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Exact high temperature expansion of the one-loop thermodynamic potential with complex chemical potential

Exact high temperature expansion of the one-loop thermodynamic potential with complex chemical potential

We present a derivation of an exact high temperature expansion for a one-loop thermodynamic potential $\mathrm{\ensuremath{\Omega}}(\stackrel{\texttildelow{}}{\ensuremath{\mu}})$ with complex chemical potential $\stackrel{\texttildelow{}}{\ensuremath{\mu}}$. The result is given in terms of a single sum, the coefficients of which are analytical functions of $\stackrel{\texttildelow{}}{\ensuremath{\mu}}$ consisting of polynomials and polygamma functions, decoupled from the physical …