Results 21 to 30 of about 90,797 (173)
Four-dimensional noncommutative deformations of U(1) gauge theory and L ∞ bootstrap.
Journal of High Energy Physics, 2022 We construct a family of four-dimensional noncommutative deformations of U(1) gauge theory following a general scheme, recently proposed in JHEP 08 (2020) 041 for a class of coordinate-dependent noncommutative algebras.
Maxim Kurkov, Patrizia Vitale
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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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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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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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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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Manifest Supersymmetry in Non-Commutative Geometry [PDF]
, 1999 We consider the open superstring ending on a D-brane in the presence of a constant NS-NS B field, using the Green-Schwarz formalism. Quantizing in the light-cone gauge, we find that the anti-commutation relations for the fermionic variables of superspace
Chu, Chong-Sun, Zamora, Frederic
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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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