Noncommutative field gas driven inflation

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 $-1\le \omega <-1/3$, which is the region where the Universe enters an accelerated phase.

Reference added. Version to appear in Journal of Cosmology and Astroparticle Physics - JCAP

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• Can noncommutative effects account for the present speed up of the cosmic expansion?
• Exploring the thermodynamics of non-commutative scalar fields
• Noncommutative Geometry and the Primordial Dipolar Imaginary Power Spectrum
• Cosmological Power Spectrum in Non-commutative Space-time
• Stochastic motion in an expanding noncommutative fluid
• Back Reaction Inhomogeneities in Cosmological Parameter Evolution via Noncommutative Fluid
• Brane inflation driven by an arctan potential: CMB constraints and Reheating
• LIV effects on the quantum stochastic motion in an acoustic FRW-geometry