Noncommutativity and Reparametrisation symmetry

Abstract

We discuss a general method of revealing both space-space and space-time noncommuting structures in various models in particle mechanics exhibiting reparametrisation symmetry. Starting from the commuting algebra in the conventional gauge, it is possible to obtain a noncommuting algebra in a nonstandard gauge. The change of variables relating the algebra in the two gauges is systematically derived using gauge/reparametrisation transformations.

Title changed, manuscript modified, appendix added, references added,14 pages, LaTeX

References in corpus (2)

• Unitary Quantum Physics with Time-Space Noncommutativity
• Space-Time Noncommutativity from Particle Mechanics

Cited by in corpus (12)

• Particle Dynamics on Snyder space
• The $AdS$ particle
• Noncommutative spaces, the quantum of time and the Lorentz symmetry
• Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity
• Dynamical origin of the ${\star }_{\theta }$-noncommutativity in field theory from quantum mechanics
• $\kappa$-Minkowski and Snyder algebra from reparametrisation symmetry
• Relativistic Particles on Quantum Space-time
• Interacting Relativistic Particle: Time-Space Noncommutativity And Symmetries
• Canonical Quantization, Space-Time Noncommutativity and Deformed Symmetries in Field Theory
• Particle Dynamics and Lie-algebraic type of Non-commutativity of space-time
• Lie algebraic noncommuting structures from reparametrisation symmetry
• BRST and Related Superfield Approach to a Few Interesting Models of Point Particles and a Model of Bosonic String: A Brief Review