The Tunneling Hamiltonian Representation of False Vacuum Decay: IV. Application to formation of Dark Matter in nucleating universe

TL;DR

This paper extends the tunneling Hamiltonian approach to model false vacuum decay and universe nucleation, proposing a potential mechanism for dark matter formation via scalar field tunneling and particle-antiparticle pair creation.

Contribution

It introduces a generalized wave functional method for universe nucleation and constructs a potential model for dark matter formation within this framework.

Findings

Model of universe nucleation via false vacuum tunneling.

Potential for dark matter formation using scalar field tunneling.

Explanation of particle-antiparticle pair creation during nucleation.

Abstract

The tunneling Hamiltonian has proven to be a useful method in many body physics to treat particle tunneling between different states represented as wavefunctions. Here, we apply a generalization of the way we formed appropriate wave functionals for CDW on how to present nucleation of an inflationary universe. This allows us to make a generalization of the model used for inflation where the infation is trapped in a false vacuum and, after tunning makes a first order phase transition to initiate nucleation of an inflationary universe, in which tunneling between states which are wave functionals between states which wavefunctionals of a scalar quantum field are considered.We explain how we can have particle-anti particle pairs as a model of how nucleation occurs and construct a potential which may permit formation of dark matter using Scherrers k-essence model construction.