A remark on Schwarz's topological field theory

The standard evaluation of the partition function Z of Schwarz's topological field theory results in the Ray-Singer analytic torsion. Here we present an alternative evaluation which results in Z = 1. Mathematically, this amounts to a novel perspective on analytic torsion: it can be formally written as a ratio of volumes of spaces of differential forms which is formally equal to 1 by Hodge duality. An analogous result for Reidemeister combinatorial torsion is also obtained.