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We use the formalism of finite-temperature field theory to study theinteractions of ultra-high energy (UHE) cosmic neutrinos with the background ofrelic neutrinos and to derive general expressions for the UHE neutrinotransmission probability. This approach allows us to take into account thethermal effects introduced by the momentum distribution of the relic neutrinos.We compare our results with the approximate expressions existing in theliterature and discuss the influence of thermal effects on the absorption dipsin the context of favoured neutrino mass schemes, as well as in the case ofclustered relic neutrinos.Comment: 3 pages, 2 figures. Prepared for the Proceedings of the 9th  International Conference on Topics in Astroparticle and Underground Physics  (TAUP 2005), Zaragoza (Spain), September 10-14, 200

Thermal effects on the absorption of ultra-high energy neutrinos by the cosmic neutrino background