# String-localized Quantum Fields and Modular Localization

November 11, 2005

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.

open access link
Commun.Math.Phys.268:621-672,2006

@article{Mund:2005cv,
author = "Mund, J. and Schroer, B. and Yngvason, J.",
title = "{String-localized quantum fields and modular
localization}",
journal = "Commun. Math. Phys.",
volume = "268",
year = "2006",
pages = "621-672",
doi = "10.1007/s00220-006-0067-4",
eprint = "math-ph/0511042",
archivePrefix = "arXiv",
primaryClass = "math-ph",
SLACcitation = "%%CITATION = MATH-PH/0511042;%%"
}

Keywords:

string-localization, modular localization, Wigner representations, infinite spin representations