Results 31 to 40 of about 916 (188)

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
doaj   +1 more source

Categorical Non-commutative Geometry

Journal of Physics: Conference Series, 2012
The purpose of this short note was to outline the current status, then in 2011, of some research programs aiming at a categorification of parts of A.Connes' non-commutative geometry and to provide an outlook on some possible subsequent developments in categorical non-commutative geometry.
Bertozzini, Paolo, CONTI, ROBERTO, Lewkeeratiyutkul, Wicharn   +2 more
openaire   +2 more sources

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
doaj   +1 more source

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, Kristina Neli Todorović-Vasović, Dragana Ranković   +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
doaj   +1 more source

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.
openaire   +3 more sources

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, M. A. Kurkov, P. Vitale   +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, M. A. Kurkov, P. Vitale   +2 more
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source