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The production of dielectrons in reactions involving a_1 mesons and pions isstudied. We compare results obtained with different phenomenologicalLagrangians that have been used in connection with hadronic matter and finitenuclei. We insist on the necessity for those interactions to satisfy knownempirical properties of the strong interaction. Large off-shell effects indielectron production are found and some consequences for the interpretation ofheavy ion data are outlined. We also compare with results obtained usingexperimentally-extracted spectral functions.Comment: 14 pages, LaTeX2e, 2 figure

Off-shell effects in dilepton production from hot interacting mesons