Strong Field, Noncommutative QED
arXiv:1003.4184 · doi:10.3842/SIGMA.2010.041
Abstract
We review the effects of strong background fields in noncommutative QED. Beginning with the noncommutative Maxwell and Dirac equations, we describe how combined noncommutative and strong field effects modify the propagation of fermions and photons. We extend these studies beyond the case of constant backgrounds by giving a new and revealing interpretation of the photon dispersion relation. Considering scattering in background fields, we then show that the noncommutative photon is primarily responsible for generating deviations from strong field QED results. Finally, we propose a new method for constructing gauge invariant variables in noncommutative QED, and use it to analyse the physics of our null background fields.
Discussion of UV/IR mixing extended, references added
References in corpus (65)
- String Theory and Noncommutative Geometry
- Noncommutative Field Theory
- Quantum Field Theory on Noncommutative Spaces
- Noncommutative Perturbative Dynamics
- Noncommutative Field Theory and Lorentz Violation
- JaxoDraw: A graphical user interface for drawing Feynman diagrams
- Space-Time Noncommutative Field Theories And Unitarity
- Gamma-Ray Observations of a Giant Flare from The Magnetar SGR 1806-20
- The IR/UV Connection in the Non-Commutative Gauge Theories
- Renormalisation of ϕ^4-theory on noncommutative R^4 in the matrix base
- JaxoDraw: A graphical user interface for drawing Feynman diagrams. Version 2.0 release notes
- An Introduction to Noncommutative Spaces and their Geometry
- Perturbative analysis on infrared aspects of noncommutative QED on R^4
- On the Observation of Vacuum Birefringence
- On the unitarity problem in space/time noncommutative theories
- Constituent Quarks from QCD
- The One-loop UV Divergent Structure of U(1) Yang-Mills Theory on Noncommutative R^4
- Momentum signatures for Schwinger pair production in short laser pulses with a sub-cycle structure
- Testing Non-commutative QED, Constructing Non-commutative MHD
- Duality in Scalar Field Theory on Noncommutative Phase Spaces
- Perturbative analysis on infrared and ultraviolet aspects of noncommutative QED on R^4
- Signals for Non-Commutative Interactions at Linear Colliders
- Signatures of High-Intensity Compton Scattering
- Finite size effects in stimulated laser pair production
- On Theories With Light-Like Noncommutativity
- Photon Splitting and Pair Creation in Highly Magnetized Pulsars
- Beam-Shape Effects in Nonlinear Compton and Thomson Scattering
- Noncommutative Induced Gauge Theory
- Determining the carrier-envelope phase of intense few-cycle laser pulses
- Noncommutative QED and Anomalous Dipole Moments
- Quantum Vacuum Experiments Using High Intensity Lasers
- Induced Gauge Theory on a Noncommutative Space
- Exploring high-intensity QED at ELI
- Testing the Noncommutative Standard Model at a Future Photon Collider
- Charges from Dressed Matter: Construction
- Open Wilson Lines in Noncommutative Gauge Theory and Tomography of Holographic Dual Supergravity
- A Lorentz and gauge invariant measure of laser intensity
- On the Problem of Renormalizability in Non-Commutative Gauge Field Models - A Critical Review
- Charges from Dressed Matter: Physics and Renormalisation
- Signals for Non-Commutative QED in and Collisions
- Signals for Non-Commutative QED in and Collisions
- Magnetic Backgrounds and Noncommutative Field Theory
- Translation-invariant models for non-commutative gauge fields
- Vacuum Birefringence as a Probe of Planck Scale Noncommutativity
- Pair Production by a Constant External Field in Noncommutative QED
- Teleparallel Gravity and Dimensional Reductions of Noncommutative Gauge Theory
- UV/IR mixing in noncommutative QED defined by Seiberg-Witten map
- Signatures of Non-commutative QED at Photon Colliders
- Noncommutative geometry, gauge theory and renormalization
- The energy-momentum tensor on noncommutative spaces - some pedagogical comments
- Symmetry breaking, conformal geometry and gauge invariance
- Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing
- Colour, copies and confinement
- Dispersion Relations in Noncommutative Theories
- On the energy-momentum tensor in non-commutative gauge theories
- Noncommutative QFT and Renormalization
- Light Propagation in a Background Field for Time-Space Noncommutativity and Axionic Noncommutative QED
- On The Bound States Of Photons In Noncommutative Quantum Electrodynamics
- On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
- Laser intensity effects in noncommutative QED
- On UV/IR Mixing via Seiberg-Witten Map for Noncommutative QED
- UV/IR duality in noncommutative quantum field theory
- Conformal Anomalies in Noncommutative Gauge Theories
- Noncommutative field theory in formalism of first quantization
- Noncommutativity and the lightfront