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Table 2
Conventions and definitions for inflation physics.
| Parameter | Definition |
|
|
|
| φ ................................ | Inflaton |
| V(φ) ................................ | Inflaton potential |
| a ................................ | Scale factor |
| t ................................ | Cosmic (proper) time |
| δX | Fluctuation of X |
| Ẋ = dX/ dt ................................ | Derivative with respect to proper time |
| X′ = dX/ dη ................................ | Derivative with respect to conformal time |
| Xφ = ∂X/∂φ ................................ | Partial derivative with respect to φ |
| M pl ................................ | Reduced Planck mass (= 2.435 × 1018 GeV) |
| ℛ ................................ | Comoving curvature perturbation |
| h + , × ................................ | Gravitational wave amplitude of (+ , ×)-polarization component |
| X ∗ ................................ | X evaluated at Hubble exit during inflation of mode with wavenumber k∗ |
| X e ................................ | X evaluated at end of inflation |
 ........... |
First slow-roll parameter for V(φ) |
 ........... |
Second slow-roll parameter for V(φ) |
 ........... |
Third slow-roll parameter for V(φ) |
 ........... |
Fourth slow-roll parameter for V(φ) |
| ϵ1 = −Ḣ/H2 ................................ | First Hubble hierarchy parameter |
 ................................ |
(n + 1)st Hubble hierarchy parameter (where n ≥ 1) |
 ................................ |
Number of e-folds to end of inflation |
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