  The present article is about the statistical mechanics of non-trivial field
configurations. The non-trivial fields arise from the negative sign of the
commutators and the anticommutators of the bosonic and fermionic field
excitations. These kinds of fields were previously studied by Pauli and Lee and
Wick. The thermal distribution function of the above mentioned fields are
calculated in the article and using the thermal distribution functions the
energy density, pressure and entropy density of the non-trivial field
configurations are found out. The results match exactly with a previous
calculation done by Fornal et. al. for higher derivative Lee-Wick theories
showing a deeper similarity with the earlier work. It is assumed that such
kinds of non-trivial fields may have existed in the early universe and may have
some cosmological relevance.
