Topics in Noncommutative Geometry Inspired Physics

Abstract

In this review article we discuss some of the applications of noncommutative geometry in physics that are of recent interest, such as noncommutative many-body systems, noncommutative extension of Special Theory of Relativity kinematics, twisted gauge theories and noncommutative gravity.

New references added, Published online in Foundations of Physics

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• Seiberg Witten Map and the Axial Anomaly in Noncommutative Field Theory
• Star products made (somewhat) easier
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• Anyons with anomalous gyromagnetic ratio & the Hall effect
• Noncommutative gauge theories and Lorentz symmetry
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Cited by in corpus (80)

• Charged rotating noncommutative black holes
• Noncommutative geometry inspired dirty black holes
• Spectral dimension of a quantum universe
• Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law
• Entropic force, noncommutative gravity and ungravity
• Possibility of higher dimensional anisotropic compact star
• Cosmological production of noncommutative black holes
• Hawking radiation as tunneling from a Vaidya black hole in noncommutative gravity
• New bounds for Tsallis parameter in a noncommutative phase-space entropic gravity and nonextensive Friedmann equations
• Neutrino oscillations as a novel probe for a minimal length
• Regular black holes in UV self-complete quantum gravity
• Geodesic equation in $k$-Minkowski spacetime
• Fuzziness at the horizon
• Entropic force approach to noncommutative Schwarzschild black holes signals a failure of current physical ideas
• The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle
• Conformal Invariance in noncommutative geometry and mutually interacting Snyder Particles
• A unifying perspective on the Moyal and Voros products and their physical meanings
• On the Landau system in noncommutative phase-space
• Inertial spin Hall effect in noncommutative space
• Cosmological Time Crystal: Cyclic Universe with a small $\Lambda$ in a toy model approach
• The problem of coexistence of several non-Hermitian observables in PT-symmetric quantum mechanics
• Minimal Scales from an Extended Hilbert Space
• Electrodynamics of a Generalized Charged Particle in Doubly Special Relativity Framework
• Non-commutative black holes of various genera in the connection formalism
• Uniformly accelerating observer in $\kappa$-deformed space-time
• Noncommutative Space Corrections on the Klein-Gordon and Dirac Oscillators Spectra
• Charged particles' tunneling from a noncommutative charged black hole
• Non-singular Brans-Dicke collapse in deformed phase space
• Non-commutative Wormholes in $f(R)$ Gravity satisfying the Energy Conditions
• Chiral decomposition in the non-commutative Landau problem
• Quasinormal Modes in Noncommutative Schwarzschild black holes
• Hair distributions in noncommutative Einstein-Born-Infeld black holes
• Noncommutative relativistic particles
• Quantum tunneling and spectroscopy of noncommutative inspired Kerr black hole
• Hair formation in the background of noncommutative reflecting stars
• Field Theory on Curved Noncommutative Spacetimes
• Noncommutative Extension of AdS-CFT and Holographic Superconductors
• Noncommutative Geometry and Fluid Dynamics
• Quantum corrections enhance chaos: study of particle motion near a generalized Schwarzschild black hole
• Particle production and transplanckian problem on the non-commutative plane
• Twist Deformation of Rotationally Invariant Quantum Mechanics
• Dynamics of Quintessence in Generalized Uncertainty Principle
• Noncommutativity in (2+1)-dimensions and the Lorentz group
• Non-commutative Quantum Mechanics in Three Dimensions and Rotational Symmetry
• On the two-dimensional time-dependent anisotropic harmonic oscillator in a magnetic field
• Komar energy and Smarr formula for noncommutative Schwarzschild black hole
• Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
• The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space
• Some aspects of entropic gravity in the presence of a noncommutative Schwarzschild-deSitter black hole
• Black Hole Evaporation in a Noncommutative Charged Vaidya Model
• Voros product, noncommutative inspired Reissner-Nordstr{ö}m black hole and corrected area law
• On the algebraic structure of rotationally invariant two-dimensional Hamiltonians on the noncommutative phase space
• Noncommutative fluid and Growing Modes of Inhomogeneity in (Newtonian) Cosmology
• Noncommutative Solitons of Gravity
• Poincare gauge theory from higher derivative matter lagrangean
• U(2,2) gravity on noncommutative space with symplectic structure
• Back Reaction Inhomogeneities in Cosmological Parameter Evolution via Noncommutative Fluid
• Faddeev-Jackiw approach of the noncommutative spacetime Podolsky electromagnetic theory
• Entanglement in phase-space distribution for an anisotropic harmonic oscillator in noncommutative space
• Gravitational energy of a noncommutative Vaidya black hole
• Thermodynamical features of Verlinde's approach for a non-commutative Schwarzschild-anti-deSitter black hole in a broad range of scales
• Noncommutative cosmological models induced by a symplectic formalism coupled to phantom fluids
• Gauge-invariant extensions of the Proca model in a noncommutative space-time
• Constrained Dynamics of an Anomalous $(g/neq2)$ Relativistic Spinning Particle in Electromagnetic Background
• Noncommutativity and Duality through the Symplectic Embedding Formalism
• Particle on a torus knot: a Hamiltonian analysis
• From Noncommutative Sphere to Nonrelativistic Spin
• Field Theory with Coordinate Dependent Noncommutativity
• Particle Dynamics and Lie-algebraic type of Non-commutativity of space-time
• The coordinate coherent states approach revisited
• Galilei Group with multiple central extension, vorticity and entropy generation: "Exotic" fluid in 3+1-dimensions
• Lagrangian generators of the Poincare gauge symmetries
• Implications of Seiberg-Witten map on type-I superconductors
• Noncommutative information is revealed from the static detector outside the black hole
• Study on Noncommutative Representations of Galilean Generators
• Entropic force law in the presence of a noncommutative inspired spacetime for a solar system scale
• N=2 supersymmetric radiation damping problem on a noncommutative plane
• Uncertainty Relations for the Relativistic Jackiw-Nair Anyon: A First Principles Derivation
• On the magnetic 2+1- D space-time and its non-relativistic counterpart
• Quantization of Length in Spaces with Position-Dependent Noncommutativity