Cosmological Rotation of Quantum-Mechanical Origin and Anisotropy of the Microwave Background

TL;DR

This paper proposes that quantum-mechanically generated rotational perturbations in the early Universe can cause anisotropies in the cosmic microwave background, with a detailed formula for their angular correlation function.

Contribution

It introduces a mechanism for generating rotational cosmological perturbations quantum-mechanically and derives an exact formula for their impact on CMB anisotropy.

Findings

Rotational perturbations can be generated quantum-mechanically in the early Universe.

These perturbations contribute to large-angular-scale CMB anisotropy.

An exact formula for the angular correlation function of temperature variations is provided.

Abstract

It is shown that rotational cosmological perturbations can be generated in the early Universe, similarly to gravitational waves. The generating mechanism is quantum-mechanical in its nature, and the created perturbations should now be placed in squeezed vacuum quantum states. The physical conditions under which the phenomenon can occur are formulated. The generated perturbations can contribute to the large-angular-scale anisotropy of the cosmic microwave background radiation. An exact formula is derived for the angular correlation function of the temperature variations caused by the quantum-mechanically generated rotational perturbations. The multipole expansion begins from the dipole component. The comparison with the case of gravitational waves is made.