Recognition: unknown
Noncommutative Field Theory
read the original abstract
We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states. In the last few years they have been studied intensively, and many qualitatively new phenomena have been discovered, both on the classical and quantum level. To appear in Reviews of Modern Physics.
This paper has not been read by Pith yet.
Forward citations
Cited by 6 Pith papers
-
Universal $T$-matrices for quantum Poincar\'e groups: contractions and quantum reference frames
A new quantum deformation of the centrally extended Poincaré algebra is introduced whose universal T-matrix contracts to the Galilei T-matrix for quantum reference frames and appears as a central extension of the spac...
-
From Noncommutative Kinematics to \(U(1)_{\star}\) Gauge Theory: A Family of Spectral Triples with Localized Gauge-induced Perturbations
Spectral triples are constructed for noncommutative kinematics with G_NC parameters, and localized U(1)_* gauge perturbations are shown to converge strongly in resolvent to the minimally coupled Dirac operator as cuto...
-
Batalin-Vilkovisky quantization with an angular twist
Two inequivalent noncommutative QFTs are built on λ-Minkowski space: a braided version with logarithmic UV divergences and no UV/IR mixing, and a standard version with periodic UV/IR mixing where non-planar correlator...
-
Poisson Gauge Theories in Three Dimensions: Exact Solutions and Conservation Laws
Exact solutions to noncommutative 3D Maxwell-Chern-Simons theory yield finite energy for point charges, permit arbitrary magnetic flux through non-perturbative dependence on the deformation parameter, and include a ge...
-
Quantum Spacetime, Quantum Gravity and Gravitized Quantum Theory
Quantum spacetime with a non-commutative dual explains the fixed Born rule of quantum theory and leads to gravitized quantum mechanics featuring dynamical probabilities and higher-order interference.
-
Branes
A review of branes in string theory covering their multiple descriptions and interaction phenomena.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.