The early universe is believed to have undergone a QCD phase transition to hadrons at about 10?μs after the big bang. We study such a transition in the context of the non-detailed balance Horava–Lifshitz theory by investigating the effects of the dynamical coupling constant λ in a flat universe. The evolution of the relevant physical quantities, namely the energy density ρ, temperature T, scale factor a and the Hubble parameter H is investigated before, during and after the phase transition, assumed to be of first order. Also, in view of the recent lattice QCD simulations data, we study a cross-over phase transition of the early universe whose results are based on two different sets of lattice data.
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