The effective action for light mesons in the external uniform static electromagnetic fields was obtained on the basis of QCD string theory. We imply that in the presence of light quarks the area law of the Wilson loop integral is valid. The approximation of the Nambu-Goto straight-line string is used to simplify the problem. The Coulomb-like short-range contribution which goes from one-gluon ex...

The effective action for light mesons in the external uniform static electromagnetic fields has been obtained on the basis of QCD string theory. We argue for an area law of the Wilson loop in the presence of light quarks. The Nambu-Goto straight-line string approximation is used to simplify the problem. The Coulomb-like short-range contribution from one-gluon exchange has also been neglected. W...

We consider the Hankel determinant representation for the rational solutions of the Painlevé II equation. We give an explicit formula for the generating function of the entries in terms of logarithmic derivative of the Airy function, which by itself is a particular solution of the Painlevé II equation.

Formulations for a general theory of thermoelasticity to generate accurate thermal stresses for structural members of aeronautical vehicles were developed in 1954 by Boley. The formulation also provides three normal stresses and a shear stress along the entire length of the beam. The Poisson effect of the lateral and transverse normal stresses on a thermally loaded beam is taken into account in...

We study the distribution of area under normalized excursion a spectrally positive stable Lévy process L, as well its meander, and L conditioned to stay positive. Our results involve special case Wright’s function, which may be seen generalization classic Airy function appearing in similar Brownian’s areas.

We prove that there exists an extremal function to the Airy Strichartz inequality ‖e−t∂3 xf‖L8t,x(R×R) ≤ C‖f‖L2(R), by using the linear profile decomposition. Furthermore we show that, if f is an extremal, then f is exponentially decaying in the Fourier space and so f can be extended to be an entire function on the complex domain.

Owing to the distinguishing properties of nondiffraction, self-healing, and transverse acceleration, Airy beams have attracted much attention in the past decade. To date, a simple approach for exquisitely fabricating cubic phase plates with both continuous variation of phase and micro size still remains challenging, which limits the generation of high-quality Airy beams for integrated micro-opt...

Here we study systematically the self-focusing dynamics and collapse of vortex Airy optical beams in a Kerr medium. The collapse is suppressed compared to a non-vortex Airy beam in a Kerr medium due to the existence of vortex fields. The locations of collapse depend sensitively on the initial power, vortex order, and modulation parameters. The collapse may occur in a position where the initial ...

We have investigated the effect of Airy illumination on the image quality and depth penetration of digitally scanned light-sheet microscopy in turbid neural tissue. We used Fourier analysis of images acquired using Gaussian and Airy light-sheets to assess their respective image quality versus penetration into the tissue. We observed a three-fold average improvement in image quality at 50 μm dep...