89 research outputs found
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
ΠΠ»Π³ΠΎΡΠΈΡΠΌ ΠΎΠ±ΡΠ°Π±ΠΎΡΠΊΠΈ ΡΠ°Π΄ΠΈΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ ΡΠΈΡΡΠΎΠ²ΡΡ ΠΈΠ·ΠΎΠ±ΡΠ°ΠΆΠ΅Π½ΠΈΠΉ ΡΠ²Π°ΡΠ½ΡΡ ΡΠΎΠ΅Π΄ΠΈΠ½Π΅Π½ΠΈΠΉ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Π½Π΅ΠΉΡΠΎΡΠ΅ΡΠ΅Π²ΠΎΠ³ΠΎ ΠΏΠΎΠ΄Ρ ΠΎΠ΄Π°
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.
Π Π°Π·ΡΠ°Π±ΠΎΡΠΊΠ° ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½ΡΠ΅ΡΠ°Π»ΠΎΠ³ΡΠ°ΡΠ° Π½Π° Π½Π°Π½ΠΎΡΠ΅Π½ΡΠΎΡΠ°Ρ Π΄Π»Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΌΠΎΠ·Π³Π° ΡΠ΅Π»ΠΎΠ²Π΅ΠΊΠ° Π² ΡΠ°ΡΡΠΈΡΠ΅Π½Π½ΠΎΠΌ Π΄ΠΈΠ°ΠΏΠ°Π·ΠΎΠ½Π΅ ΡΠ°ΡΡΠΎΡ
Π Π²ΡΠΏΡΡΠΊΠ½ΠΎΠΉ ΠΊΠ²Π°Π»ΠΈΡΠΈΠΊΠ°ΡΠΈΠΎΠ½Π½ΠΎΠΉ ΡΠ°Π±ΠΎΡΠ΅ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½ Π°Π½Π°Π»ΠΈΠ· ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ² ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΌΠΎΠ·Π³Π° ΡΠ΅Π»ΠΎΠ²Π΅ΠΊΠ°. ΠΡΠ±ΡΠ°Π½Π° ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½ΡΠ΅ΡΠ°Π»ΠΎΠ³ΡΠ°ΡΠΈΡ Π² ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΠΎΡΠ½ΠΎΠ²Π½ΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π° ΡΠ΅Π³ΠΈΡΡΡΠ°ΡΠΈΠΈ Π±ΠΈΠΎΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΎΠΉ Π°ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ Ρ ΠΏΠΎΠΌΠΎΡΡΡ Π½Π°Π½ΠΎΡΠ΅Π½ΡΠΎΡΠΎΠ². Π Π°Π·ΡΠ°Π±ΠΎΡΠ°Π½ ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½ΡΠ΅ΡΠ°Π»ΠΎΠ³ΡΠ°Ρ Π΄Π»Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΌΠΎΠ·Π³Π° ΡΠ΅Π»ΠΎΠ²Π΅ΠΊΠ° Π² ΡΠ°ΡΡΠΈΡΠ΅Π½Π½ΠΎΠΌ Π΄ΠΈΠ°ΠΏΠ°Π·ΠΎΠ½Π΅ ΡΠ°ΡΡΠΎΡ (0-10000 ΠΡ), ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡΠΈΠΉ ΠΏΠΎΠ»ΡΡΠΈΡΡ Π΄ΠΎΠΏΠΎΠ»Π½ΠΈΡΠ΅Π»ΡΠ½ΡΡ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΡ ΠΎ ΡΠ΅Π³ΠΈΡΡΡΠΈΡΡΠ΅ΠΌΡΡ
Π±ΠΈΠΎΠΏΠΎΡΠ΅Π½ΡΠΈΠ°Π»Π°Ρ
ΠΈ ΡΠΈΡΠΌΠ°Ρ
ΠΠΠ. ΠΡΠΎΠ²Π΅Π΄Π΅Π½ΠΎ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ Π΄Π»Ρ ΠΎΡΠ΅Π½ΠΊΠΈ ΠΏΡΠΈΡ
ΠΎΡΠΌΠΎΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠΎΡΡΠΎΡΠ½ΠΈΡ ΡΠ΅Π»ΠΎΠ²Π΅ΠΊΠ° ΠΈ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ Π΄Π»Ρ ΠΏΠΎΠ΄ΡΠ²Π΅ΡΠΆΠ΄Π΅Π½ΠΈΡ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΠΈ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΡ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½ΡΠ΅ΡΠ°Π»ΠΎΠ³ΡΠ°ΡΠ° Π² ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΡΠ»Π΅ΠΊΡΡΠΎΠ½Π΅ΠΉΡΠΎΠΌΠΈΠΎΠ³ΡΠ°ΡΠ°.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
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