Realizations of the Extended Snyder Model

Abstract

We present the exact realization of the extended Snyder model. Using similarity transformations, we construct realizations of the original Snyder and the extended Snyder models. Finally, we present the exact new realization of the $\kappa$-deformed extended Snyder model.

References in corpus (26)

• The quantum structure of spacetime at the Planck scale and quantum fields
• Quantum gravity and minimum length
• Non-commutative space-time of Doubly Special Relativity theories
• Coproduct and star product in field theories on Lie-algebra non-commutative space-times
• Triply Special Relativity
• Covariant realizations of kappa-deformed space
• Scalar Field Theory on Non-commutative Snyder Space-Time
• Modification of Heisenberg uncertainty relations in non-commutative Snyder space-time geometry
• Classical basis for kappa-Poincare algebra and doubly special relativity theories
• Scalar field theory in Snyder space-time: alternatives
• Yang's Model as Triply Special Relativity and the Snyder's Model--de Sitter Special Relativity Duality
• Kappa Snyder deformations of Minkowski spacetime, realizations and Hopf algebra
• Kappa-deformed Snyder spacetime
• Differential structure on kappa-Minkowski space, and kappa-Poincare algebra
• Snyder dynamics in a Schwarzschild spacetime
• Worldline Formalism in Snyder Spaces
• Associative realizations of the extended Snyder model
• Symmetries of Snyder--de Sitter space and relativistic particle dynamics
• Heisenberg doubles for Snyder type models
• Generalizations of Snyder model to curved spaces
• Unification of $\kappa$-Minkowski and extended Snyder spaces
• Noncommutative Yang model and its generalizations
• Associative realizations of $\kappa$-deformed extended Snyder model
• Quantum perturbative solutions of extended Snyder and Yang models with spontaneous symmetry breaking
• Deformed Quantum Phase Spaces, Realizations, Star Products and Twists
• Generalized quantum phase spaces for the $\kappa$-deformed extended Snyder model