Hamiltonian structures of fermionic two-dimensional Toda lattice hierarchies

By exhibiting the corresponding Lax pair representations we propose a wide class of integrable two-dimensional (2D) fermionic Toda lattice (TL) hierarchies which includes the 2D N=(2|2) and N=(0|2) supersymmetric TL hierarchies as particular cases. We develop the generalized graded R-matrix formalism using the generalized graded bracket on the space of graded operators with involution generalizing the graded commutator in superalgebras, which allows one to describe these hierarchies in the framework of the Hamiltonian formalism and construct their first two Hamiltonian structures. The first Hamiltonian structure is obtained for both bosonic and fermionic Lax operators while the second Hamiltonian structure is established for bosonic Lax operators only.Comment: 12 pages, LaTeX, the talks delivered at the International Workshop on Classical and Quantum Integrable Systems (Dubna, January 24 - 28, 2005) and International Conference on Theoretical Physics (Moscow, April 11 - 16, 2005

Physical phase space of lattice Yang-Mills theory and the moduli space of flat connections on a Riemann surface

It is shown that the physical phase space of \g-deformed Hamiltonian lattice Yang-Mills theory, which was recently proposed in refs.[1,2], coincides as a Poisson manifold with the moduli space of flat connections on a Riemann surface with $(L-V+1)$ handles and therefore with the physical phase space of the corresponding $(2+1)$-dimensional Chern-Simons model, where $L$ and $V$ are correspondingly a total number of links and vertices of the lattice. The deformation parameter \g is identified with $\frac {2\pi}{k}$ and $k$ is an integer entering the Chern-Simons action.Comment: 12 pages, latex, no figure

osp(1∣2)osp(1|2) off-shell Bethe ansatz equation with boundary terms

This work is concerned with the quasi-classical limit of the boundary quantum inverse scattering method for the $osp(1|2)$ vertex model with diagonal $K$-matrices. In this limit Gaudin's Hamiltonians with boundary terms are presented and diagonalized. Moreover, integral representations for correlation functions are realized to be solutions of the trigonometric Knizhnik-Zamoldchikov equations.Comment: 38 pages, minor revison, LaTe

A study of the gauge invariant, nonlocal mass operator Tr∫d4xFμν(D2)−1FμνTr \int d^4x F_{\mu\nu}(D^2)^{-1} F_{\mu\nu} in Yang-Mills theories

The nonlocal mass operator $Tr \int d^4x F_{\mu\nu} (D^2)^{-1} F_{\mu\nu}$ is considered in Yang-Mills theories in Euclidean space-time. It is shown that the operator $Tr \int d^4x F_{\mu\nu} (D^2)^{-1} F_{\mu\nu}$ can be cast in local form through the introduction of a set of additional fields. A local and polynomial action is thus identified. Its multiplicative renormalizability is proven by means of the algebraic renormalization in the class of linear covariant gauges. The anomalous dimensions of the fields and of the mass operator are computed at one loop order. A few remarks on the possible role of this operator for the issue of the gauge invariance of the dimension two condensates are outlined.Comment: 34 page

Modeling heat transfer processes in heating systems for surface of highways

В настоящее время обледенение дорожного покрытия оказывает существенное влияние на безопасность движения. Для уменьшения этого негативного воздействия зимой используются фрикционные, химические, физико-химические и комбинированные методы борьбы. Наиболее перспективных способов борьбы с обледенением является использование гидравлической системы таяния снега. Это связано с возможностью прокладки под дорожным покрытием не только индивидуальных систем снеготаяния, но и городских тепловых коммуникаций на участках дорог, подверженных частому обледенению. В связи с этим актуальным является моделирование процессов теплообмена в системах обогрева дорожных покрытий. Разработанная имитационная модель гидросистемы обогрева поверхности автомобильных дорог будет широко использоваться при реконструкции дорожного покрытия, а также для оптимизации систем прокладки тепловых сетей

Landscape science: a Russian geographical tradition

The Russian geographical tradition of landscape science (landshaftovedenie) is analyzed with particular reference to its initiator, Lev Semenovich Berg (1876-1950). The differences between prevailing Russian and Western concepts of landscape in geography are discussed, and their common origins in German geographical thought in the late nineteenth and early twentieth centuries are delineated. It is argued that the principal differences are accounted for by a number of factors, of which Russia's own distinctive tradition in environmental science deriving from the work of V. V. Dokuchaev (1846-1903), the activities of certain key individuals (such as Berg and C. O. Sauer), and the very different social and political circumstances in different parts of the world appear to be the most significant. At the same time it is noted that neither in Russia nor in the West have geographers succeeded in specifying an agreed and unproblematic understanding of landscape, or more broadly in promoting a common geographical conception of human-environment relationships. In light of such uncertainties, the latter part of the article argues for closer international links between the variant landscape traditions in geography as an important contribution to the quest for sustainability

