Noncommutative field gas driven inflation

TL;DR

This paper explores how a noncommutative bosonic gas at high temperature can drive early universe inflation, revealing new effects of noncommutativity parameters on cosmic acceleration.

Contribution

It introduces a novel noncommutative bosonic field theory with two parameters, analyzing its impact on the equation of state and inflationary conditions in the early universe.

Findings

Derived an equation of state relating pressure and energy density with noncommutative parameters.

Identified parameter regimes where the universe undergoes accelerated expansion.

Showed noncommutative effects can induce inflationary behavior in the early universe.

Abstract

We investigate early time inflationary scenarios in an Universe filled with a dilute noncommutative bosonic gas at high temperature. A noncommutative bosonic gas is a gas composed of bosonic scalar field with noncommutative field space on a commutative spacetime. Such noncommutative field theories was recently introduced as a generalization of quantum mechanics on a noncommutative spacetime. As key features of these theories are Lorentz invariance violation and CPT violation. In the present study we use a noncommutative bosonic field theory that besides the noncommutative parameter $\theta$ shows up a further parameter $\sigma$. This parameter $\sigma$ controls the range of the noncommutativity and acts as a regulator for the theory. Both parameters play a key role in the modified dispersion relations of the noncommutative bosonic field, leading to possible striking consequences for phenomenology. In this work we obtain an equation of state $p=\omega(\sigma,\theta;\beta)\rho$ for the noncommutative bosonic gas relating pressure $p$ and energy density $\rho$, in the limit of high temperature. We analyse possible behaviours for this gas parameters $\sigma$, $\theta$ and $\beta$, so that $-1\leq\omega<-1/3$, which is the region where the Universe enters an accelerated phase.