Dirac Operators for Matrix Algebras Converging to Coadjoint Orbits: Dirac operators for matrix algebras converging to coadjoint orbits

Authors: Marc A. Rieffel

Source: Communications in Mathematical Physics. 401:1951-2009

Subject Terms: High Energy Physics - Theory, quantum metric space, Quantum Physics, Noncommutative geometry (à la Connes), Dirac operator, Mathematics - Operator Algebras, FOS: Physical sciences, Mathematical Physics (math-ph), 01 natural sciences, quantum Gromov-Hausdorff distance, High Energy Physics - Theory (hep-th), Noncommutative geometry methods in quantum field theory, FOS: Mathematics, 46L87 (primary) 53C30, 81R60, 81R15, 81R05 (secondary), Noncommutative geometry in quantum theory, Noncommutative differential geometry, 0101 mathematics, Operator Algebras (math.OA), Quantum Physics (quant-ph), matrix algebras, Mathematical Physics

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Access URL: http://arxiv.org/abs/2108.01136

On Multimatrix Models Motivated by Random Noncommutative Geometry II: A Yang-Mills-Higgs Matrix Model: On multimatrix models motivated by random noncommutative geometry. II: A Yang-Mills-Higgs matrix model

Authors: Perez-Sanchez, Carlos I.

Source: Ann Henri Poincare
Annales Henri Poincare

Subject Terms: High Energy Physics - Theory, Mathematics - Differential Geometry, Original Paper, Path integrals in quantum mechanics, Probability (math.PR), Mathematics - Operator Algebras, FOS: Physical sciences, 58B34, 81-XX, 81T13 (Primary), 15B52, 53C27 (Secondary), Mathematical Physics (math-ph), 01 natural sciences, Yang-Mills and other gauge theories in quantum field theory, Finite-dimensional groups and algebras motivated by physics and their representations, High Energy Physics - Theory (hep-th), Differential Geometry (math.DG), Unified quantum theories, 0103 physical sciences, FOS: Mathematics, Noncommutative geometry in quantum theory, Canonical quantization, Spectrum, resolvent, Operator Algebras (math.OA), Theory of fuzzy sets, etc, Mathematical Physics, Mathematics - Probability

File Description: application/xml

Access URL: https://pubmed.ncbi.nlm.nih.gov/35573816
http://arxiv.org/abs/2105.01025

Curtright-Zachos supersymmetric deformations of the Virasoro algebra in quantum superspace and Bloch electron systems

Authors: Haru-Tada Sato

Source: Physics Letters B, Vol 861, Iss, Pp 139255-(2025)
Physics Letters

Subject Terms: Hom-Lie algebra, High Energy Physics - Theory, quantum superspace, Virasoro and related algebras, tight binding model, Quantum superspace, Physics, QC1-999, FOS: Physical sciences, Relativity and gravitational theory, Zeeman effect, Mathematical Physics (math-ph), Hom-Lie and related algebras, Virasoro algebra, q-deformation, High Energy Physics - Theory (hep-th), Quantum theory, Tight binding model, Noncommutative geometry in quantum theory, \(q\)-deformation, Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics

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Access URL: http://arxiv.org/abs/2411.04886
https://zbmath.org/8013383
https://doi.org/10.1016/j.physletb.2025.139255
https://doaj.org/article/dfb40600204e4ed6b9edcc0ee5f8d2f1

Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of ϱ-Minkowski: Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of \(\varrho\)-Minkowski

Authors: Giuseppe Fabiano, Giulia Gubitosi, Fedele Lizzi, Luca Scala, Patrizia Vitale

Source: Journal of High Energy Physics, Vol 2023, Iss 8, Pp 1-40 (2023)
Journal of High Energy Physics

Subject Terms: High Energy Physics - Theory, quantum groups, Space-Time Symmetries, Noncommutative geometry, FOS: Physical sciences, Quantum Spacetime, QC770-798, Quantum Groups, High Energy Physics - Theory (hep-th), Noncommutative geometry, Quantum Spacetime, Non-Commutative Geometry, Nuclear and particle physics. Atomic energy. Radioactivity, Mathematics - Quantum Algebra, spacetime symmetries, FOS: Mathematics, Noncommutative geometry in quantum theory, Quantum Algebra (math.QA), noncommutative geometry, Quantum groups and related algebraic methods applied to problems in quantum theory

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Access URL: http://arxiv.org/abs/2305.00526
https://doaj.org/article/1bcd5df290584a30892acc68130f0692
https://hdl.handle.net/11588/949708
https://hdl.handle.net/11588/949708
https://doi.org/10.1007/JHEP08(2023)220

