45 research outputs found
Non-Commutative Batalin-Vilkovisky Algebras, Homotopy Lie Algebras and the Courant Bracket
We consider two different constructions of higher brackets. First, based on a
Grassmann-odd, nilpotent \Delta operator, we define a non-commutative
generalization of the higher Koszul brackets, which are used in a generalized
Batalin-Vilkovisky algebra, and we show that they form a homotopy Lie algebra.
Secondly, we investigate higher, so-called derived brackets built from
symmetrized, nested Lie brackets with a fixed nilpotent Lie algebra element Q.
We find the most general Jacobi-like identity that such a hierarchy satisfies.
The numerical coefficients in front of each term in these generalized Jacobi
identities are related to the Bernoulli numbers. We suggest that the definition
of a homotopy Lie algebra should be enlarged to accommodate this important
case. Finally, we consider the Courant bracket as an example of a derived
bracket. We extend it to the "big bracket" of exterior forms and multi-vectors,
and give closed formulas for the higher Courant brackets.Comment: 42 pages, LaTeX. v2: Added remarks in Section 5. v3: Added further
explanation. v4: Minor adjustments. v5: Section 5 completely rewritten to
include covariant construction. v6: Minor adjustments. v7: Added references
and explanation to Section
КЛАССИФИКАЦИЯ НАРУШЕНИЙ ФУНКЦИОНАЛЬНОЙ АКТИВНОСТИ МОЗГА У БОЛЬНЫХ С ОПУХОЛЯМИ ГОЛОВНОГО МОЗГА
This paper is devoted to the automatic classification of functional disorders of brain activity in patients with brain tumors on the basis of the reference groups. The test of statistical hypotheses set made crisp classification. Functional activity of the brain abnormality is assessed indicators of the frequency spectrum of the EEG. We describe the scheme of the algorithm and an analysis of the results. The publication is intended for IT-professionals and clinicians who are actively applying them in their work. Статья посвящена автоматической классификации нарушений функциональной активности мозга у больных с опухолями головного мозга на основе эталонных групп. Проверкой статистических гипотез устанавливается четкость выполненной классификации. Функциональную активность мозга оценивают посредством индикаторов аномальностей частотного спектра электроэнцефалограммы. Описана схема алгоритма, и представлен анализ получаемых результатов. Публикация рассчитана на специалистов по информационным технологиям и клиницистов, активно применяющих их в своей работе.
Research of sanitary, chemical and toxicological properties of silicone material «Silast-M» for removable dentures
Objective: to conduct sanitary, chemical and toxicological testing of the domestic cold-curing silicone material «Silast-M» for removable dentures. The object of the study included samples of silicone material «Silast-M» developed by CJSC «MEDSIL» in cooperation with the Department of Moscow State Medico-Stomatological University n.a. A. I. Evdokimov. Laboratory studies were carried out in the department of toxicology testing and researching materials and medical products VNIIIMT in accordance with the instructions on the sanitary, chemical and toxicological studies, developed and approved by the Ministry of Health of the Russian Federation. The results showed that all samples did not exceed the limit values. Conclusion. After successfully passed sanitary, chemical and toxicological studies clinical trials of the material have been started
Colloidal and Chemical Properties of Polyesters Based on Glutamic Acid and Diols of Different Nature
The paper describes synthesis method and colloid-chemical properties of novel α-amino acid based polyesters
with controllable hydrophilic-lipophillic balance. Glutamic acid and diols of different nature based
polyesters were obtained via low-temperature activated polyesterefication. Such polymers are able to form
micellar structures in self-stabilized water dispersion. Solubilization of water insoluble dyes Sudan and
toluene in polymer water solution was studied. Due to micelle forming ability and prognosticated biodegradability
to non-toxic products, obtained polymers are promising materials for formation of novel dispersed
drug delivery systems.
When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/3507
Schwinger-Dyson equation for non-Lagrangian field theory
A method is proposed of constructing quantum correlators for a general gauge
system whose classical equations of motion do not necessarily follow from the
least action principle. The idea of the method is in assigning a certain BRST
operator to any classical equations of motion, Lagrangian or not.
The generating functional of Green's functions is defined by the equation
that is reduced to the standard Schwinger-Dyson equation
whenever the classical field equations are Lagrangian. The corresponding
probability amplitude of a field is defined by the same equation
although in another representation. When the
classical dynamics are Lagrangian, the solution for is reduced to
the Feynman amplitude , while in the non-Lagrangian case
this amplitude can be a more general distribution.Comment: 33 page
General solution of classical master equation for reducible gauge theories
We give the general solution to the classical master equation (S,S)=0 for
reducible gauge theories. To this aim, we construct a new coordinate system in
the extended configuration space and transform the equation by changing
variables. Then it can be solved by an iterative method.Comment: 15 pages; v3: refs. added, section 4 substantially improved, a
section added; v4: reference and example adde
On Generalized Gauge-Fixing in the Field-Antifield Formalism
We consider the problem of covariant gauge-fixing in the most general setting
of the field-antifield formalism, where the action W and the gauge-fixing part
X enter symmetrically and both satisfy the Quantum Master Equation. Analogous
to the gauge-generating algebra of the action W, we analyze the possibility of
having a reducible gauge-fixing algebra of X. We treat a reducible gauge-fixing
algebra of the so-called first-stage in full detail and generalize to arbitrary
stages. The associated "square root" measure contributions are worked out from
first principles, with or without the presence of antisymplectic second-class
constraints. Finally, we consider an W-X alternating multi-level
generalization.Comment: 49 pages, LaTeX. v2: Minor changes + 1 more reference. v3,v4,v5:
Corrected typos. v5: Version published in Nuclear Physics B. v6,v7:
Correction to the published version added next to the Acknowledgemen
Gauge dependence of effective action and renormalization group functions in effective gauge theories
The Caswell-Wilczek analysis on the gauge dependence of the effective action
and the renormalization group functions in Yang-Mills theories is generalized
to generic, possibly power counting non renormalizable gauge theories. It is
shown that the physical coupling constants of the classical theory can be
redefined by gauge parameter dependent contributions of higher orders in
in such a way that the effective action depends trivially on the gauge
parameters, while suitably defined physical beta functions do not depend on
those parameters.Comment: 13 pages Latex file, additional comments in section
BFV-complex and higher homotopy structures
We present a connection between the BFV-complex (abbreviation for
Batalin-Fradkin-Vilkovisky complex) and the so-called strong homotopy Lie
algebroid associated to a coisotropic submanifold of a Poisson manifold. We
prove that the latter structure can be derived from the BFV-complex by means of
homotopy transfer along contractions. Consequently the BFV-complex and the
strong homotopy Lie algebroid structure are quasi-isomorphic and
control the same formal deformation problem.
However there is a gap between the non-formal information encoded in the
BFV-complex and in the strong homotopy Lie algebroid respectively. We prove
that there is a one-to-one correspondence between coisotropic submanifolds
given by graphs of sections and equivalence classes of normalized Maurer-Cartan
elemens of the BFV-complex. This does not hold if one uses the strong homotopy
Lie algebroid instead.Comment: 50 pages, 6 figures; version 4 is heavily revised and extende