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The aim of this contribution is twofold. First, we show that when two (or more) different quantum groups share the same noncommutative spacetime, such an 'ambiguity' can be resolved by considering together their corresponding noncommutative…

High Energy Physics - Theory · Physics 2023-12-21 Francisco J. Herranz , Angel Ballesteros , Giulia Gubitosi , Ivan Gutierrez-Sagredo

We consider a noncommutative standard model with a minimal coupling scalar field and a dynamical deformation between the canonical momenta of its scale factor and scalar field, and a chameleon model with a non-minimally coupling scalar…

General Relativity and Quantum Cosmology · Physics 2018-05-25 Nasim Saba , Mehrdad Farhoudi

In this article, we will define non-commutative covering spaces using Hopf-Galois theory. We will look at basic properties of covering spaces that still hold for these non-commutative analogues. We will describe examples including coverings…

Quantum Algebra · Mathematics 2016-12-28 Clarisson Rizzie Canlubo

In the recent years, field theory on non-commutative (NC) spaces has attracted a lot of attention. Most literature on this subject deals with perturbation theory, although the latter runs into grave problems beyond one loop. Here we present…

High Energy Physics - Theory · Physics 2007-05-23 W. Bietenholz , F. Hofheinz , J. Nishimura

A new version of scale analysis and renormalization theory has been found on the non-commutative Moyal space. It could be useful for physics beyond the standard model or for standard physics in strong external field. The good news is that…

High Energy Physics - Theory · Physics 2015-05-13 Vincent Rivasseau

An overview of recent developments in the renormalization and in the implementation of spacetime symmetries of noncommutative field theory is presented, and argued to be intimately related.

High Energy Physics - Theory · Physics 2008-11-26 Richard J. Szabo

In this work we carry out a noncommutative analysis of several Friedmann-Robert-Walker models, coupled to different types of perfect fluids and in the presence of a cosmological constant. The classical field equations are modified, by the…

High Energy Physics - Theory · Physics 2015-06-03 E. M. C. Abreu , M. V. Marcial , A. C. R. Mendes , W. Oliveira , G. Oliveira-Neto

Decaying vacuum models are a class of models that incorporate the vacuum energy density as a time-evolving entity that has the potential to explain the entire evolutionary history of the universe in a single framework. A general solution to…

General Relativity and Quantum Cosmology · Physics 2021-03-30 Sarath N , Titus K. Mathew

Some very simple models of gauge systems with noncanonical symplectic structures having $sl(2,r)$ as the gauge algebra are given. The models can be interpreted as noncommutative versions of the usual $SL(2,\mathbb{R})$ model of…

High Energy Physics - Theory · Physics 2007-05-23 Vladimir Cuesta , Merced Montesinos , Jose David Vergara

We start by reviewing the formulation of noncommutative quantum mechanics as a constrained system. Then, we address to the problem of field theories defined on a noncommutative space-time manifold. The Moyal product is introduced and the…

High Energy Physics - Theory · Physics 2009-11-10 H. O. Girotti

The phenomenological investigation of noncommutative space-time in the laboratory frame are presented. We formulate the apparent time variation of noncommutativity parameter $\theta_{\mu\nu}$ in the laboratory frame due to the earth's…

High Energy Physics - Phenomenology · Physics 2016-09-06 Jun-ichi Kamoshita

In this article we review the electroweak charged and neutral currents in the Non-Commutative Standard Model (NCSM) and compute the Higgs and Yukawa parts of the NCSM action. With the aim to make the NCSM accessible to phenomenological…

High Energy Physics - Phenomenology · Physics 2009-01-07 B. Melic , K. Passek-Kumericki , J. Trampetic , P. Schupp , M. Wohlgenannt

It has been argued that the spacetime of our universe can be accurately described by a perturbed conformal Newtonian metric, and hence even large density inhomogeneities in a dust universe can not change the observables predicted by the…

Astrophysics · Physics 2008-11-26 Edward W. Kolb , Valerio Marra , Sabino Matarrese

In this talk we provide arguments on possible relation between the cosmological constant in our space and the non-commutativity parameter of the internal space of compactified string theory. The arguments are valid in the context of D3/D7…

High Energy Physics - Theory · Physics 2007-05-23 Renata Kallosh

We present allowed regions in the space of observables of certain non-leptonic B-meson decays that characterize these modes within the Standard Model. A future measurement of observables lying significantly outside of these regions would…

High Energy Physics - Phenomenology · Physics 2009-10-31 Robert Fleischer , Joaquim Matias

We review an approach to non-commutative geometry, where models are constructed by quantisation of the coordinates. In particular we focus on the full DFR model and its irreducible components; the (arbitrary) restriction to a particular…

Mathematical Physics · Physics 2010-09-24 Gherardo Piacitelli

Recently, there has been a certain amount of activity around the theme of cosmological and astrophysical applications of noncommutative geometry models of particle physics. We study space-time non-commutativity applied to the hydrogen atom…

High Energy Physics - Phenomenology · Physics 2019-01-15 M. Moumni , A. BenSlama , S. Zaim

I describe some phenomenological contexts in which it is possible to investigate effects induced by (string-motivated) canonical noncommutative spacetime. Due to the peculiar structure of the theory the usual criteria adopted for the choice…

High Energy Physics - Theory · Physics 2007-05-23 Luisa Doplicher

We study the issue of the electrodynamics theory in noncommutative curved space time (NCCST) with a new star-product. In this paper, the motion equation of electrodynamics and canonical energy-momentum tensor in noncommutative curved space…

Mathematical Physics · Physics 2011-01-13 Abolfazl Jafari

We consider the deformed Poincare group describing the space-time symmetry of noncommutative field theory. It is shown how the deformed symmetry is related to the explicit symmetry breaking.

High Energy Physics - Theory · Physics 2009-11-11 C. Gonera , P. Kosinski , P. Maslanka , S. Giller