### Construction of quantum fields from Euclidean tensor fieldsConstruction of quantum fields from Euclidean tensor fields

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 Author Yao, T. H. Sponsorship USDOE Source United States Department of Energy Office of Scientific and Technical Information Content type Text Language English
 Subject Keyword Physics (Theoretical)-Quantum Field Theories ♦ WIGHTMAN FIELD THEORY- EUCLIDEAN SPACE ♦ QUANTUM FIELD THEORY ♦ TENSORS ♦ VACUUM STATES Abstract We define Euclidean tensor fields over S (R$sup 4$), from which we construct quantum tensor fields satisfying all the Wightman axioms except the uniqueness of the vacuum. By a process of reduction, it is possible to obtain, from some suitably chosen Euclidean tensor field, a quantum field satisfying all the Wightman axioms except the uniqueness of the vacuum and transforming according to any arbitrarily chosen one-valued finite-dimensional irreducible representation of the restricted Lorentz group L/sup arrow-up//sub +/. We give a Euclidean vector field and a Euclidean tensor field of rank two as examples, leading respectively to the real Proca Wightman field and the free electromagnetic Wightman field. (AIP) Educational Use Research Learning Resource Type Article Publisher Date 1976-02-01 Publisher Department Mathematics Department, Bedford College, Regent's Park, London NW1, England Publisher Place United States Journal J. Math. Phys. Organization Mathematics Department, Bedford College, Regent's Park, London NW1, England