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 spacelike κ-Poincaré dual Hopf algebra.
hub Mixed citations
Quantum Field Theory on Noncommutative Spaces
Mixed citation behavior. Most common role is background (60%).
10
Pith papers citing it
Background
60% of classified citations
abstract
A pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner correspondence, noncommutative Feynman diagrams, UV/IR mixing, noncommutative Yang-Mills theory on infinite space and on the torus, Morita equivalences of noncommutative gauge theories, twisted reduced models, and an in-depth study of the gauge group of noncommutative Yang-Mills theory. Some of the more mathematical ideas and techniques of noncommutative geometry are also briefly explained.
hub tools
citation-role summary
background 4
method 1
citation-polarity summary
years
2026 10verdicts
UNVERDICTED 10representative citing papers
In the NJL model with exact phase-space diagonalization, magnetic catalysis of the chiral condensate quenches the tachyonic instability of the spin-aligned rho+ by driving the 2M threshold above the Zeeman-lowered mass, preventing condensation.
A Groenewold-Moyal twist deforms an integrable sl(2) spin-chain whose spectrum is computed perturbatively via the Baxter equation and matched at order J^{-3} to a non-local charge of a deformed BMN string in AdS.
Standard BV quantization of φ³ on λ-Minkowski space produces two inequivalent classes of four-point diagrams with distinct noncommutative contributions, while braided quantization yields one class whose noncommutativity appears only as an overall phase factor in the external momenta.
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 correlators are UV-finite but non-analytic at exceptional momenta.
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 generalized Gauss law.
Using the SU_q(2) quantum group for spin rotations yields non-commuting probability operators, implying indefinite probabilities and preventing sharp determination of relative observer orientations.
Noncommutative spacetime shifts the collapsing shell proportionally to outgoing Hawking mode momentum, invalidating standard robustness arguments and causing radiation to decay exponentially after scrambling for exponentially long black hole evaporation.
Product of noncommutative spectral triple with 2D internal space yields charged fermion model whose fluctuations produce gauge fields, geometry changes, charge-dependent derivative, and novel induced bosonic terms.
A review of branes in string theory covering their multiple descriptions and interaction phenomena.
citing papers explorer
-
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 spacelike κ-Poincaré dual Hopf algebra.
-
Mass spectra of charged mesons and the quenching of vector meson condensation via exact phase-space diagonalization
In the NJL model with exact phase-space diagonalization, magnetic catalysis of the chiral condensate quenches the tachyonic instability of the spin-aligned rho+ by driving the 2M threshold above the Zeeman-lowered mass, preventing condensation.
-
Groenewold-Moyal twists, integrable spin-chains and AdS/CFT
A Groenewold-Moyal twist deforms an integrable sl(2) spin-chain whose spectrum is computed perturbatively via the Baxter equation and matched at order J^{-3} to a non-local charge of a deformed BMN string in AdS.
-
BV quantization of $\phi^3$-theory on $\lambda$-Minkowski space: Tree-level correlation functions
Standard BV quantization of φ³ on λ-Minkowski space produces two inequivalent classes of four-point diagrams with distinct noncommutative contributions, while braided quantization yields one class whose noncommutativity appears only as an overall phase factor in the external momenta.
-
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 correlators are UV-finite but non-analytic at exceptional momenta.
-
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 generalized Gauss law.
-
Indefinite probabilities in quantum spacetime: A deepening of unpredictability
Using the SU_q(2) quantum group for spin rotations yields non-commuting probability operators, implying indefinite probabilities and preventing sharp determination of relative observer orientations.
-
Exponentially Long Evaporation of Noncommutative Black Hole
Noncommutative spacetime shifts the collapsing shell proportionally to outgoing Hawking mode momentum, invalidating standard robustness arguments and causing radiation to decay exponentially after scrambling for exponentially long black hole evaporation.
-
Fuzzy Geometries with an Internal Space
Product of noncommutative spectral triple with 2D internal space yields charged fermion model whose fluctuations produce gauge fields, geometry changes, charge-dependent derivative, and novel induced bosonic terms.
-
Branes
A review of branes in string theory covering their multiple descriptions and interaction phenomena.