Quantum fields, non-locality and quantum group symmetries

Details Quantum fields, non-locality and quantum group symmetries Quantum fields, non-locality and quantum group symmetries

2007-10-05

arxiv.org/abs/0710.1083v2

Phys.Rev.D77:025013,2008

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, RevTeX, minor revisions, published version

Scientific paper

10.1103/PhysRevD.77.025013

We study the action of space-time symmetries on quantum fields in the presence of small departures from locality determined by dynamical gravity. It is shown that, under such relaxation of locality, the symmetries of the theory cannot be described within the usual framework of Lie algebras but rather in terms of non-co-commutative Hopf algebras or "quantum groups". Similar "quantizations" of space-time symmetries are expected to emerge in the low-energy limit of certain quantum gravity models and have been used to describe the symmetries of various non-commutative space-times. Our result provides an intuitive characterization of the mechanism that could lead to the emergence of deformed co-products in models of quantum relativistic symmetries.

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