Kühnel, Florian: Stochastic cosmological inflation : a replica field-theoretical study. 2009
Inhalt
- 1 Cosmological Inflation
- 1.1 Friedmann Space-Time
- 1.2 Shortcomings of the Standard Big Bang Theory
- 1.3 Standard Inflationary Universe
- 1.4 Inflation and Cosmological Perturbations
- 2 Cosmological Perturbations & Primordial Inhomogeneities
- 2.1 Perturbations
- 2.2 Gauges
- 2.3 Gauge-Invariant Variables
- 2.4 Dynamical Equations
- 2.5 Hydro-Dynamical Perturbations
- 2.6 Baryon-Radiation Plasma and Cold Dark Matter
- 2.7 Origin of Primordial Inhomogeneities
- 3 Cosmic Microwave Background Anisotropies
- 3.1 Boltzmann Equation and Temperature Fluctuations
- 3.2 Sachs-Wolfe Effect
- 3.3 Temperature Correlation
- 3.4 Other Effects
- 4 Stochastic Cosmological Inflation
- 5 Replica Field Theory
- 5.1 Random Field Ising Model
- 5.2 Elastic Systems
- 5.3 Replica Trick
- 5.4 Noise Distributions
- 5.5 Variational Method
- 6 Stochastic Inflation & Replica Field Theory
- 6.1 Free Power Spectrum
- 6.2 Effective Power Spectrum
- 6.3 Filter Functions
- 6.4 Self-Interactions
- 6.5 Possible CMB effects
- Summary & Outlook
- Appendix: Replica Symmetry Breaking
- Bibliography