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We investigate the model dependence of no-helicity flip generalized parton distribution of the pion upon different approaches for the quark-hadron and quark-photon vertexes, in the spacelike region. In order to obtain information on…

High Energy Physics - Phenomenology · Physics 2009-11-06 T. Frederico , E. Pace , B. Pasquini , G. Salmé

We propose a simple low-energy classical experiment in which the effects of noncommutativity can be clearly separated from commutative physics. The ensuing bound on the noncommutative scale is remarkable, especially in view of its…

High Energy Physics - Theory · Physics 2009-11-10 Ciprian S. Acatrinei

We discuss non commutative functions, which naturally arise when dealing with functions of more than one matrix variable.

Functional Analysis · Mathematics 2017-08-22 Jim Agler , John E. McCarthy

High-energy, multi-component plasmas in which pair creation and annihilation, lepton-lepton scattering, lepton-proton scattering, and Comptonization all contribute to establishing the particle and photon distributions, are present in a…

Astrophysics · Physics 2014-10-13 Sergei Nayakshin , Fulvio Melia

The double parton distribution functions are investigated in the region of small longitudinal momentum fractions in the leading logarithm approximation of perturbative QCD. It is shown that these functions have the factorization property in…

High Energy Physics - Phenomenology · Physics 2011-03-23 A. M. Snigirev

The distribution of the spin of the nucleon among its constituents can be parametrized in the form of polarized parton distribution functions for quarks and gluons. Using all available data on the polarized structure function $g_1(x,Q^2)$,…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Gehrmann , W. J. Stirling

The fractional Fokker-Planck equation for subdiffusion in time-dependent force fields is derived from the underlying continuous time random walk. Its limitations are discussed and it is then applied to the study of subdiffusion under the…

Statistical Mechanics · Physics 2009-06-02 E. Heinsalu , M. Patriarca , I. Goychuk , P. Hanggi

We consider the probabilistic description of nonrelativistic, spinless one-particle classical mechanics, and immerse the particle in a deformed noncommutative phase space in which position coordinates do not commute among themselves and…

High Energy Physics - Theory · Physics 2010-10-27 B. Muthukumar

Landau system in noncommutative space has been considered. To take into account the issue of gauge invariance in noncommutative space, we incorporate the Seiberg-Witten map in our analysis. Generalised Bopp-shift transformation is then used…

High Energy Physics - Theory · Physics 2017-04-05 Aslam Halder , Sunandan Gangopadhyay

We study some basic and interesting quantum mechanical systems in dynamical noncommutative spaces in which the space- space commutation relations are position dependent. It is observed that the fundamental objects in the dynamical…

High Energy Physics - Theory · Physics 2015-06-15 S. A. Alavi , S. Abbaspour

It has been suggested that parton distributions in coordinate space, so called Ioffe-time distributions, provide a more natural object for non-perturbative methods compared to the usual momentum distributions. In this paper we argue that…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. Mankiewicz , T. Weigl

It is shown in first order perturbation theory that anharmonic oscillators in non-commutative space behave smoothly in the commutative limit just as harmonic oscillators do. The non-commutativity provides a method for converting a problem…

High Energy Physics - Theory · Physics 2009-11-07 B. Muthukumar , P. Mitra

We investigate the equidistribution of Hecke eigenforms on sets that are shrinking towards infinity. We show that at scales finer than the Planck scale they do not equidistribute while at scales more coarse than the Planck scale they…

Number Theory · Mathematics 2022-05-05 Asbjorn Christian Nordentoft , Yiannis N. Petridis , Morten S. Risager

The Laplace transform in Komatsu ultradistributions is considered. Also, conditions are given under which an analytic function is a Laplace transformation of an ultradistribution.

Functional Analysis · Mathematics 2013-03-27 Bojan Prangoski

We study the noncommutative inflation with a time-dependent noncommutativity between space and time. From the numerical analysis of power law inflation, there are clues that the CMB spectrum indicates a nonconstant noncommutative inflation.…

High Energy Physics - Theory · Physics 2008-11-26 Wei Xue , Bin Chen , Yi Wang

We derive the correction due to noncommutativity of space on Born approximation, then the correction for the case of Yukawa potential is explicitly calculated. The correction depends on the angle of scattering. Using partial wave method it…

High Energy Physics - Theory · Physics 2010-11-05 S. A. Alavi

We have discovered an invariant distribution for local packing configurations in static granular media. This distribution holds in experiments for packing fractions covering most of the range from random loose packed to random close packed,…

Disordered Systems and Neural Networks · Physics 2007-09-19 T. Aste , T. Di Matteo , M. Saadatfar , T. J. Senden , M. Schroter , Harry L. Swinney

We constrain the energy scale of noncommutativity of spacetime using CMB data from PLANCK. We find that PLANCK data puts the lower bound on the noncommutativity energy scale to about 20 TeV, which is about a factor of two larger than a…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-08 Joby P. K. , Pravabati Chingangbam , Subinoy Das

In papers on primary state diffusion (Percival 1994, 1995), numerical estimates suggested that fluctuations in the space-time metric on the scale of the Planck time (10^-44s) could be detected using atom interferometers. In this paper we…

Quantum Physics · Physics 2009-10-30 Ian C. Percival , Walter T. Strunz

We study distributed estimation methods under communication constraints in a distributed version of the nonparametric random design regression model. We derive minimax lower bounds and exhibit methods that attain those bounds. Moreover, we…

Statistics Theory · Mathematics 2019-02-06 Botond Szabo , Harry van Zanten