Plasma dispersion in fractional-dimensional space

Abstract

The dielectric function for electron gas with parabolic energy bands is derived in a fractional dimensional space. The static response function shows a good dimensional dependence. The plasma frequencies are obtained from the roots of the dielectric functions. The plasma dispersion shows strong dimensional dependence. It is found that the plasma frequencies in the low dimensional systems are strongly dependent on the wave vector. It is weakly dependent in the three dimensional system and has a finite value at zero wave vector.

Re-evaluation of neutrino mixing pattern according to latest T2K result

“…With the above experimental results as well as phenomenological deduction, combined with the quark-lepton complementarity (QLC) relations [8][9][10][11][12][13][14][15][16][17][18][19] given by…”

“…In the last decade, international collaborations have been established to focus on the measurement of θ 13 , e.g., Double Chooz in France, Reactor Experiment for Neutrino Oscillations (RENO) in South Korea, Daya Bay Experiment in China, NOνA in United States, and Tokai to Kamioka (T2K) experiment in Japan. With the appearance of the latest result from T2K [5], which indicates a relatively large θ 13 , we need to re-evaluate our understanding on neutrino masses and mixings, especially on the neutrino mixing pattern [6,7].…”

“…From bimaximal (BM) mixing, trimaximal (TB) mixing to the tribimaximal mixing, various neutrino mixing patterns have been brought up and later evaluated by the experimental data. On the other hand, the underlying unification and symmetry concerning leptons and quarks are speculated from some clues of low energy experimental data, such as the quark-lepton complementarity (QLC) [8][9][10][11][12][13][14][15][16][17][18][19]. As the first result from T2K offers new bounds on the smallest neutrino mixing angles, we aim to make an analysis on the implications and consequences from the observation of a nonzero and also not so small value of θ 13 .…”

Multi-component dark matter with magnetic moments for Fermi-LAT gamma-ray line

“…The present model can accommodate a discrete parity symmetry to solve the strong CP problem without an axion [59,71]. Furthermore, the neutral neutrinos can have a two-loop induced Dirac mass matrix proportional to the SM charged lepton mass matrix [72]. One can introduce more fermions or scalars to generate the desired neutrino masses and mixing.…”