Braided quantum electrodynamics

Authors: Marija Dimitrijević Ćirić, Nikola Konjik, Voja Radovanović, Richard J. Szabo

Source: Journal of High Energy Physics, Vol 2023, Iss 8, Pp 1-54 (2023)
Journal of High Energy Physics

Subject Terms: BRST Quantization, High Energy Physics - Theory, FOS: Physical sciences, QC770-798, Mathematical Physics (math-ph), 01 natural sciences, High Energy Physics - Theory (hep-th), Non-Commutative Geometry, Nuclear and particle physics. Atomic energy. Radioactivity, Noncommutative geometry methods in quantum field theory, Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Noncommutative geometry in quantum theory, Quantum Algebra (math.QA), noncommutative geometry, BRST quantization, Electromagnetic interaction, quantum electrodynamics, Feynman diagrams, Mathematical Physics

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Access URL: http://arxiv.org/abs/2302.10713
https://doaj.org/article/d9a96abf918f4a6e98c2bd45eac0f997

Weak-strong duality of the non-commutative Landau problem induced by a two-vortex permutation, and conformal bridge transformation

Authors: Andrey Alcala, Mikhail S. Plyushchay

Source: Journal of High Energy Physics, Vol 2023, Iss 8, Pp 1-30 (2023)
Journal of High Energy Physics

Subject Terms: Global Symmetries, High Energy Physics - Theory, Quantum Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, duality in gauge field theories, QC770-798, Mathematical Physics (math-ph), scale and conformal symmetries, 01 natural sciences, Scale and Conformal Symmetries, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, High Energy Physics - Theory (hep-th), Non-Commutative Geometry, Nuclear and particle physics. Atomic energy. Radioactivity, Noncommutative geometry methods in quantum field theory, global symmetries, 0103 physical sciences, Noncommutative geometry in quantum theory, noncommutative geometry, Exactly Solvable and Integrable Systems (nlin.SI), Quantum Physics (quant-ph), Duality in Gauge Field Theories, Mathematical Physics

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Access URL: http://arxiv.org/abs/2304.06677
https://zbmath.org/7749016
https://doi.org/10.1007/jhep08(2023)141
https://doaj.org/article/64f516e3d883455b9db27a2df466731f

Almost commutative $Q$-algebras and derived brackets: Almost commutative \(Q\)-algebras and derived brackets

Authors: Bruce, Andrew

Source: Journal of Noncommutative Geometry. 14:681-707

Subject Terms: almost commutative Lie algebroids, Almost commuative algebras, Supermanifolds and graded manifolds, Noncommutative geometry, FOS: Physical sciences, Lie algebroids, Mathematical Physics (math-ph), 81R60, 46L87, 17B75, 01 natural sciences, Poisson manifolds, Poisson groupoids and algebroids, almost commutative algebras, Mathematics - Quantum Algebra, FOS: Mathematics, Mathematics [G03] [Physical, chemical, mathematical & earth Sciences], Noncommutative geometry in quantum theory, Color Lie (super)algebras, almost commutative non-negatively graded algebra, Quantum Algebra (math.QA), Mathématiques [G03] [Physique, chimie, mathématiques & sciences de la terre], Noncommutative differential geometry, 0101 mathematics, homological \(p\)-derivations, Mathematical Physics

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Access URL: http://arxiv.org/pdf/1806.02662
http://arxiv.org/abs/1806.02662
https://zbmath.org/7358354
https://doi.org/10.4171/jncg/377
https://arxiv.org/abs/1806.02662
https://arxiv.org/pdf/1806.02662.pdf
https://www.ems-ph.org/journals/show_abstract.php?issn=1661-6952&vol=14&iss=2&rank=9
http://ui.adsabs.harvard.edu/abs/2018arXiv180602662B/abstract
http://orbilu.uni.lu/handle/10993/38072

Topological Aharonov-Bohm Effect of Neutral Scalar Particle on Noncommutative Space: Topological Aharonov-Bohm effect of neutral scalar particle on noncommutative space

Authors: Ya-Hui Wang, Kai Ma, Jianhua Wang

Source: International Journal of Theoretical Physics. 57:951-956

Subject Terms: 2. Zero hunger, topological phase, 0103 physical sciences, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Noncommutative geometry in quantum theory, Aharonov-Bohm effect, noncommutative space, Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory, Electromagnetic interaction, quantum electrodynamics, 01 natural sciences

