On the physical contents of q-deformed Minkowski spaces

Abstract

Some physical aspects of $q$-deformed spacetimes are discussed. It is pointed out that, under certain standard assumptions relating deformation and quantization, the classical limit (Poisson bracket description) of the dynamics is bound to contain unusual features. At the same time, it is argued that the formulation of an associated $q$-deformed field theory is fraught with serious difficulties.

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References in corpus (15)

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• Algebraic Structures Related to Reflection Equations
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• Quantum and Braided Linear Algebra
• On the classification of quantum Poincaré groups
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• Twisted Classical Poincaré Algebras
• The Lagrangian of q-Poincare' Gravity
• The Dirac-Coulomb Problem for the $\kappa$-Poincare Quantum Group
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Cited by in corpus (8)

• Solutions of Klein--Gordon and Dirac equations on quantum Minkowski spaces
• Relativistic and Newtonian kappa spacetimes
• Quantum groups and deformed special relativity
• Graded contractions and bicrossproduct structure of deformed inhomogeneous algebras
• Deformed Minkowski spaces: clasification and properties
• A q-Lorentz Algebra From q-Deformed Harmonic Oscillators
• Quantum Integrability and Quantum Groups: a special issue in memory of Petr P. Kulish
• dS-AdS structures in the non-commutative Minkowski spaces