Path integrals in Snyder space

Abstract

The definition of path integrals in one- and two-dimensional Snyder space is discussed in detail both in the traditional setting and in the first-order formalism of Faddeev and Jackiw.

arXiv comment10 pages

References in corpus (10)

• Noncommutative Field Theory
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Quantum Field Theory on Noncommutative Spaces
• Classical and quantum mechanics of the nonrelativistic Snyder model
• Path integral action of a particle in the non commutative plane
• Snyder space revisited
• Path Integral Approach to Noncommutative Space-Times
• Path Integrals in Noncommutative Quantum Mechanics
• Non-hermitian radial momentum operator and path integrals in polar coordinates
• A coherent-state-based path integral for quantum mechanics on the Moyal plane

Cited by in corpus (8)

• Bumblebee gravity and particle motion in Snyder noncommutative spacetime structures
• Nonassociative Snyder phi4 Quantum Field Theory
• UV/IR Mixing in Nonassociative Snyder phi^4 Theory
• Relative-locality phenomenology on Snyder spacetime
• Path integral action of a particle in $\kappa$-Minkowski spacetime
• Three dimensional DKP oscillator in a curved Snyder space
• A consistent approach to the path integral formalism of quantum mechanics based on the maximum length uncertainty
• Emergent spacetime from a Berry-inspired dynamical gauge field coupled to electromagnetism