Abstract
The large momentum expansion for the inverse propagator of the auxiliary field λ( x) in the conformally invariant O( N) vector model is calculated to leading order in 1/ N, in a strip-like geometry with one finite dimension of length L for 2< d<4. Its leading terms are identified as contributions from λ( x) itself and the energy momentum tensor, in agreement with a previous calculation based on conformal operator product expansions. It is found that a non-trivial cancellation takes place by virtue of the gap equation. The leading coefficient of the energy momentum tensor contribution is shown to be related to the free energy density.
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