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The stress energy tensor of a locally supersymmetric quantum field on a curved spacetime

M. Koehler
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Abstract

For an analogon of the free Wess-Zumino model on Ricci flat spacetimes, the relation between a conserved `supercurrent' and the point-separated improved energy momentum tensor is investigated and a similar relation as on Minkowski space is established. The expectation value of the latter in any globally Hadamard product state is found to be a priori finite in the coincidence limit if the theory is massive. On arbitrary globally hyperbolic spacetimes the `supercurrent' is shown to be a well defined operator valued distribution on the GNS Hilbertspace of any globally Hadamard product state. Viewed as a new field, all n-point distributions exist, giving a new example for a Wightman field on that manifold. Moreover, it is shown that this field satisfies a new wave front set spectrum condition in a non trivial way.

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M. Koehler. 1995-05-11. The stress energy tensor of a locally supersymmetric quantum field on a curved spacetime. https://arxiv.org/abs/gr-qc/9505014

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