Snyder Geometry and Quantum Field Theory

Abstract

We find that, in presence of the Snyder geometry, the notion of translational invariance needs to be modified, allowing a momentum dependence of this symmetry. This step is necessary to build the maximally localized states and the Feynman rules of the corresponding quantum field theory.

10 pages, LaTeX, no figures

References in corpus (1)

• Lorentz invariant nonzero minimal uncertainty in position and inhomogeneity of space at the Planck scale

Cited by in corpus (2)

• Canonical transformations and minimal length
• Harmonic oscillators in a Snyder geometry