Results 31 to 40 of about 84,094 (237)
Braided quantum electrodynamics
Journal of High Energy Physics, 2023 The homotopy algebraic formalism of braided noncommutative field theory is used to define the explicit example of braided electrodynamics, that is, U(1) gauge theory minimally coupled to a Dirac fermion.
Marija Dimitrijević Ćirić +3 more
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κ-Minkowski-deformation of U(1) gauge theory
Journal of High Energy Physics, 2021 We construct a noncommutative kappa-Minkowski deformation of U(1) gauge theory, following a general approach, recently proposed in JHEP 08 (2020) 041.
V. G. Kupriyanov, M. Kurkov, P. Vitale
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Operads and Γ-homology of commutative rings [PDF]
, 2002 We introduce Γ-homology, the natural homology theory for E[infty infinity]-algebras, and a cyclic version of it. Γ-homology specializes to a new homology theory for discrete commutative rings, very different in general from André–Quillen homology.
Robinson, Alan (C. Alan) +1 more
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Entanglement entropy on a fuzzy sphere with a UV cutoff
Journal of High Energy Physics, 2018 We introduce a UV cutoff into free scalar field theory on the noncommutative (fuzzy) two-sphere. Due to the IR-UV connection, varying the UV cutoff allows us to control the effective nonlocality scale of the theory.
Hong Zhe Chen, Joanna L. Karczmarek
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Beyond second-moment approximation in fuzzy-field-theory-like matrix models
Journal of High Energy Physics, 2022 We investigate the phase structure of a special class of multi-trace hermitian matrix models, which are candidates for the description of scalar field theory on fuzzy spaces.
Mária Šubjaková, Juraj Tekel
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Introduction to Non Commutative Algebraic Geometry [PDF]
, 2015 Ordinary commutative algebraic geometry is based on commutative polynomial algebras over an algebraically closed field k. Here we make a natural generalization to matrix polynomial k-algebras which are non-commutative coordinate rings of non-commutative ...
Siqveland, Arvid
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Detecting scaling in phase transitions on the truncated Heisenberg algebra
Journal of High Energy Physics, 2021 We construct and analyze a phase diagram of a self-interacting matrix field coupled to curvature of the non-commutative truncated Heisenberg space. The model reduces to the renormalizable Grosse-Wulkenhaar model in an infinite matrix size limit and ...
Dragan Prekrat +2 more
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Motivic Structures in Non-commutative Geometry [PDF]
Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), 2011 LaTeX 2e, 24 pages.
openaire +3 more sources
Non-commutative geometry, non-associative geometry and the standard model of particle physics
New Journal of Physics, 2014 Connes’ notion of non-commutative geometry (NCG) generalizes Riemannian geometry and yields a striking reinterepretation of the standard model of particle physics, coupled to Einstein gravity.
Latham Boyle, Shane Farnsworth
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Time dependence of entanglement entropy on the fuzzy sphere
Journal of High Energy Physics, 2017 We numerically study the behaviour of entanglement entropy for a free scalar field on the noncommutative (“fuzzy”) sphere after a mass quench. It is known that the entanglement entropy before a quench violates the usual area law due to the non-local ...
Philippe Sabella-Garnier
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