English

String-localized Quantum Fields and Modular Localization

Mathematical Physics 2009-11-11 v2 High Energy Physics - Theory math.MP Operator Algebras Quantum Physics

Abstract

We study free, covariant, quantum (Bose) fields that are associated with irreducible representations of the Poincar\'e 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 representation 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.

Keywords

Cite

@article{arxiv.math-ph/0511042,
  title  = {String-localized Quantum Fields and Modular Localization},
  author = {J. Mund and B. Schroer and J. Yngvason},
  journal= {arXiv preprint arXiv:math-ph/0511042},
  year   = {2009}
}

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