String-localized Quantum Fields and Modular Localization

Details String-localized Quantum Fields and Modular Localization String-localized Quantum Fields and Modular Localization

2005-11-11

arxiv.org/abs/math-ph/0511042v2

Commun.Math.Phys.268:621-672,2006

Physics

Mathematical Physics

minor corrections

Scientific paper

10.1007/s00220-006-0067-4

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.

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