COSMIC INFLATION: SLOW ROLL

The inflaton field rolls down its potential, driving exponential expansion of the universe

Model

State

φ: 3.00
ε: —
N: 0
H: —
a/a₀: 1

About

Inflation is driven by a scalar field φ rolling on potential V(φ). Equations:

φ̈ + 3Hφ̇ + V'(φ) = 0
H² = (φ̇²/2 + V)/(3M²ₚₗ)

Slow-roll: φ̈ ≈ 0, ε = (V'/V)²/2 ≪ 1. Inflation ends when ε = 1.

e-folds: N = ∫H dt ≈ 60 needed to solve flatness/horizon problems.

Quantum fluctuations δφ generate the CMB temperature anisotropies.