Scalar field theory in Snyder space-time: alternatives

@article{Girelli2011ScalarFT,
  title={Scalar field theory in Snyder space-time: alternatives},
  author={F. Girelli and E. Livine},
  journal={Journal of High Energy Physics},
  year={2011},
  volume={2011},
  pages={1-31}
}
  • F. Girelli, E. Livine
  • Published 2011
  • Physics
  • Journal of High Energy Physics
  • We construct two types of scalar field theory on Snyder space-time. The first one is based on the natural momenta addition inherent to the coset momentum space. This construction uncovers a non-associative deformation of the Poincaré symmetries. The second one considers Snyder space-time as a subspace of a larger non-commutative space. We discuss different possibilities to restrict the extra-dimensional scalar field theory to a theory living only on Sndyer space-time and present the… CONTINUE READING
    34 Citations
    Nonassociative Snyder ϕ 4 quantum field theory
    • 10
    • PDF
    Snyder Space-Time: K-Loop and Lie Triple System ?
    • 9
    • PDF
    Snyder Momentum Space in Relative Locality
    • 11
    • PDF

    References

    SHOWING 1-10 OF 33 REFERENCES
    Scalar field theory on noncommutative Snyder spacetime
    • 38
    • PDF
    Snyder Space-Time: K-Loop and Lie Triple System ?
    • 9
    • PDF
    Field Theories with Homogeneous Momentum Space
    • 11
    • PDF
    Four-dimensional deformed special relativity from group field theories
    • 56
    • PDF
    Field theory on kappa-Minkowski space revisited: Noether charges and breaking of Lorentz symmetry
    • 73
    • Highly Influential
    • PDF
    Matrix models as non-commutative field theories on \mathbb {R}^3
    • 23
    • PDF
    From noncommutative κ-Minkowski to Minkowski space–time
    • 74
    • PDF
    WAVES ON NONCOMMUTATIVE SPACE–TIME AND GAMMA-RAY BURSTS
    • 202
    • Highly Influential
    • PDF