Noncommutativity and Lorentz Violation in Relativistic Heavy Ion Collisions
arXiv:1004.2454 · doi:10.1140/epjc/s10052-011-1653-y
Abstract
The experimental detection of the effects of noncommuting coordinates in electrodynamic phenomena depends on the magnitude of |θB|, where θis the noncommutativity parameter and B a background magnetic field. With the present upper bound on θ, given by θ_{\rm bound} \simeq 1/(10 {\rm TeV})^2, there was no large enough magnetic field in nature, including those observed in magnetars, that could give visible effects or, conversely, that could be used to further improve θ_{\rm bound}. On the other hand, recently it has been proposed that intense enough magnetic fields should be produced at the beginning of relativistic heavy ion collisions. We discuss here lepton pair production by free photons as one kind of signature of noncommutativity and Lorentz violation that could occur at RHIC or LHC. This allows us to obtain a more stringent bound on θ, given by 10^{-3} θ_{\rm bound}, if such "exotic" events do not occur.
Five pages, no figures.
References in corpus (35)
- String Theory and Noncommutative Geometry
- Noncommutative Field Theory
- The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
- Quantum Field Theory on Noncommutative Spaces
- Noncommutative Perturbative Dynamics
- Estimate of the magnetic field strength in heavy-ion collisions
- Noncommutative Field Theory and Lorentz Violation
- Parity violation in hot QCD: why it can happen, and how to look for it
- Gauge Theory on Noncommutative Spaces
- Charge separation induced by P-odd bubbles in QCD matter
- Azimuthal Charged-Particle Correlations and Possible Local Strong Parity Violation
- Constraints on Lorentz violation from clock-comparison experiments
- Observation of charge-dependent azimuthal correlations and possible local strong parity violation in heavy ion collisions
- Chiral Magnetic conductivity
- Noncommutative Gravitational Quantum Well
- Lorentz violation and Crab synchrotron emission: a new constraint far beyond the Planck scale
- Testing Non-commutative QED, Constructing Non-commutative MHD
- New limits on Planck scale Lorentz violation in QED
- Review of the Phenomenology of Noncommutative Geometry
- Effects of Cluster Particle Correlations on Local Parity Violation Observables
- Electron-Positron Pair Production in Relativistic Heavy Ion Collisions
- Real-time dynamics of the Chiral Magnetic Effect
- Remarks on possible local parity violation in heavy ion collisions
- UV-IR Mixing in Non-Commutative Plane
- Cosmic Physics: The High Energy Frontier
- On the Space-Time Symmetries of Non-Commutative Gauge Theories
- Quantum Gravity Phenomenology and Lorentz Violation
- Noncommutative Synchrotron
- Comment on "Noncommutative gauge theories and Lorentz symmetry, Phys. Rev. D {\bf 70}, 125004 (2004) by R.Banerjee, B.Chakraborty and K.Kumar"
- Local strong parity violation and new possibilities in experimental study of non-perturbative QCD
- On the Vacuum Cherenkov Radiation in Noncommutative Electrodynamics and the Elusive Effects of Lorentz Violation
- Noncommutative electrodynamics and ultra high energy gamma rays
- A perspective on Quantum Gravity Phenomenology
- Violation of Lorentz invariance and dynamical effects in high energy gamma rays
- Macroscopic Chirality Fluctuations in Heavy Ion Collisions should induce CP forbidden Decays