Results 31 to 40 of about 391 (182)
Noncommutative geometry as a regulator [PDF]
Physical Review D, 2000 We give a perturbative quantization of space-time $R^4$ in the case where the commutators $C^{μν}=[X^μ,X^ν]$ of the underlying algebra generators are not central . We argue that this kind of quantum space-times can be used as regulators for quantum field theories . In particular we show in the case of the $ϕ^4$ theory that by choosing appropriately the
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REVIEW OF THE PHENOMENOLOGY OF NONCOMMUTATIVE GEOMETRY [PDF]
International Journal of Modern Physics A, 2004 We present a pedagogical review of particle physics models that are based on the noncommutativity of space–time, [Formula: see text], with specific attention to the phenomenology these models predict in particle experiments either in existence or under development.
Hinchliffe, I., Kersting, N., Ma, Y. L.
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Nonlinear connections and spinor geometry
International Journal of Mathematics and Mathematical Sciences, 2004 We present an introduction to the geometry of higher-order vector and covector bundles (including higher-order generalizations of the Finsler geometry and Kaluza-Klein gravity) and review the basic results on Clifford and spinor structures on spaces ...
Sergiu I. Vacaru, Nadejda A. Vicol
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Quantum Spacetime, Noncommutative Geometry and Observers
Universe, 2021 I discuss some issues related to the noncommutative spaces κ and its angular variant ρ-Minkowski with particular emphasis on the role of observers.
Fedele Lizzi
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Noncommutative Schwarzschild geometry and generalized uncertainty principle
European Physical Journal C: Particles and Fields, 2019 We discuss a possible link between the deformation parameter $$\Theta ^{\mu \nu }$$ Θμν arising in the framework of noncommutative geometry and the parameter $$\beta $$ β of the generalized uncertainty principle (GUP). We compute the shift of the Hawking
T. Kanazawa +3 more
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REMARKS ON INFLATION AND NONCOMMUTATIVE GEOMETRY [PDF]
Modern Physics Letters A, 2001 We briefly discuss some possible cosmological implications of noncommutative geometry. While the noncommutativity we consider does not affect gravity, it can play an important role in the dynamics of other fields that are present in the early universe.
Chu, CS, Greene, BR, Shiu, Man Lai Gary
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Spectral Triples in Particle Physics
EPJ Web of Conferences, 2018 We give an overview of the approach to the Standard Model of Particle Physics and its extensions based on the Noncommutative Geometry. The notion of spectral triples is introduced and their applications in particle physics are presented. We revisit known
Bochniak Arkadiusz
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Noncommutative gauge theories on D-branes in non-geometric backgrounds
Journal of High Energy Physics, 2019 We investigate the noncommutative gauge theories arising on the worldvolumes of D-branes in non-geometric backgrounds obtained by T-duality from twisted tori.
Chris Hull, Richard J. Szabo
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Top Quark Pair-Production in Noncommutative Standard Model
Advances in High Energy Physics, 2020 The differential cross-section of the top quark pair production via the quark-antiquark annihilation subprocess in hadron collision is calculated within the noncommutative standard model. A pure NC analytical expression for the forward-backward asymmetry
M. Fisli, N. Mebarki
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String Geometry and the Noncommutative Torus [PDF]
Communications in Mathematical Physics, 1999 37 pages, LaTeX. Major revisions in section 3.
LANDI G., LIZZI, FEDELE, SZABO R.
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