Propagator on the h-deformed Lobachevsky plane

Abstract

The action of the isometry algebra U_h(sl(2)) on the h-deformed Lobachevsky plane is found. The invariant distance and the invariant 2-point functions are shown to agree precisely with the classical ones. The propagator of the Laplacian is calculated explicitely. It is invariant only after adding a `non-classical' sector to the Hilbert space.

21 pages, LaTeX. 2nd order term in the cross-product included, 1 reference added. To appear in Journal of Physics A: Mathematical and General

References in corpus (2)

• Noncommutative Geometry of the h-deformed Quantum Plane
• Quantum Mechanics on the h-deformed Quantum Plane

Cited by in corpus (8)

• On "full" twisted Poincare' symmetry and QFT on Moyal-Weyl spaces
• Field Theory on the q-deformed Fuzzy Sphere I
• Non-constant Non-commutativity in 2d Field Theories and a New Look at Fuzzy Monopoles
• Representation Functions for Jordanian Quantum Group SL_h(2) and Jacobi Polynomials
• Laplacian on fuzzy de Sitter space
• The fuzzy BTZ
• Gauge Theories on Open Lie Algebra Non-Commutative Spaces
• QFT on Fuzzy AdS Spaces: Classical Limit and Boundary Correlation Functions