Results 31 to 40 of about 971 (194)
Non-commutative geometry and the strong force [PDF]
Physics Letters B, 1996 The restrictions imposed on the strong force in the `non-commutative standard model' are examined. It is concluded that given the framework of non-commutative geometry and assuming the electroweak sector of the standard model many details of the strong force can be explained including its vectorial nature.
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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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Generalized entanglement entropy, charges, and intertwiners
Journal of High Energy Physics, 2020 The entanglement theory in quantum systems with internal symmetries is rich due to the spontaneous creation of entangled pairs of charge/anti-charge particles at the entangling surface.
Keiichiro Furuya +2 more
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Poisson gauge models and Seiberg-Witten map
Journal of High Energy Physics, 2022 The semiclassical limit of full non-commutative gauge theory is known as Poisson gauge theory. In this work we revise the construction of Poisson gauge theory paying attention to the geometric meaning of the structures involved and advance in the ...
V. G. Kupriyanov +2 more
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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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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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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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Nuclear Physics BThis work presents a comprehensive analysis of the geodesic motion, scalar field perturbations, and thermodynamic behavior of a static, spherically symmetric black hole solution arising within the framework of non-commutative geometry and incorporating ...
Faizuddin Ahmed +2 more
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