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This review represents a detailed and comprehensive discussion of the ThermalField Theory (TFT) concepts and key results in Yukawa-type theories. We startwith a general pedagogical introduction into the TFT in the imaginary- andreal-time formulation. As phenomenologically relevant implications, we presenta compendium of thermal decay rates for several typical reactions calculatedwithin the framework of the real-time formalism and compared to theimaginary-time results found in the literature. Processes considered here arethose of a neutral (pseudo)scalar decaying into two distinct (pseudo)scalars orinto a fermion-antifermion pair. These processes are extended from earlierworks to include chemical potentials and distinct species in the final state.In addition, a (pseudo)scalar emission off a fermion line is also discussed.These results demonstrate the importance of thermal effects in particle decayobservables relevant in many phenomenological applications in systems at hightemperatures and densities.

Thermal Field Theory in real-time formalism: concepts and applications for particle decays