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Local cohomology and superselection structure

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Abstract

IfA μ is a vector field satisfying ∂μ A v−∂v A μ=0 can one find a scalar field φ such thatA μ=∂μφ? A novel quantum analogue of this classical problem incorporating locality is introduced and is shown to generate those super-selection sectors whose charge can be strictly localized. In a 2-dimensional space-time there are further possibilities; in particular, soliton sectors can be generated by this procedure.

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Authors and Affiliations

  1. Centre de Physique Théorique, C.N.R.S., F-13274, Marseille Cedex 2, France

    John E. Roberts

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  1. John E. Roberts
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Communicated by R. Haag

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Roberts, J.E. Local cohomology and superselection structure. Commun.Math. Phys. 51, 107–119 (1976). https://doi.org/10.1007/BF01609342

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  • DOI: https://doi.org/10.1007/BF01609342

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