Abstract
The concept of modular localization introduced by Brunetti, Guido and Longo, and Schroer, can be used to construct quantum fields. It combines Wigner’s particle concept with the Tomita-Takesaki modular theory of operator algebras. I report on the construction of free fields which are localized in semi-infinite strings extending to space-like infinity (mainly in collaboration with B. Schroer and J. Yngvason). Particular applications are: The first local (in the above sense) construction of fields for Wigner’s massless “infinite spin” particles; String-localized vector/tensor potentials for Photons and Gravitons, respectively; Massive vector bosons. Some speculative ideas are be presented concerning the perturbative construction of gauge theories (and quantum gravity) completely within a Hilbert space, trading gauge dependence with dependence on the direction of the localization string.
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Mund, J. (2009). String-Localized Quantum Fields, Modular Localization, and Gauge Theories. In: Sidoravičius, V. (eds) New Trends in Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2810-5_33
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DOI: https://doi.org/10.1007/978-90-481-2810-5_33
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