  An extension of the standard model, the Lee-Wick standard model, based on
ideas of Lee and Wick was recently introduced. It does not contain quadratic
divergences in the Higgs mass and hence solves the hierarchy puzzle. The
Lee-Wick standard model contains new heavy Lee-Wick resonances at the TeV scale
that decay to ordinary particles. In this paper we examine the behavior of
Lee-Wick resonances at high temperature. We argue that they contribute
negatively to the energy density rho and pressure p and at temperatures much
greater than their mass M their O(T^4) contributions to rho and p cancel
against those of the ordinary (light) particles. The remaining O(M^2*T^2)
contributions are positive and result in an equation of state that approaches
w=1 from below as T goes to infinity.
