Morphological and Syntactic Properties of Conjunction KHOT’… KHOT’... and Its Semantics

The object of the article is the conjunction khot’… khot’..., and the subject is its morphological and syntactic properties. The relevance of the work lies in its direct focus on solving problems related to the description of the service fund of the Russian language. The scientific novelty is due to the fact that for the first time in Russian studies, the semantics of the conjunction khot’… khot’... is described on the basis of its constructive properties, which are characterized by the word forms related to the union, the principles of their relationship with each other, as well as external links with the syntactic structures in which they are involved. The theoretical significance lies in the proposed description algorithm, which can be used to characterize similar means of syntactic communication. It has been established that the semantics of the conjunction khot’… khot’... is focused on the minimum that the speaker and listener should be content with, and is also closely related to the category of desirability, due to the internal form of its structural components, etymologically ascending to the basis of the presentfuture tense of the verb want. Proceeding from this, the semantics of the conjunction khot'… khot'... can be defined as the desire of the speaker to fulfill himself or to provide the listener with a free, but at the same time minimally sufficient choice from the proposed alternatives both in the upper and lower semantic limits

Particular Semantic and Syntactic Properties of Polyfunctional Lexeme LI

The object of the article is a non-descriptive lexeme. Its use is investigated in various semantic-syntactic and communicativepragmatic contexts. The relevance of the work is due to the need for amore holistic description of a number of primitive linguistic units (a, and, either, or, etc.), the categorical properties of which are not fully and systematically identified within the framework of traditional methods of analysis. The novelty of the work lies in the consideration of all uses within the framework of the functioning of the lexeme-particular of the same name. This approach is due to the principles of nonparadigmatic linguistics — a modern trend in the study of primitive lexemes. The theoretical significance of the work lies in the introduction into scientific circulation of the principles of the analysis of a particular li based on its ancient categorical properties associated with the semantics of conjecture. It has been established that in all the considered contexts we are dealing with the same particular lexeme, which retains its original categorical properties in them. They are manifested in the questioningness of li (direct or indirect), as well as in various hypothetical meanings that are realized in sentences-statements at a deep syntactic level. Asimilar description technique is applicable to the analysis of the properties of other particular units of the Russian language

Operator product expansion coefficient functions in terms of composite operators only. Nonsinglet case

A new method for calculating the coefficient functions of the operator product expansion is proposed which does not depend explicitly on elementary fields. Coefficient functions are defined entirely in terms of composite operators. The method is illustrated in the case of QCD nonsinglet operators.Comment: Derivation of the main formula is improved. References are added. To appear in Physical Review

Non-Linear Algebra and Bogolubov's Recursion

Numerous examples are given of application of Bogolubov's forest formula to iterative solutions of various non-linear equations: one and the same formula describes everything, from ordinary quadratic equation to renormalization in quantum field theory.Comment: LaTex, 21 page

Initial Conditions for Semiclassical Field Theory

Semiclassical approximation based on extracting a c-number classical component from quantum field is widely used in the quantum field theory. Semiclassical states are considered then as Gaussian wave packets in the functional Schrodinger representation and as Gaussian vectors in the Fock representation. We consider the problem of divergences and renormalization in the semiclassical field theory in the Hamiltonian formulation. Although divergences in quantum field theory are usually associated with loop Feynman graphs, divergences in the Hamiltonian approach may arise even at the tree level. For example, formally calculated probability of pair creation in the leading order of the semiclassical expansion may be divergent. This observation was interpretted as an argumentation for considering non-unitary evolution transformations, as well as non-equivalent representations of canonical commutation relations at different time moments. However, we show that this difficulty can be overcomed without the assumption about non-unitary evolution. We consider first the Schrodinger equation for the regularized field theory with ultraviolet and infrared cutoffs. We study the problem of making a limit to the local theory. To consider such a limit, one should impose not only the requirement on the counterterms entering to the quantum Hamiltonian but also the requirement on the initial state in the theory with cutoffs. We find such a requirement in the leading order of the semiclassical expansion and show that it is invariant under time evolution. This requirement is also presented as a condition on the quadratic form entering to the Gaussian state.Comment: 20 pages, Plain TeX, one postscript figur

Generalized Quark Transversity Distribution of the Pion in Chiral Quark Models

The transversity generalized parton distributions (tGPDs) of the the pion, involving matrix elements of the tensor bilocal quark current, are analyzed in chiral quark models. We apply the nonlocal chiral models involving a momentum-dependent quark mass, as well as the local Nambu--Jona-Lasinio with the Pauli-Villars regularization to calculate the pion tGPDs, as well as related quantities following from restrained kinematics, evaluation of moments, or taking the Fourier-Bessel transforms to the impact-parameter space. The obtained distributions satisfy the formal requirements, such as proper support and polynomiality, following from Lorentz covariance. We carry out the leading-order QCD evolution from the low quark-model scale to higher lattice scales, applying the method of Kivel and Mankiewicz. We evaluate several lowest-order generalized transversity form factors, accessible from the recent lattice QCD calculations. These form factors, after evolution, agree properly with the lattice data, in support of the fact that the spontaneously broken chiral symmetry is the key element also in the evaluation of the transversity observables.Comment: 17 pages, 17 figures, regular pape

Structural Insight into Archaic and Alternative Chaperone-Usher Pathways Reveals a Novel Mechanism of Pilus Biogenesis

AVZ is supported by the Finnish Academy (grants 140959 and 273075; http://sciencenordic.com/partner/academy-finland) and Sigrid Juselius Foundation (grant 2014; www.sigridjuselius.fi/foundation). SMis supported by the Wellcome Trust (Senior Investigator Award 100280, Programme grant 079819; http://www.wellcome.ac.uk) The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript

Nonforward Parton Distributions

Applications of perturbative QCD to deeply virtual Compton scattering and hard exclusive electroproduction processes require a generalization of usual parton distributions for the case when long-distance information is accumulated in nonforward matrix elements of quark and gluon light-cone operators. We describe two types of nonperturbative functions parametrizing such matrix elements: double distributions F(x,y;t) and nonforward distribution functions F_\zeta (X;t), discuss their spectral properties, evolution equations which they satisfy, basic uses and general aspects of factorization for hard exclusive processes.Comment: Final version, to be published in Phys.Rev.

A transverse current rectification in graphene superlattice

A model for energy spectrum of superlattice on the base of graphene placed on the striped dielectric substrate is proposed. A direct current component which appears in that structure perpendicularly to pulling electric field under the influence of elliptically polarized electromagnetic wave was derived. A transverse current density dependence on pulling field magnitude and on magnitude of component of elliptically polarized wave directed along the axis of a superlattice is analyzed.Comment: 12 pages, 6 figure

Feynman graph polynomials

The integrand of any multi-loop integral is characterised after Feynman parametrisation by two polynomials. In this review we summarise the properties of these polynomials. Topics covered in this article include among others: Spanning trees and spanning forests, the all-minors matrix-tree theorem, recursion relations due to contraction and deletion of edges, Dodgson's identity and matroids.Comment: 35 pages, references adde