Results 41 to 50 of about 916 (188)
Pseudo-Riemannian structures in Pati-Salam models
Journal of High Energy Physics, 2020 We discuss the role of the pseudo-Riemannian structure of the finite spectral triple for the family of Pati-Salam models. We argue that its existence is a very restrictive condition that separates leptons from quarks, and restricts the whole family of ...
A. Bochniak, T.E. Williams, P. Zalecki
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Journal of High Energy Physics, 2021 The Poisson gauge algebra is a semi-classical limit of complete non- commutative gauge algebra. In the present work we formulate the Poisson gauge theory which is a dynamical field theoretical model having the Poisson gauge algebra as a corresponding ...
Vladislav G. Kupriyanov
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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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Motivic Structures in Non-commutative Geometry [PDF]
Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), 2011 LaTeX 2e, 24 pages.
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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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Monopole star products are non-alternative
Journal of High Energy Physics, 2017 Non-associative algebras appear in some quantum-mechanical systems, for instance if a charged particle in a distribution of magnetic monopoles is considered.
Martin Bojowald +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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On tea, donuts and non-commutative geometry [PDF]
Surveys in Mathematics and its Applications, 2018 As many will agree, it feels good to complement a cup of tea by a donut or two. This sweet relationship is also a guiding principle of non-commutative geometry known as Serre Theorem.
Igor V. Nikolaev
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Linear connections in non-commutative geometry [PDF]
Classical and Quantum Gravity, 1995 A construction is proposed for linear connections on non-commutative algebras. The construction relies on a generalisation of the Leibnitz rules of commutative geometry and uses the bimodule structure of $Ω^1$. A special role is played by the extension to the framework of non-commutative geometry of the permutation of two copies of $Ω^1$.
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