Results 21 to 30 of about 1,466 (235)
Beyond second-moment approximation in fuzzy-field-theory-like matrix models
Journal of High Energy Physics, 2022 We investigate the phase structure of a special class of multi-trace hermitian matrix models, which are candidates for the description of scalar field theory on fuzzy spaces.
Mária Šubjaková, Juraj Tekel
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Detecting scaling in phase transitions on the truncated Heisenberg algebra
Journal of High Energy Physics, 2021 We construct and analyze a phase diagram of a self-interacting matrix field coupled to curvature of the non-commutative truncated Heisenberg space. The model reduces to the renormalizable Grosse-Wulkenhaar model in an infinite matrix size limit and ...
Dragan Prekrat +2 more
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The multitrace matrix model: An alternative to Connes NCG and IKKT model in 2 dimensions
Physics Letters B, 2016 We present a new multitrace matrix model, which is a generalization of the real quartic one matrix model, exhibiting dynamical emergence of a fuzzy two-sphere and its non-commutative gauge theory.
Badis Ydri
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Second moment fuzzy-field-theory-like matrix models
Journal of High Energy Physics, 2020 We solve a multitrace matrix model approximating the real quartic scalar field theory on the fuzzy sphere and obtain its phase diagram. We generalize this method to models with modified kinetic terms and demonstrate its use by investigating models ...
Mária Šubjaková, Juraj Tekel
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Gravity in non-commutative geometry [PDF]
Communications in Mathematical Physics, 1993 ZU-TH-30/1992 and ETH/TH/92/44, 11 pages. (The earlier version of this paper was the incomplete and unedited file which accidently replaced the corrected file)
Chamseddine, A. H. +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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Lie-Poisson gauge theories and κ-Minkowski electrodynamics
Journal of High Energy Physics, 2023 We consider gauge theories on Poisson manifolds emerging as semiclassical approximations of noncommutative spacetime with Lie algebra type noncommutativity.
V. G. Kupriyanov +2 more
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Gauge theories and non‐commutative geometry [PDF]
Fortschritte der Physik, 2006 AbstractIt is shown that a d‐dimensional classical SU(N) Yang‐Mills theory can be formulated in a d+2‐dimensional space, with the extra two dimensions forming a surface with non‐commutative geometry.
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Manifest supersymmetry in non-commutative geometry [PDF]
Journal of High Energy Physics, 2000 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 remain unmodified. We also derive the unbroken supersymmetry algebra living on the D-brane.
Chu, Chong-Sun, Zamora, Frederic
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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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