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We determine the stability conditions for a radially symmetric noncommutative scalar soliton at finite noncommutivity parameter $\theta$. We find an intriguing relationship between the stability and existence conditions for all level-1…

High Energy Physics - Theory · Physics 2010-02-03 Mark G. Jackson

Noncommutative algebra which is rotationally invariant, time reversal invariant and equivalent to noncommutative algebra of canonical type is considered. Perihelion shift of orbit of a particle in Coulomb potential in the…

Quantum Physics · Physics 2021-04-27 Kh. P. Gnatenko

In this paper we construct a version of the standard model gauge sector on noncommutative space-time which is one-loop renormalizable to first order in the expansion in the noncommutativity parameter $\theta$.

High Energy Physics - Theory · Physics 2008-11-26 V. Radovanovic , M. Buric , J. Trampetic

In the present work, we study the noncommutative version of a quantum cosmology model. The model has a Friedmann-Robertson-Walker geometry, the matter content is a radiative perfect fluid and the spatial sections have zero constant…

General Relativity and Quantum Cosmology · Physics 2016-05-05 G. Oliveira-Neto , M. Silva de Oliveira , G. A. Monerat , E. V. Corrêa Silva

Noncommutative version of D-dimensional relativistic particle is proposed. We consider the particle interacting with the configuration space variable $\theta^{\mu\nu}(\tau)$ instead of the numerical matrix. The corresponding Poincare…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Deriglazov

We derive the analytical properties of the elastic forward scattering amplitude of two scalar particles from the axioms of the noncommutative quantum field theory. For the case of only space-space noncommutativity, i.e. $\theta_{0i}=0$, we…

High Energy Physics - Theory · Physics 2010-04-05 M. Chaichian , M. N. Mnatsakanova , A. Tureanu , Yu. S. Vernov

We investigate an inflationary model of the universe based on the assumption that space-time is noncommutative in the very early universe. We analyze the effects of space-time noncommutativity on the quantum fluctuations of an inflaton…

High Energy Physics - Theory · Physics 2010-04-05 Masafumi Fukuma , Yuji Kono , Akitsugu Miwa

We construct algebra with noncommutativity of coordinates and noncommutativity of momenta which is rotationally invariant and equivalent to noncommutative algebra of canonical type. Influence of noncommutativity on the energy levels of…

Quantum Physics · Physics 2017-09-15 Kh. P. Gnatenko , V. M. Tkachuk

A deformed Bianchi type I metric in noncommutative gauge gravity is obtained. The gauge potential (tetrad fields) and scalar curvature are determined up to the second order in the noncommutativity parameters. The noncommutativity correction…

High Energy Physics - Theory · Physics 2010-12-27 S. Zaim , Z. Aouachria

In order to overcome ambiguity problem on identification of mathematical objects in noncommutative theory with physical observables, quantum mechanical system coupled to the NC U(1) gauge field in the noncommutative space is reformulated by…

High Energy Physics - Theory · Physics 2009-11-10 Akira Kokado , Takashi Okamura , Takesi Saito

Inelastic neutron scattering was used to determine the spin Hamiltonian for the singlet ground state system of fully deuterated BPCB, (C$_{5}$D$_{12}$N)$_{2}$CuBr$_{4}$. A 2-leg spin-1/2 ladder model, with $J_\bot = (1.09 \pm 0.01)$ meV and…

One-loop theta-exact quantum corrections to the neutrino propagator are computed in noncommutative U*(1) gauge-theory based on Seiberg-Witten maps. Our closed form results show that the one-loop correction contains a hard 1/epsilon UV…

High Energy Physics - Theory · Physics 2015-06-03 R. Horvat , A. Ilakovac , P. Schupp , J. Trampetic , J. You

The three original publications in this thesis encompass various aspects in the still developing area of noncommutative quantum field theory, ranging from fundamental concepts to model building. One of the key features of noncommutative…

High Energy Physics - Theory · Physics 2009-09-17 Sami Saxell

We study the conditions for spontaneous symmetry breaking of the (2+1)-dimensional noncommutative phi^6 model in the small-theta limit. In this regime, considering the model as a cutoff theory, it is reasonable to assume translational…

High Energy Physics - Theory · Physics 2009-11-10 G. D. Barbosa

Recently a version of Lorentz-conserving noncommutative field theory (NCFT) has been suggested. The underlying Lie algebra of the theory is the same as that of Doplicher, Fredenhagen, and Roberts. In Lorentz-conserving NCFT the matrix…

High Energy Physics - Phenomenology · Physics 2009-11-10 Justin M. Conroy , Herry J. Kwee , Vahagn Nazaryan

In this paper we study the noncommutative effects to the lepton spectrum from the decay of a polarized top quark. It is shown that the lowest contribution comes from the quadratic terms of the noncommutative parameter. The deviations from…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mojtaba Mohammadi Najafabadi

We discuss a general method of revealing both space-space and space-time noncommuting structures in various models in particle mechanics exhibiting reparametrisation symmetry. Starting from the commuting algebra in the conventional gauge,…

High Energy Physics - Theory · Physics 2008-11-26 Rabin Banerjee , Biswajit Chakraborty , Sunandan Gangopadhyay

We study the space-time symmetries and transformation properties of the non-commutative U(1) gauge theory, by using Noether charges. We carry out our analysis by keeping an open view on the possible ways $\theta^{\mu \nu}$ could transform.…

High Energy Physics - Theory · Physics 2009-11-07 A. Iorio , T. Sykora

Stationary scattering of TE and TM waves propagating in an isotropic medium with planar symmetry is described by Bergmann's equation in one dimension. This is a generalization of Helmholtz equation which allows for developing transfer…

Optics · Physics 2025-10-21 Farhang Loran , Ali Mostafazadeh , Cem Yetişmişoğlu

We consider the noncommutative algebra which is rotationally invariant. The hydrogen atom is studied in a rotationally invariant noncommutative space. We find the corrections to the energy levels of the hydrogen atom up to the second order…

Quantum Physics · Physics 2014-11-04 Kh. P. Gnatenko , V. M. Tkachuk
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