The Lieb-Thirring inequality is generalized to functions which vanish on the diagonal set of the many-body configuration space, requiring only that the order of the operator is large enough so that the condition becomes non-trivial. The proof is based on a reduction of the proof of a Lieb-Thirring inequality valid for scale-covariant systems satisfying weak' assumptions: translation invariance, superadditivity, and a priori positivity.

This is joint work with Douglas Lundholm and Phan Thanh Nam.

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