6,614 research outputs found
Factoring Polynomials over Finite Fields using Balance Test
We study the problem of factoring univariate polynomials over finite fields.
Under the assumption of the Extended Riemann Hypothesis (ERH), (Gao, 2001)
designed a polynomial time algorithm that fails to factor only if the input
polynomial satisfies a strong symmetry property, namely square balance. In this
paper, we propose an extension of Gao's algorithm that fails only under an even
stronger symmetry property. We also show that our property can be used to
improve the time complexity of best deterministic algorithms on most input
polynomials. The property also yields a new randomized polynomial time
algorithm
Helicity-dependent generalized parton distributions for nonzero skewness
We investigate the helicity dependent generalized parton distributions (GPDs)
in momentum as well as transverse position (impact) spaces for up and down
quarks in a proton when the momentum transfer in both the transverse and
longitudinal directions are nonzero. The GPDs are evaluated using the
light-front wavefunctions of a quark-diquark model for nucleon where the
wavefunctions are constructed by the soft-wall AdS/QCD correspondence. We also
express the GPDs in the boost-invariant longitudinal position space.Comment: 13 pages, 10 figures; to appear in Eur. Phys. J. C. arXiv admin note:
text overlap with arXiv:1509.0059
Longitudinal momentum densities in transverse plane for nucleons
We present a study of longitudinal momentum densities ()
in the transverse impact parameter space for and quarks in both
unpolarized and transversely polarized nucleons by taking a two dimensional
Fourier transform of the gravitational form factors with respect to the
momentum transfer in the transverse direction. The gravitational form factors
are obtained by the second moments of GPDs. Here we consider the GPDs of two
different soft-wall models in AdS/QCD correspondence.Comment: 12 pages, 9 figures; text modifie
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