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Access URL: https://zbmath.org/6890868
https://doi.org/10.1007/s10773-017-3627-9
https://link.springer.com/article/10.1007/s10773-017-3627-9
https://ui.adsabs.harvard.edu/abs/2018IJTP...57..951W/abstract

Probing the noncommutative effects of phase space in the time-dependent Aharonov–Bohm effect: Probing the noncommutative effects of phase space in the time-dependent Aharonov-Bohm effect

Authors: Huan-Xiong Yang, Jianhua Wang, Kai Ma

Source: Annals of Physics. 383:120-129

Subject Terms: High Energy Physics - Phenomenology, Quantum Physics, High Energy Physics - Phenomenology (hep-ph), 0103 physical sciences, Noncommutative geometry in quantum theory, FOS: Physical sciences, Aharonov-Bohm effect, atom interference, noncommutative geometry, Quantum Physics (quant-ph), 01 natural sciences

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Access URL: http://arxiv.org/pdf/1605.03902
http://arxiv.org/abs/1605.03902
https://www.arxiv.org/abs/1605.03902
https://arxiv.org/pdf/1605.03902
https://www.arxiv-vanity.com/papers/1605.03902/
https://ui.adsabs.harvard.edu/abs/2017AnPhy.383..120M/abstract
https://arxiv.org/pdf/1605.03902
https://www.sciencedirect.com/science/article/pii/S0003491617301318

Relativistic Hydrogen-Like Atom on a Noncommutative Phase Space: Relativistic hydrogen-like atom on a noncommutative phase space

Authors: Mutallip Tohti, Huseyin Masum, Sayipjamal Dulat

Source: International Journal of Theoretical Physics. 56:2724-2737

Subject Terms: 2. Zero hunger, Special relativity, noncommutative phase space, Covariant wave equations in quantum theory, relativistic quantum mechanics, Noncommutative geometry in quantum theory, FOS: Physical sciences, Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, Mathematical Physics (math-ph), hydrogen-like atom, energy level, Mathematical Physics, Atomic physics, Selfadjoint operator theory in quantum theory, including spectral analysis

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Access URL: http://arxiv.org/pdf/1202.2522
http://arxiv.org/abs/1202.2522
https://zbmath.org/6820139
https://doi.org/10.1007/s10773-017-3432-5
http://ui.adsabs.harvard.edu/abs/2017IJTP...56.2724M/abstract
https://link.springer.com/article/10.1007/s10773-017-3432-5

Time-dependent Aharonov–Bohm effect on the noncommutative space: Time-dependent Aharonov-Bohm effect on the noncommutative space

Authors: Ma, Kai, Wang, Jian-Hua, Yang, Huan-Xiong

Source: Physics Letters B, Vol 759, Iss C, Pp 306-312 (2016)
Physics Letters

Subject Terms: High Energy Physics - Theory, Geometry phase, Nuclear and High Energy Physics, Quantum Physics, Aharonov–Bohm effect, Physics, QC1-999, geometry phase, Noncommutative geometry, FOS: Physical sciences, Aharonov-Bohm effect, 01 natural sciences, 3. Good health, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), Noncommutative geometry methods in quantum field theory, 0103 physical sciences, Noncommutative geometry in quantum theory, noncommutative geometry, Quantum Physics (quant-ph)

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Access URL: http://arxiv.org/abs/1604.02110
https://zbmath.org/6754985
https://doi.org/10.1016/j.physletb.2016.05.094
https://doaj.org/article/9516b323819440a19ec0f7a78d0acd60
https://www.sciencedirect.com/science/article/pii/S0370269316302490
https://arxiv.org/pdf/1604.02110.pdf
http://ui.adsabs.harvard.edu/abs/2016PhLB..759..306M/abstract
https://www.arxiv-vanity.com/papers/1604.02110/
http://www.sciencedirect.com/science/article/pii/S0370269316302490
https://core.ac.uk/display/82264096

Seiberg–Witten map and quantum phase effects for neutral Dirac particle on noncommutative plane: Seiberg-Witten map and quantum phase effects for neutral Dirac particle on noncommutative plane

Authors: Ma, Kai, Wang, Jian-Hua, Yang, Huan-Xiong

Source: Physics Letters B, Vol 756, Iss C, Pp 221-227 (2016)
Physics Letters B

Subject Terms: High Energy Physics - Theory, Nuclear and High Energy Physics, Physics, QC1-999, FOS: Physical sciences, Geometric phase effects, 01 natural sciences, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), 0103 physical sciences, Noncommutative space, Noncommutative geometry in quantum theory, noncommutative space, geometric phase effects, Electromagnetic interaction, quantum electrodynamics

