Backgrounds of squeezed relic photons and their spatial correlations

Abstract

We discuss the production of multi-photons squeezed states induced by the time variation of the (Abelian) gauge coupling constant in a string cosmological context. Within a fully quantum mechanical approach we solve the time evolution of the mean number of produced photons in terms of the squeezing parameters and in terms of the gauge coupling. We compute the first (amplitude interference) and second order (intensity interference) correlation functions of the magnetic part of the photon background. The photons produced thanks to the variation of the dilaton coupling are strongly bunched for the realistic case where the growth of the dilaton coupling is required to explain the presence of large scale magnetic fields and, possibly of a Faraday rotation of the Cosmic Microwave Background.

9 pages in LaTex style

References in corpus (3)

• Primordial Hypermagnetic Fields and Triangle Anomaly
• Primordial magnetic fields, anomalous isocurvature fluctuations and Big Bang nucleosynthesis
• Cosmic microwave background polarization, Faraday rotation and stochastic gravity-waves backgrounds

Cited by in corpus (9)

• Superhorizon magnetic fields
• Quantum coherence of cosmological perturbations
• Why CMB physics?
• Effect of the length of inflation on angular TT and TE power spectra in power-law inflation
• Initial condition of scalar perturbation in inflation
• Smooth magnetogenesis
• Cosmic magnetization out from the vacuum
• Multiplicity distributions in gravitational and strong interactions
• Squeezed relic photons beyond the horizon