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3d Quantum Gravity and Effective Non-Commutative Quantum Field Theory
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We show that the effective dynamics of matter fields coupled to 3d quantum gravity is described after integration over the gravitational degrees of freedom by a braided non-commutative quantum field theory symmetric under a kappa-deformation of the Poincare group.
Forward citations
Cited by 8 Pith papers
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Indefinite probabilities in quantum spacetime: A deepening of unpredictability
SU_q(2) quantum group applied to spin-1/2 rotations yields non-commuting probability operators, an uncertainty principle for probabilities, and non-commutative rotation matrices between observers.
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Quantum Mechanics on Lie Groups: II. Path Integrals
A path integral on the Hilbert space of a Lie group is built by decompactifying to the Lie algebra and summing over winding sectors in maximal tori, yielding two-loop heat-kernel coefficients for Euler-Arnold systems.
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Indefinite probabilities in quantum spacetime: A deepening of unpredictability
SU_q(2) rotational symmetry turns spin probabilities into non-commuting operators, yielding an uncertainty principle that prevents sharp measurement of relative observer orientations.
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A Cosmological Uncertainty Relation and Late-Universe Acceleration
A deformed uncertainty relation for the universe scale factor modifies the Friedmann equation to yield late-universe acceleration or a bounce according to the sign of a single free exponent.
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Fermi Acceleration Mechanisms Beyond Lorentz Symmetry
Fermi-accelerated cosmic-ray spectra acquire energy-dependent spectral indices under κ-Poincaré-deformed or Lorentz-violating kinematics, with a -2 to -3 index transition in the classical basis.
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Indefinite probabilities in quantum spacetime: A deepening of unpredictability
Using the SU_q(2) quantum group for spin rotations yields non-commuting probability operators, implying indefinite probabilities and preventing sharp determination of relative observer orientations.
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A Cosmological Uncertainty Relation and Late-Universe Acceleration
Deformed commutation relation for the cosmic scale factor modifies the Friedmann equation to produce late-time dark energy with w > -1 or a non-singular bounce as a horizon-scale quantum gravity effect, without new pa...
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Les Houches lectures on Spinfoam Path Integrals
A pedagogical review of spinfoam path integrals, from 1d quantum mechanics and 2d BF theory through Ponzano-Regge/Turaev-Viro to the 4d EPRL model, accurate but with no new results.
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