Results 31 to 40 of about 1,466 (235)
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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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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Grand unification in non-commutative geometry [PDF]
Nuclear Physics B, 1993 25 pages, ZU-TH-30/1992 and ETH/TH/92 ...
Chamseddine, A. H. +2 more
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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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Differential algebras in non-commutative geometry [PDF]
Journal of Geometry and Physics, 1995 We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions $\otimes$ matrix are shown to be skew tensorproducts of differential forms with a specific matrix algebra.
Kalau, W. +3 more
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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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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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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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