Magnetic Backgrounds and Noncommutative Field Theory

Abstract

This paper is a rudimentary introduction, geared at non-specialists, to how noncommutative field theories arise in physics and their applications to string theory, particle physics and condensed matter systems.

26 pages, 3 figures, uses ws-ijmpa.cls; Invited review to be published in International Journal of Modern Physics A; v2: References added

References in corpus (2)

• Renormalisation of ϕ^4-theory on noncommutative R^4 in the matrix base
• What are the Bounds on Space-Time Noncommutativity?

Cited by in corpus (37)

• Symmetry, Gravity and Noncommutativity
• Quantum Gravity, Field Theory and Signatures of Noncommutative Spacetime
• $\kappa$-Minkowski Spacetime Through Exotic "Oscillator"
• Space-Time Noncommutativity from Particle Mechanics
• Lamb shift and Stark effect in simultaneous space-space and momentum-momentum noncommutative quantum mechanics and $\theta$-deformed $su(2)$ algebra
• The $AdS$ particle
• Noncommutativity in Maxwell-Chern-Simons-Matter Theory Simulates Pauli Magnetic Coupling
• Noncommutative Field Theory on Homogeneous Gravitational Waves
• Supersymmetric quantum mechanics on noncommutative space
• Seiberg-Witten map and quantum phase effects for neutral Dirac particle on noncommutatiave plane
• On the role of twisted statistics in the noncommutative degenerate electron gas
• Nonassociative geometry and twist deformations in non-geometric string theory
• SL(2,C) gravity on noncommutative space with Poisson structure
• Quantum Mechanical Effects from Deformation Theory
• Noncommutativity from spectral flow
• (Non)commutative isotropization in Bianchi I with Barotropic perfect fluid and $\Lambda$ Cosmological
• Area-preserving diffeomorphisms in gauge theory on a non-commutative plane: a lattice study
• Isometric Embeddings and Noncommutative Branes in Homogeneous Gravitational Waves
• A note on broken dilatation symmetry in planar noncommutative theory
• Scattering in Noncommutative Quantum Mechanics
• Noncommutative Decrumpling Inflation and Running of the Spectral Index
• Induced magnetic moment in noncommutative Chern-Simons scalar QED
• Heisenberg algebra for restricted Landau problem
• Integral Transforms and $\mathcal{P}\mathcal{T}$-symmetric Hamiltonians
• Noncommutative Geometry and Deformation Quantization in the Quantum Hall Fluids with Inhomogeneous Magnetic Fields
• Noncommuting spherical coordinates
• Strong Field, Noncommutative QED
• Noncommutative space and the low-energy physics of quasicrystals
• From geometry to non-geometry via T-duality
• Dirac brackets from magnetic backgrounds
• Backward Compton Scattering and QED with Noncommutative Plane in the Strong Uniform Magnetic Field
• Topological Phases for Extended Objects: Semiclassical Phase-Space Approach with Tensorial Coordinates
• Magnetic Backgrounds from Generalised Complex Manifolds
• Relativistic Corrections to the Moyal-Weyl Spacetime
• Non-Commutative Extensions of the Standard Model
• Noncommutativity and the lightfront
• Some Aspects of Noncommutativity on Real, p-Adic and Adelic Spaces