Dynamical gluon mass generation from <A^2> in linear covariant gauges

We construct the multiplicatively renormalizable effective potential for the mass dimension two local composite operator A^2 in linear covariant gauges. We show that the formation of is energetically favoured and that the gluons acquire a dynamical mass due to this gluon condensate. We also discuss the gauge parameter independence of the resultant vacuum energy.Comment: 21 pages. 14 .eps figures. v2: minor modifications. v3: version accepted for publication in JHE

A Lattice Study of the Gluon Propagator in Momentum Space

We consider pure glue QCD at beta=5.7, beta=6.0 and beta=6.3. We evaluate the gluon propagator both in time at zero 3-momentum and in momentum space. From the former quantity we obtain evidence for a dynamically generated effective mass, which at beta=6.0 and beta=6.3 increases with the time separation of the sources, in agreement with earlier results. The momentum space propagator G(k) provides further evidence for mass generation. In particular, at beta=6.0, for k less than 1 GeV, the propagator G(k) can be fit to a continuum formula proposed by Gribov and others, which contains a mass scale b, presumably related to the hadronization mass scale. For higher momenta Gribov's model no longer provides a good fit, as G(k) tends rather to follow an inverse power law. The results at beta=6.3 are consistent with those at beta=6.0, but only the high momentum region is accessible on this lattice. We find b in the range of three to four hundred MeV and the exponent of the inverse power law about 2.7. On the other hand, at beta=5.7 (where we can only study momenta up to 1 GeV) G(k) is best fit to a simple massive boson propagator with mass m. We argue that such a discrepancy may be related to a lack of scaling for low momenta at beta=5.7. {}From our results, the study of correlation functions in momentum space looks promising, especially because the data points in Fourier space turn out to be much less correlated than in real space.Comment: 19 pages + 12 uuencoded PostScript picture

Landau gauge within the Gribov horizon

We consider a model which effectively restricts the functional integral of Yang--Mills theories to the fundamental modular region. Using algebraic arguments, we prove that this theory has the same divergences as ordinary Yang Mills theory in the Landau gauge and that it is unitary. The restriction of the functional integral is interpreted as a kind of spontaneous breakdown of the $BRS$ symmetry.Comment: 17 pages, NYU-TH-93/10/0

Клинико-лабораторные особенности острых респираторных вирусных инфекций у госпитализированных детей

The aim of the study was to study the clinical and laboratory features of acute respiratory viral infections in hospitalized children.The analysis of medical records of 623 patients admitted to the clinic, aged from 1 month to 16 years 11 months 29 days, was carried out. All patients were diagnosed with ARVI on the basis of clinical symptoms with laboratory confirmation in the study of naso- or oropharyngeal smears by PCR.Three groups of children were identified: with respiratory syncytial (RSV) — 384 children (61,6%), metapneumovirus — 142 (22,8%) and bocavirus — 97 (15,6%) infections. It has been established that in the general structure of acute respiratory viral infections in hospitalized children, RSV and rhinovirus are the leading pathogens — 28,8—48,6% and 22,1—41,3%, respectively, depending on the calendar year. The main clinical form was acute bronchitis in 80,5% of cases of confirmed infection, with RS-viral etiology in 79,5% (n = 287) of cases, with metapneumo- and bocavirus infections in 85,6% (n = 95) and 77,8% (n = 56) of children, respectively. Bronchiolitis was characteristic of RSV infection in 10,5% of cases (n = 38). From 10 to 19,4% of cases, the course of these viral infections was complicated by the development of pneumonia.Цель исследования: изучить клинические и лабораторные особенности острых респираторных вирусных инфекций у госпитализированных детей.Материалы и методы. Проведен анализ медицинской документации 623 пациентов, госпитализированных в клинику, в возрасте от 1 месяца до 16 лет 11 месяцев 29 дней. У всех пациентов установлен диагноз ОРВИ на основании клинических симптомов с лабораторным подтверждением при исследовании назо- или орофарингеальных мазков методом ПЦР.Результаты. Выделено 3 группы детей: с респираторно-синцитиальной (РСВ) 384 ребенка (61,6%), метапневмовирусной – 142 (22,8%) и бокавирусной — 97 (15,6) инфекциями. Установлено, что в общей структуре ОРВИ у госпитализированных детей РСВ и риновирус являются ведущими патогенами — 28,8—48,6% и 22,1—41,3% соответственно, в зависимости от календарного года. Основной клинической формой являлся острый бронхит в 80,5% случаев подтвержденной инфекции, при этом РС-вирусной этиологии — в 79,5% (n = 287) случаев, при метапневмо- и бокавирусной инфекциях — в 85,6% (n = 95) и 77,8% (n = 56) соответственно. Бронхиолит характерен был для РСВ инфекции в 10,5% случаев (n = 38). От 10 до 19,4% случаев течение данных вирусных инфекций осложнялось развитием пневмонии