We investigate the helicity dependent twist-two and twist-three generalized parton distributions in light-front Hamiltonian QCD for a massive dressed quark target. Working in the kinematical region ξ < x < 1, we obtain the splitting functions for the evolutions of twist-two quark and gluon distributions in a straightforward way. For the twist-three distribution, we find that all contributions a...

Theory of matrix factorizations is useful to study hypersurfaces in commutative algebra. To noncommutative hypersurfaces, which are important objects algebraic geometry, we introduce a notion factorization for an arbitrary nonzero non-unit element ring. First show that the category graded invariant under operation called twist (this result generalization by Cassidy-Conner-Kirkman-Moore). Then g...

The stabilization of the metastable 180 degrees twist state in a bistable chiral splay nematic liquid crystal device is studied. The stability of the metastable 180 degrees twist state is explained using the azimuthal anchoring strength, which is a function of the twist elastic constant and the cell gap. A stable 180 degrees twist state as well as the permanent retention time can be obtained by...

OBJECTIVES To compute left ventricular (LV) twist from 3-dimensional (3D) echocardiography. BACKGROUND LV twist is a sensitive index of cardiac performance. Conventional 2-dimensional based methods of computing LV twist are cumbersome and subject to errors. METHODS We studied 10 adult open-chest pigs. The pre-load to the heart was altered by temporary controlled occlusion of the inferior ve...

Increased left ventricular (LV) twist and untwisting rate (LV twist mechanics) are essential responses of the heart to exercise. However, previously a large variability in LV twist mechanics during exercise has been observed, which complicates the interpretation of results. This study aimed to determine some of the physiological sources of variability in LV twist mechanics during exercise. Sixt...

Most liquid crystal displays make use of the elect roopt ic properties of twisted nematic layers. Both the s tandard twisted nematic displays of 90° twist [1] as well as the recently developed 'supertwist ' displays of more than 180° twist [2] require director fields which depend only on one spatial coordinate, the coordinate z parallel to the layer normal. Director fields which depend on more ...

We present a first study of gluonic twist-four corrections to the deep inelastic structure function F2 at small x and small Q2. The calculations are based upon the double logarithmic approximation of the coupled twist-four evolution equations of the gluonic twist-four operators that are expected to be dominant at small x. We first review the analytical results which are presently available and ...

We investigate the influence of higher twist corrections to deep inelastic structure functions in the low-Q 2 and small-x HERA region. We review the general features of the lowest-order QCD diagrams which contribute to twist-4 at small-x, in particular the sign structure of longitudinal and transverse structure functions which offers the possibility of strong cancellations in F 2. For a numeric...