Abstract
We extend to “Euclidean” fields on a wide class of Riemannian manifolds two results which have proven to be crucial in the construction of interacting quantum fields in the flat case, namely local regularity properties of the free covariance in two dimensions and Osterwalder-Schrader positivity.
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Communicated by K. Osterwalder
Work supported in part by Ministero della Pubblica Istruzione
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De Angelis, G.F., de Falco, D. & Di Genova, G. Random fields on Riemannian manifolds: A constructive approach. Commun.Math. Phys. 103, 297–303 (1986). https://doi.org/10.1007/BF01206940
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DOI: https://doi.org/10.1007/BF01206940