A toy model based analysis on the effect of the Lee-Wick partners in the
  evolution of the early universe
  In the present article the thermodynamic results of the Lee-Wick partner
infested universe have been applied in a toy model where there is one Lee-Wick
partner to each of the standard model particle and more over the longitudinal
degrees of freedom of the massive partners of the standard massless gauge
bosons are neglected at high temperatures. For practical purposes, the chiral
fermionic sector of Lee-wick theories requires two Lee-Wick partners per
fermion which opens up the possibility for a negative energy density of the
early universe. A toy Lee-Wick model with one fermionic partner relaxes such
oddities and hence easy to deal with. In a similar way, the longitudinal
degrees of freedom of the massive gauge boson partners also have the potential
to yield negative energy densities and thus those will be neglected in a toy
model study. In such a toy model one can analytically calculate the
time-temperature relation in the very early radiation dominated universe which
shows interesting new physics. The article also tries to point out how a
Lee-Wick particle dominated early cosmology transforms into the standard
cosmological model. Based on the results of this toy model analysis a brief
discussion on the more realistic model, which can accommodate two Lee-Wick
partners for each standard fermionic field and the longitudinal degree of
freedom of partners of the gauge fields, is presented. It has been shown that
such an universe is mostly very difficult to attain but there are certain
conditions where one can indeed think of such an universe which can evolve into
the standard cosmological universe in a short time duration.
