Results 11 to 20 of about 200,382 (172)
Non-commutative geometry, non-associative geometry and the standard model of particle physics
Connes’ notion of non-commutative geometry (NCG) generalizes Riemannian geometry and yields a striking reinterepretation of the standard model of particle physics, coupled to Einstein gravity.
Latham Boyle, Shane Farnsworth
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Gravitational Measurements in Higher Dimensions
We attempt to study three significant tests of general relativity in higher dimensions, both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of Einstein’s equation in higher dimensions ...
Davood Mahdavian Yekta+2 more
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Perturbation theory for the logarithm of a positive operator
In various contexts in mathematical physics, such as out-of-equilibrium physics and the asymptotic information theory of many-body quantum systems, one needs to compute the logarithm of a positive unbounded operator.
Nima Lashkari+2 more
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Thermodynamics of high order correction for Schwarzschild-AdS black hole in non-commutative geometry [PDF]
Under the premise that quantum gravity becomes non-negligible, higher-order corrections of non-commutative geometry dominate. In this paper, we studied the thermodynamics of high-order corrections for Schwarzschild-AdS black hole with Lorentz ...
Baoyu Tan
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Second moment fuzzy-field-theory-like matrix models
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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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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Open-string non-associativity in an R-flux background
We derive the commutation relations for open-string coordinates on D-branes in non-geometric background spaces. Starting from D0-branes on a three-dimensional torus with H -flux, we show that open strings with end points on D3-branes in a three ...
Dieter Lüst+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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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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Poisson gauge models and Seiberg-Witten map
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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