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String-Localized Quantum Fields and Modular Localization

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Abstract

We study free, covariant, quantum (Bose) fields that are associated with irreducible representations of the Poincaré group and localized in semi-infinite strings extending to spacelike infinity. Among these are fields that generate the irreducible representations of mass zero and infinite spin that are known to be incompatible with point-like localized fields. For the massive representations and the massless representations of finite helicity, all string-localized free fields can be written as an integral, along the string, of point-localized tensor or spinor fields. As a special case we discuss the string-localized vector fields associated with the point-like electromagnetic field and their relation to the axial gauge condition in the usual setting.

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Authors and Affiliations

  1. Departamento de Física, ICE, Universidade Federal de Juiz de Fora, 36036-900, Juiz de Fora, MG, Brazil

    Jens Mund

  2. CBPF, Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, Brazil

    Bert Schroer

  3. Institut für Theoretische Physik, FU-Berlin, Arnimallee 14, 14195, Berlin, Germany

    Bert Schroer

  4. Erwin Schrödinger Institute for Mathematical Physics, Boltzmanngasse 9, 1090, Vienna, Austria

    Jakob Yngvason

  5. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090, Vienna, Austria

    Jakob Yngvason

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  1. Jens Mund
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  2. Bert Schroer
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  3. Jakob Yngvason
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Correspondence to Jakob Yngvason.

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Communicated by Y. Kawahigashi

Dedicated to Hans-Jürgen Borchers on the occasion of his 80th birthday

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Mund, J., Schroer, B. & Yngvason, J. String-Localized Quantum Fields and Modular Localization. Commun. Math. Phys. 268, 621–672 (2006). https://doi.org/10.1007/s00220-006-0067-4

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