Hamiltonian approach to Yang-Mills theory in Coulomb gauge

Recent results obtained within the Hamiltonian approach to continuum Yang-Mills theory in Coulomb gauge are reviewed.Comment: 7 pages, 2 figures, to appear in the ``Quark Confinement and the hadron spectrum VII'' (Portugal 2006) conference proceeding

Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge

The infrared behaviour of gluon and ghost propagators, ghost-gluon vertex and three-gluon vertex is investigated for both the covariant Landau and the non-covariant Coulomb gauge. Assuming infrared ghost dominance, we find a unique infrared exponent in the d=4 Landau gauge, while in the d=3+1 Coulomb gauge we find two different infrared exponents. We also show that a finite dressing of the ghost-gluon vertex has no influence on the infrared exponents. Finally, we determine the infrared behaviour of the three-gluon vertex analytically and calculate it numerically at the symmetric point in the Coulomb gauge.Comment: 25 pages, 6 figures, accepted by Phys. Rev. D, references added, typos correcte

Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge

The Dyson-Schwinger equations arising from minimizing the vacuum energy density in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge are solved numerically. A new solution is presented which gives rise to a strictly linearly rising static quark potential and whose existence was previously observed in the infrared analysis of the Dyson-Schwinger equations. For the new solution we also present the static quark potential and calculate the running coupling constant from the ghost-gluon vertex.Comment: 9 pages, 3 figures, references added

Алгоритм обработки радиографических цифровых изображений сварных соединений на основе нейросетевого подхода

This paper details an integrated product process design model that represents process capabilities by a set of key indicators and allows for the design of products taking into account constraints set out by the process. The model is applied to Incremental sheet forming (ISF) processes and their variants. ISF processes have been developed over the past 20 years and have reached a state of development now allowing for a transition from scientific research to broader industrial application. ISF with its low part specific tooling represents a technology suitable for individualized production down to one-piece-flow. Hence, it might satisfy the growing demand for individualized products in the field of sheet metal production. However, an industrial use of ISF requires that general design rules are provided to designers to enable designs that are compatible with the capabilities of ISF. Today's product design typically is more suitable for stamping operations than for ISF whic h makes the fabrication of parts by ISF difficult and increases lead time and costs. Also, different variations of ISF processes exist that are based on different machines (industrial robots, CNC machines,...) and are characterized by different capabilities, e.g. in terms of accuracy. The objective of this work is the development of an integrated product process design model and its application to ISF. The capabilities of currently available ISF processes are determined and compared to the requirements of selected products from the automotive and aerospace industry

Equal-time two-point correlation functions in Coulomb gauge Yang-Mills theory

We apply a functional perturbative approach to the calculation of the equal-time two-point correlation functions and the potential between static color charges to one-loop order in Coulomb gauge Yang-Mills theory. The functional approach proceeds through a solution of the Schroedinger equation for the vacuum wave functional to order g^2 and derives the equal-time correlation functions from a functional integral representation via new diagrammatic rules. We show that the results coincide with those obtained from the usual Lagrangian functional integral approach, extract the beta function, and determine the anomalous dimensions of the equal-time gluon and ghost two-point functions and the static potential under the assumption of multiplicative renormalizability to all orders.Comment: 33 pages, 7 figures with Feyman diagrams generated with pstricks; revised version with additional references and comments on possible applications added in the conclusions; accepted for publication in Nucl. Phys.

Разработка электроэнцефалографа на наносенсорах для исследования мозга человека в расширенном диапазоне частот

В выпускной квалификационной работе проведен анализ методов исследования мозга человека. Выбрана электроэнцефалография в качестве основного метода регистрации биоэлектрической активности с помощью наносенсоров. Разработан электроэнцефалограф для исследования мозга человека в расширенном диапазоне частот (0-10000 Гц), позволяющий получить дополнительную информацию о регистрируемых биопотенциалах и ритмах ЭЭГ. Проведено исследование для оценки психоэмоционального состояния человека и исследование для подтверждения возможности использования разработанного электроэнцефалографа в качестве электронейромиографа.IIn the final qualifying work, an analysis of methods of studying the human brain was carried out. Electroencephalography was chosen as the main method for recording bioelectrical activity with nanosensors. The developer is an electroencephalograph for studying the human brain in the extended frequency range (0-10000 Hz), which allows obtaining additional information on the detected bioelectric potentials and EEG rhythms. A study was conducted to assess the psychoemotional state of a person and study to confirm the possibility of using the developed electroencephalograph as an electroneuromiograph