Quantum fields, nonlocality and quantum group symmetries
- Perimeter Institute for Theoretical Physics, 31 Caroline St. N, N2L 2Y5, Waterloo, Ontario (Canada)
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 noncocommutative 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 noncommutative space-times. Our result provides an intuitive characterization of the mechanism that could lead to the emergence of deformed coproducts in models of quantum relativistic symmetries.
- OSTI ID:
- 21038952
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 77, Issue 2; Other Information: DOI: 10.1103/PhysRevD.77.025013; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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