Phenomenology analysis of duration inflation for Tachyon field in loop quantum cosmology

Abstract

Assuming that the e-folding number is just determined by the change of the scale factor, the tachyonic inflation theory in LQC has been discussed. Considering the tachyon field with exponential potential and inverse quadratic potential, we find that the evolutionary pictures of super inflation are affected by the potentials and the initial conditions. However it cannot provide enough e-folding number, no matter which condition is chosen. Therefore a slow-rolling inflation is necessary. The e-folding number for slow-rolling inflation depends on the values of the parameter $\alpha$ of the exponential potential and the initial conditions. To get enough e-folding number, $\alpha$ should be small. Based on the slow-rolling inflation happens immediately when the super inflation ends, and the scale factor is continuously growing during the whole inflation stage, we consider an e-folding number provided by the whole inflationary stage, and we find that it is easier to get enough e-folding number when the scale factor increases during all the inflation phase.

8 pages, 6 figures

References in corpus (15)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Are loop quantum cosmos never singular?
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• The Measure Problem in Cosmology
• Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds
• On the measure problem in slow roll inflation and loop quantum cosmology
• Numerical evolution of squeezed and non-Gaussian states in loop quantum cosmology
• Super-inflation in Loop Quantum Cosmology
• Qualitative Approach to Semi-Classical Loop Quantum Cosmology
• Tachyon field in Loop Quantum Cosmology: inflation and evolution picture
• Non-singular Power-law and Assisted inflation in Loop Quantum Cosmology
• Tachyon Matter in Loop Quantum Cosmology
• A phenomenology analysis of the tachyon warm inflation in loop quantum cosmology