File Description: application/xml

Access URL: http://arxiv.org/abs/1410.6363
https://doaj.org/article/b37291840c464d36a0b1034f6be36fc8
https://www.sciencedirect.com/science/article/pii/S0370269316001787
https://core.ac.uk/display/91767814
http://ui.adsabs.harvard.edu/abs/2016PhLB..756..221M/abstract
https://arxiv.org/pdf/1410.6363
https://arxiv.org/pdf/1410.6363.pdf
https://www.arxiv-vanity.com/papers/1410.6363/

Quantum Phase for an Electric Multipole Moment in Noncommutative Quantum Mechanics: Quantum phase for an electric multipole moment in noncommutative quantum mechanics

Authors: Mamatabdulla Hekim, Abduwali Anwar, Jianhua Wang

Source: International Journal of Theoretical Physics. 55:3226-3233

Subject Terms: 0106 biological sciences, Noncommutative geometry in quantum theory, noncommutative quantum mechanics, quantum phase, Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory, 16. Peace & justice, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/6697530
https://doi.org/10.1007/s10773-016-2953-7
https://link.springer.com/article/10.1007/s10773-016-2953-7/fulltext.html
http://ui.adsabs.harvard.edu/abs/2016IJTP...55.3226H/abstract
https://link.springer.com/article/10.1007/s10773-016-2953-7

Quasi-quantum linear spaces: Quasi-quantum linear spaces.

Authors: Hua-Lin Huang, Yuping Yang

Source: Journal of Noncommutative Geometry. 9:1227-1259

Subject Terms: Hopf algebras and their applications, pointed Majid algebras, Noncommutative geometry (à la Connes), quasi-quantum groups, quasi-quantum linear spaces, 01 natural sciences, Monoidal, symmetric monoidal and braided categories, Mathematics - Quantum Algebra, FOS: Mathematics, Noncommutative geometry in quantum theory, nonassociative geometry, Quantum Algebra (math.QA), group-like elements, 0101 mathematics, skew-primitive elements, Quantum groups and related algebraic methods applied to problems in quantum theory, Ring-theoretic aspects of quantum groups

File Description: application/xml

Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=1661-6952&vol=9&iss=4&rank=8
http://arxiv.org/abs/1508.05454
https://www.ems-ph.org/journals/show_pdf.php?issn=1661-6952&vol=9&iss=4&rank=8
https://www.ems-ph.org/journals/show_abstract.php?issn=1661-6952&vol=9&iss=4&rank=8

Time-dependent Aharonov–Casher effect on noncommutative space: Time-dependent Aharonov-Casher effect on noncommutative space

Authors: Wang, Tao, Ma, Kai

Source: Communications in Theoretical Physics. 75:015203

Subject Terms: Aharonov-Casher effect, minimal length, 0103 physical sciences, Noncommutative geometry in quantum theory, noncommutative space, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/7697610
https://doi.org/10.1088/1572-9494/aca1ac

BV quantization of dynamical fuzzy spectral triples

Authors: James Gaunt, Hans Nguyen, Alexander Schenkel

Source: Journal of Physics A: Mathematical and Theoretical. 55:474004

Subject Terms: High Energy Physics - Theory, Noncommutative geometry (à la Connes), Dirac operator, non-commutative geometry, BV quantization, FOS: Physical sciences, Mathematical Physics (math-ph), 01 natural sciences, spectral triple, High Energy Physics - Theory (hep-th), Noncommutative geometry methods in quantum field theory, Quantization in field theory, cohomological methods, Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Noncommutative geometry in quantum theory, Quantum Algebra (math.QA), Quantization of the gravitational field, 0101 mathematics, Mathematical Physics

File Description: application/xml

Access URL: http://arxiv.org/abs/2203.04817
https://zbmath.org/7656190
https://doi.org/10.1088/1751-8121/aca44f

Observations on Noncommuting Coordinates and on Fields Depending on Them: Observations on noncommuting coordinates and on fields depending on them

Authors: R. Jackiw

Source: International Conference on Theoretical Physics ISBN: 9783034896184

Subject Terms: Seiberg-Witten map, High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Noncommutative geometry methods in quantum field theory, Noncommutative geometry (à la Connes), Research exposition (monographs, survey articles) pertaining to quantum theory, 0103 physical sciences, Noncommutative geometry in quantum theory, FOS: Physical sciences, 01 natural sciences, Yang-Mills and other gauge theories in quantum field theory

