Results 21 to 30 of about 971 (194)
The multitrace matrix model: An alternative to Connes NCG and IKKT model in 2 dimensions
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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A novel approach to non-commutative gauge theory
We propose a field theoretical model defined on non-commutative space-time with non-constant non-commutativity parameter Θ(x), which satisfies two main requirements: it is gauge invariant and reproduces in the commutative limit, Θ → 0, the standard U(1 ...
Vladislav G. Kupriyanov, Patrizia Vitale
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The Poisson gauge algebra is a semi-classical limit of complete non- commutative gauge algebra. In the present work we formulate the Poisson gauge theory which is a dynamical field theoretical model having the Poisson gauge algebra as a corresponding ...
Vladislav G. Kupriyanov
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Gauge theories and non‐commutative geometry [PDF]
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
Braided quantum electrodynamics
The homotopy algebraic formalism of braided noncommutative field theory is used to define the explicit example of braided electrodynamics, that is, U(1) gauge theory minimally coupled to a Dirac fermion.
Marija Dimitrijević Ćirić +3 more
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Time dependence of entanglement entropy on the fuzzy sphere
We numerically study the behaviour of entanglement entropy for a free scalar field on the noncommutative (“fuzzy”) sphere after a mass quench. It is known that the entanglement entropy before a quench violates the usual area law due to the non-local ...
Philippe Sabella-Garnier
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κ-Minkowski-deformation of U(1) gauge theory
We construct a noncommutative kappa-Minkowski deformation of U(1) gauge theory, following a general approach, recently proposed in JHEP 08 (2020) 041.
V. G. Kupriyanov, M. Kurkov, P. Vitale
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Monopole star products are non-alternative
Non-associative algebras appear in some quantum-mechanical systems, for instance if a charged particle in a distribution of magnetic monopoles is considered.
Martin Bojowald +3 more
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Beyond second-moment approximation in fuzzy-field-theory-like matrix models
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
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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