerical method, we give an evolution picture of the tachyon field with an exponential potential in the context of LQC. It indicates that the quantum dynamical solutions have the same attractive behavior as the classical solutions do. The whole evolution of the tachyon field is that in the distant past, the tachyon field—being in the contracting cosmology—accelerates to climb up the potential hill with a negative velocity; then at the boundary the tachyon field is bounced into an expanding universe with positive velocity rolling down to the bottom of the potential. In the slow roll limit, we compare the quantum inflation with the classical case in both an analytic and a numerical way.

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  • Received 1 February 2007

DOI:https://doi.org/10.1103/PhysRevD.75.084023

©2007 American Physical Society

Authors & Affiliations

Hua-Hui Xiong* and Jian-Yang Zhu

  • Department of Physics, Beijing Normal University, Beijing 100875, China

  • *Electronic address: jimhard@163.com
  • Author to whom all correspondence should be addressed; Electronic address: zhujy@bnu.edu.cn

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Issue

Vol. 75, Iss. 8 — 15 April 2007

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