Cosmological Implications of a Lorentz Invariance Violating O(2) Model

TL;DR

This paper explores the cosmological consequences of a Lorentz invariance violating O(2) model, deriving its free energy and analyzing its impact on the evolution of a flat FRW universe at various temperatures.

Contribution

It introduces a novel LIV O(2) model with non-commuting momenta and investigates its effects on cosmological evolution.

Findings

Derived the free energy of the LIV O(2) model.

Analyzed the model's implications on universe evolution at different temperatures.

Provided insights into how LIV matter fields could influence cosmology.

Abstract

We derive the free energy of a Lorentz invariance violating (LIV) O(2) model, for which a non-vanishing commutator among it's momenta is supposed. Then we investigate the possible implications of such a matter field on the time evolution of a flat FRW universe at low and high temperatures.