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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


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