File Description: application/xml

Access URL: http://arxiv.org/pdf/hep-th/0212146
http://arxiv.org/abs/hep-th/0212146
https://zbmath.org/2182691
https://doi.org/10.1007/s00023-003-0971-5
https://zbmath.org/2065186
https://doi.org/10.1007/s00023-003-0971-5
https://link.springer.com/article/10.1007/s00023-003-0971-5
https://link.springer.com/content/pdf/10.1007%2Fs00023-003-0971-5.pdf
http://ui.adsabs.harvard.edu/abs/2003AnHP....4S.913J/abstract
https://www.arxiv-vanity.com/papers/hep-th/0212146/
https://rd.springer.com/chapter/10.1007/978-3-0348-7907-1_71
https://arxiv.org/abs/hep-th/0212146
https://arxiv.org/pdf/hep-th/0212146

On Noncommutative Multi-Solitons: On noncommutative multi-solitons

Authors: Matthew Headrick, Rajesh Gopakumar, Marcus Spradlin

Source: Progress in String, Field and Particle Theory ISBN: 9781402013614

Subject Terms: High Energy Physics - Theory, Bogomolnyi bound, High Energy Physics - Theory (hep-th), Noncommutative geometry (à la Connes), Noncommutative geometry methods in quantum field theory, 0103 physical sciences, Noncommutative geometry in quantum theory, moduli space of multi-solutions, FOS: Physical sciences, noncommutative scalar field theories, 01 natural sciences, Parametrization (Chow and Hilbert schemes)

File Description: application/xml

Access URL: http://arxiv.org/pdf/hep-th/0103256
http://arxiv.org/abs/hep-th/0103256
https://zbmath.org/1903761
https://doi.org/10.1007/s00220-002-0734-z
http://inspirehep.net/record/554840
http://ui.adsabs.harvard.edu/abs/2003CMaPh.233..355G/abstract
https://rd.springer.com/chapter/10.1007/978-94-010-0211-0_25
http://repository.ias.ac.in/22372/
https://ui.adsabs.harvard.edu/abs/2003CMaPh.233..355G
https://link.springer.com/chapter/10.1007%2F978-94-010-0211-0_25
https://link.springer.com/content/pdf/10.1007%2F978-94-010-0211-0_25.pdf
https://arxiv.org/abs/hep-th/0103256
https://arxiv.org/pdf/hep-th/0103256.pdf

SOME PROPERTIES OF NONLINEAR σ-MODELS IN NONCOMMUTATIVE GEOMETRY: Some properties of nonlinear \(\sigma\)-models in noncommutative geometry

Authors: Dabrowski, Ludwik, KRAJEWSKI T, LANDI G.

Contributors: L., Dabrowski, T., Krajewski, Landi, Giovanni

Source: International Journal of Modern Physics B. 14:2367-2382

Subject Terms: High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Noncommutative geometry methods in quantum field theory, Noncommutative geometry (à la Connes), 0103 physical sciences, Noncommutative geometry in quantum theory, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), 0101 mathematics, 01 natural sciences, General Relativity and Quantum Cosmology, Mathematical Physics

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/pdf/hep-th/0003099
http://arxiv.org/abs/hep-th/0003099
http://hdl.handle.net/11368/1871084
http://ui.adsabs.harvard.edu/abs/2000IJMPB..14.2367D/abstract
https://www.math.sissa.it/publication/some-properties-non-linear-sigma-models-noncommutative-geometry
https://www.worldscientific.com/doi/abs/10.1142/S0217979200001898
https://arxiv.org/abs/hep-th/0003099
https://hdl.handle.net/11368/1871084

Inertial spin Hall effect in non-commutative space

Authors: Banasri Basu, Debashree Chowdhury, Subir Ghosh

Source: Physics Letters A. 377:1661-1667

Subject Terms: High Energy Physics - Theory, Special relativity, Condensed Matter - Mesoscale and Nanoscale Physics, spin Hall effect, FOS: Physical sciences, bound for non-commutative parameter, spin polarization, 01 natural sciences, High Energy Physics - Theory (hep-th), Many-body theory, quantum Hall effect, non-commutative quantum mechanics, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), 0103 physical sciences, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Noncommutative geometry in quantum theory, non-inertial reference frame

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Access URL: http://arxiv.org/pdf/1212.4625
http://arxiv.org/abs/1212.4625
https://zbmath.org/6334713
https://doi.org/10.1016/j.physleta.2013.05.012
https://arxiv.org/abs/1212.4625
https://www.sciencedirect.com/science/article/pii/S0375960113004660
https://arxiv.org/pdf/1212.4625.pdf
https://ui.adsabs.harvard.edu/abs/2013PhLA..377.1661B/abstract
https://core.ac.uk/display/24788561