Results 31 to 40 of about 259 (132)
LOCALITY, CAUSALITY AND NONCOMMUTATIVE GEOMETRY [PDF]
International Journal of Modern Physics A, 2006 We analyze the causality condition in noncommutative field theory and show that the nonlocality of noncommutative interaction leads to a modification of the light cone to the light wedge. This effect is generic for noncommutative geometry. We also check that the usual form of energy condition is violated and propose that a new form is needed in ...
Chu, Chong-Sun, Furuta, Ko, Inami, Takeo
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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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LECTURES ON NONCOMMUTATIVE GEOMETRY [PDF]
, 2008 112 pages. Final mildly revised version to appear in the volume ``An Invitation to Noncommutative Geometry".
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Time discretization from noncommutativity
Physics Letters B, 2021 We show that a particular noncommutative geometry, sometimes called angular or ρ-Minkowski, requires that the spectrum of time be discrete. In this noncommutative space the time variable is not commuting with the angular variable in cylindrical ...
Fedele Lizzi, Patrizia Vitale
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Oberwolfach Reports, 2008 Noncommutative geometry applies ideas from geometry to mathematical structures determined by noncommuting variables. Within mathematics, it is a highly interdisciplinary subject drawing ideas and methods from many areas of mathematics and physics. Natural questions involving noncommuting variables arise in abundance in many parts of mathematics and ...
Alain Connes +2 more
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Geometry of essential matrix ranges and the Smith–Ward problem for operator systems
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract A d$d$‐tuple of bounded linear selfadjoint operators acting on an infinite‐dimensional separable Hilbert space is said to have the Smith–Ward property if the identity map of the image of the operator system in the Calkin algebra has a completely positive lift.
Douglas Farenick +2 more
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Type-II two-Higgs-doublet model in noncommutative geometry
Nuclear Physics B, 2022 In noncommutative geometry (NCG) the spectral action principle predicts the standard model (SM) particle masses by constraining the scalar and Yukawa couplings at some heavy scale, but gives an inconsistent value for the Higgs mass.
Fredy Jimenez +2 more
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A Unified Framework From Boltzmann Transport to Proton Treatment Planning
Studies in Applied Mathematics, Volume 157, Issue 2, August 2026.ABSTRACT We develop a unified stochastic–deterministic framework for proton transport in radiotherapy. The deterministic formulation is based on a Boltzmann–Fokker–Planck (BFP) equation with continuous slowing‐down, angular diffusion, and scattering terms, posed in a kinetic variational setting.
Andreas E. Kyprianou +2 more
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NONCOMMUTATIVE GEOMETRY, STRINGS AND DUALITY [PDF]
International Journal of Modern Physics B, 2000 In this talk, based on work done in collaboration with G. Landi and R. J. Szabo, I will review how string theory can be considered as a noncommutative geometry based on an algebra of vertex operators. The spectral triple of strings is introduced, and some of the string symmetries, notably target space duality, are discussed in this framework.
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Derivations of the Moyal Algebra and Noncommutative Gauge Theories
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The differential calculus based on the derivations of an associative algebra underlies most of the noncommutative field theories considered so far. We review the essential properties of this framework and the main features of noncommutative connections ...
Jean-Christophe Wallet
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