Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Inflationary Affleck-Dine scalar dynamics and isocurvature perturbations
AU - Enqvist, Kari
AU - McDonald, John
PY - 2000/7/13
Y1 - 2000/7/13
N2 - We consider the evolution of the Affleck-Dine scalar during D-term and F-term inflation and solve the combined slow-roll equations of motion. We show that for a typical case, where both the Affleck-Dine scalar and inflaton initially have large values, in D-term inflation the Affleck-Dine scalar is driven to a fixed value, with only a very slight dependence on the number of e-foldings. As a result, there is a definite prediction for the ratio of the baryonic isocurvature perturbation to the adiabatic perturbation. In minimal (d=4) Affleck-Dine baryogenesis the relative isocurvature contribution to the CMB angular power spectrum amplitude is predicted to be in the range 0.01–0.1, which can account for present large-scale structure observations and should be observable by Planck. In a very general case, scale invariance of the adiabatic perturbations from the Affleck-Dine scalar imposes a lower bound of about 0.01 for d=4. For d=6 the isocurvature perturbation may just be observable, although this is less certain. We also consider F-term inflation and show that the magnitude of the baryonic isocurvature perturbation is fixed by the value of H during inflation. For typical values of H the isocurvature perturbation could be close to present observational limits.
AB - We consider the evolution of the Affleck-Dine scalar during D-term and F-term inflation and solve the combined slow-roll equations of motion. We show that for a typical case, where both the Affleck-Dine scalar and inflaton initially have large values, in D-term inflation the Affleck-Dine scalar is driven to a fixed value, with only a very slight dependence on the number of e-foldings. As a result, there is a definite prediction for the ratio of the baryonic isocurvature perturbation to the adiabatic perturbation. In minimal (d=4) Affleck-Dine baryogenesis the relative isocurvature contribution to the CMB angular power spectrum amplitude is predicted to be in the range 0.01–0.1, which can account for present large-scale structure observations and should be observable by Planck. In a very general case, scale invariance of the adiabatic perturbations from the Affleck-Dine scalar imposes a lower bound of about 0.01 for d=4. For d=6 the isocurvature perturbation may just be observable, although this is less certain. We also consider F-term inflation and show that the magnitude of the baryonic isocurvature perturbation is fixed by the value of H during inflation. For typical values of H the isocurvature perturbation could be close to present observational limits.
U2 - 10.1103/PhysRevD.62.043502
DO - 10.1103/PhysRevD.62.043502
M3 - Journal article
VL - 62
JO - Physical Review D
JF - Physical Review D
SN - 1550-7998
IS - 4
M1 - 043502
ER -