On the Space-Time Symmetries of Non-Commutative Gauge Theories

Abstract

We study the space-time symmetries and transformation properties of the non-commutative U(1) gauge theory, by using Noether charges. We carry out our analysis by keeping an open view on the possible ways ${\theta }^{\mu \nu }$ could transform. We conclude that ${\theta }^{\mu \nu }$ cannot transform under any space-time transformation since the theory is not invariant under the conformal transformations, with the only exception of space-time translations. The same analysis applies to other gauge groups.

arXiv comment6 pages, RevTex

References in corpus (7)

• String Theory and Noncommutative Geometry
• Gauge Theory on Noncommutative Spaces
• Testing Non-commutative QED, Constructing Non-commutative MHD
• Weyl-Gauging and Conformal Invariance
• Covariant Coordinate Transformations on Noncommutative Space
• Superluminal Noncommutative Photons
• A note on Seiberg-Witten central charge

Cited by in corpus (27)

• Generalized Uncertainty Principle in three-dimensional gravity and the BTZ black hole
• Noncommutative spacetime symmetries: Twist versus covariance
• Quantum dissipation induced noncommutative geometry
• Noncommutative gauge theories and Lorentz symmetry
• Noncommutative Synchrotron
• Dynamical symmetries in noncommutative theories
• Dispersion Relations in Noncommutative Theories
• On the energy-momentum tensor in non-commutative gauge theories
• Comment on "Noncommutative gauge theories and Lorentz symmetry, Phys. Rev. D {\bf 70}, 125004 (2004) by R.Banerjee, B.Chakraborty and K.Kumar"
• Quasinormal Modes in Noncommutative Schwarzschild black holes
• Quantum complex scalar fields and noncommutativity
• Fermions and noncommutative theories
• Self-quartic interaction for a scalar field in an extended DFR noncommutative spacetime
• Pauli Oscillator In Noncommutative Space
• Divergences in Non-Commutative Gauge Theories with the Slavnov Term
• Generalized uncertainty principle in graphene
• On the Vacuum Cherenkov Radiation in Noncommutative Electrodynamics and the Elusive Effects of Lorentz Violation
• Noncommutative Particles in Curved Spaces
• Some aspects of quantum mechanics and field theory in a Lorentz invariant noncommutative space
• Three Questions on Lorentz Violation
• Turning graphene into a lab for noncommutativity
• Noncommutativity and Lorentz Violation in Relativistic Heavy Ion Collisions
• Reply to "Comment on 'Noncommutative gauge theories and Lorentz symmetry'"
• Spontaneous symmetry breaking and masses numerical results in DFR noncommutative space-time
• Quantum black holes as classical space factories
• The standard electroweak model in the noncommutative $DFR$ space-time
• Electromagnetic Theory with Quantum Principal Bundles