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Title: Nonminimally coupled hybrid inflation

Abstract

We discuss the hybrid inflation model where the inflaton field is nonminimally coupled to gravity. In the Jordan frame, the potential contains {phi}{sup 4} term as well as terms in the original hybrid inflation model. In our model, inflation can be classified into the type (I) and the type (II). In the type (I), inflation is terminated by the tachyonic instability of the waterfall field, while in the type (II) by the violation of slow-roll conditions. In our model, the reheating takes place only at the true minimum and even in the case (II) finally the tachyonic instability occurs after the termination of inflation. For a negative nonminimal coupling, inflation takes place in the vacuum-dominated region, in the large field region, or near the local minimum/maximum. Inflation in the vacuum-dominated region becomes either the type (I) or (II), resulting in a blue or red spectrum of the curvature perturbations, respectively. Inflation around the local maximum can be either the type (I) or the type (II), which results in the red spectrum of the curvature perturbations, while around the local minimum it must be the type (I), which results in the blue spectrum. In the large field region, to terminate inflation,more » potential in the Einstein frame must be positively tilted, always resulting in the red spectrum. We then numerically solve the equations of motion to investigate the whole dynamics of inflaton and confirm that the spectrum of curvature perturbations changes from red to blue ones as scales become smaller.« less

Authors:
 [1];  [2]
  1. Center for Quantum Spacetime, Sogang University, Shinsu-dong 1, Mapo-gu, 121-742, Seoul (Korea, Republic of)
  2. Department of Physics, Graduate School of Science and Technology, Kwansei Gakuin University, Sanda 669-1337 (Japan)
Publication Date:
OSTI Identifier:
21505049
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 83; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.83.046009; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COUPLING; DISTURBANCES; EQUATIONS OF MOTION; GRAVITATION; INSTABILITY; PERTURBATION THEORY; SIMULATION; SPECTRA; TACHYONS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; POSTULATED PARTICLES

Citation Formats

Koh, Seoktae, and Minamitsuji, Masato. Nonminimally coupled hybrid inflation. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.83.046009.
Koh, Seoktae, & Minamitsuji, Masato. Nonminimally coupled hybrid inflation. United States. https://doi.org/10.1103/PHYSREVD.83.046009
Koh, Seoktae, and Minamitsuji, Masato. Tue . "Nonminimally coupled hybrid inflation". United States. https://doi.org/10.1103/PHYSREVD.83.046009.
@article{osti_21505049,
title = {Nonminimally coupled hybrid inflation},
author = {Koh, Seoktae and Minamitsuji, Masato},
abstractNote = {We discuss the hybrid inflation model where the inflaton field is nonminimally coupled to gravity. In the Jordan frame, the potential contains {phi}{sup 4} term as well as terms in the original hybrid inflation model. In our model, inflation can be classified into the type (I) and the type (II). In the type (I), inflation is terminated by the tachyonic instability of the waterfall field, while in the type (II) by the violation of slow-roll conditions. In our model, the reheating takes place only at the true minimum and even in the case (II) finally the tachyonic instability occurs after the termination of inflation. For a negative nonminimal coupling, inflation takes place in the vacuum-dominated region, in the large field region, or near the local minimum/maximum. Inflation in the vacuum-dominated region becomes either the type (I) or (II), resulting in a blue or red spectrum of the curvature perturbations, respectively. Inflation around the local maximum can be either the type (I) or the type (II), which results in the red spectrum of the curvature perturbations, while around the local minimum it must be the type (I), which results in the blue spectrum. In the large field region, to terminate inflation, potential in the Einstein frame must be positively tilted, always resulting in the red spectrum. We then numerically solve the equations of motion to investigate the whole dynamics of inflaton and confirm that the spectrum of curvature perturbations changes from red to blue ones as scales become smaller.},
doi = {10.1103/PHYSREVD.83.046009},
url = {https://www.osti.gov/biblio/21505049}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 4,
volume = 83,
place = {United States},
year = {2011},
month = {2}
}