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***NSBL-QF-031 Thermal Contributions in Divergence-Free Quantum Field Theory**

**Abstract**

In the framework of divergence-free quantum field theory, we demonstrate how to compute the thermal free energy of bosonic and fermionic fields. While our computations pertain to one loop, they do indicate the method to be applied in higher-loops. In the course of our derivations, use is made of Poisson's summation formula, and the resulting expressions involve the zeta function. We note that the logarithmic terms involve temperature as an energy scale term.

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