On solving Schwinger-Dyson equations for non-Abelian gauge theory

A method for solving Schwinger-Dyson equations for the Green function generating functional of non-Abelian gauge theory is proposed. The method is based on an approximation of Schwinger-Dyson equations by exactly soluble equations. For the SU(2) model the first step equations of the iteration scheme are solved which define a gauge field propagator. Apart from the usual perturbative solution, a non-perturbative solution is found which corresponds to the spontaneous symmetry breaking and obeys infrared finite behaviour of the propagator.Comment: 12 pages, Plain LaTeX, no figures, extended and revised version published in Journal of Physics

Synchronization, Control and Stability of Fractional Order Hyperchaotic Systems in The Context of The Generalized Memory

In the article offered fractional kinetic model of networks with generalized memory. On the basis of fractional kinetic model network with hyperchaotic systems, embedded in a percolation structure, realized task topologically synchronization. While tracing control and stability. Criterion ndash ldquoproximityrdquo capture average return time Poincare. Shows a visualization of results

The effectiveness of physical activity in cardiorehabilitation

The review shows that the molecular mechanisms initiated by physical exertion underlie the multifactorial influence of the latter on the function of the cardiovascular system and the course of cardiac diseases. Exercise is an important component of the therapeutic treatment in patients with cardiovascular diseases, which is confirmed by the results of a meta­analysis that included 63 studies that were associated with various forms of aerobic exercise of different intensity (from 50 to 95 % VO2) for 1 to 47 months, which showed that exercise-based CR improves cardiovascular function. Knowledge of the molecular basis of the impact of physical activity makes it possible to use biochemical markers to assess the effectiveness of rehabilitation programs

Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons

We study scalar, pseudoscalar, vector, and axial-vector mesons with non-strange and strange quantum numbers in the framework of a linear sigma model with global chiral $U(N_f)_L \times U(N_f)_R$ symmetry. We perform a global fit of meson masses, decay widths, as well as decay amplitudes. The quality of the fit is, for a hadronic model that does not consider isospin-breaking effects, surprisingly good. We also investigate the question whether the scalar $\bar{q}q$ states lie below or above 1 GeV and find the scalar states above 1 GeV to be preferred as $\bar{q}q$ states. Additionally, we also describe the axial-vector resonances as $\bar{q}q$ states.Comment: 29 pages, 4 figures, 3 tables. v2 is the updated version after referee remarks (dilaton field discussed, a new figure added

Brownian oscillators driven by correlated noise in a moving trap

Brownian oscillator, i.e. a micron-sized or smaller particle trapped in a thermally fluctuating environment is studied. The confining harmonic potential can move with a constant velocity. As distinct from the standard Langevin theory, the chaotic force driving the particle is correlated in time. The dynamics of the particle is described by the generalized Langevin equation with the inertial term, a coloured noise force, and a memory integral. We consider two kinds of the memory in the system. The first one corresponds to the exponentially correlated noise in a weakly viscoelastic fluid and in the second case the memory naturally arises within the Navier-Stokes hydrodynamics. Exact analytical solutions are obtained in both the cases using a simple and effective method not applied so far in this kind of problems.Comment: Presented at the 17th International Conference Applied Physics of Condensed Matter (APCOM 2011), Novy Smokovec, High Tatras, Slovakia, June 22 - 24, 201

Hydrodynamic interactions and Brownian forces in colloidal suspensions: Coarse-graining over time and length-scales

We describe in detail how to implement a coarse-grained hybrid Molecular Dynamics and Stochastic Rotation Dynamics simulation technique that captures the combined effects of Brownian and hydrodynamic forces in colloidal suspensions. The importance of carefully tuning the simulation parameters to correctly resolve the multiple time and length-scales of this problem is emphasized. We systematically analyze how our coarse-graining scheme resolves dimensionless hydrodynamic numbers such as the Reynolds number, the Schmidt number, the Mach number, the Knudsen number, and the Peclet number. The many Brownian and hydrodynamic time-scales can be telescoped together to maximize computational efficiency while still correctly resolving the physically relevant physical processes. We also show how to control a number of numerical artifacts, such as finite size effects and solvent induced attractive depletion interactions. When all these considerations are properly taken into account, the measured colloidal velocity auto-correlation functions and related self diffusion and friction coefficients compare quantitatively with theoretical calculations. By contrast, these calculations demonstrate that, notwithstanding its seductive simplicity, the basic Langevin equation does a remarkably poor job of capturing the decay rate of the velocity auto-correlation function in the colloidal regime, strongly underestimating it at short times and strongly overestimating it at long times. Finally, we discuss in detail how to map the parameters of our method onto physical systems, and from this extract more general lessons that may be relevant for other coarse-graining schemes such as Lattice Boltzmann or Dissipative Particle Dynamics.Comment: 31 pages, 14 figure

Non-alcoholic fatty liver disease in patients with hypertension

To study the relationship of nonalcoholic fatty liver disease (NAFLD) in patients with hypertension (AH) with cardiometabolic risk factors (FR) of cardiovascular disease (CVD) and the effect of NAFLD on their development. 71 patients with stage I-III hypertension were randomly selected for this purpose. Two groups were identified - 37 patients with NAFLD and 34 patients without NAFLD, mainly elderly and senile age. The results of the study can be concluded. The presence of NAFLD in patients with hypertension in the elderly and senile age is not sufficient for patients to be considered as patients with a higher risk of cardiovascular disease. The main reason is the presence of metabolic syndrome and its components, which increase the risk of CVD in the study group, rather than NAFLD itself. Metabolic syndrome, in our opinion, is a common denominator, the Foundation for all risk factors. The level of transaminases in the group of patients with hypertension and NAFLD decreases with age, so it is inappropriate to use ALT as a NAFLD surrogate in elderly and senile patients. The level of transaminases in patients with steatosis and steatohepatitis is not associated with the risk of cardiovascular disease. With the combination of AH and NAFLD there is no connection of NAFLD with ischemic heart disease, AF, LVH and stroke. The presence of hypertension in a patient with NAFLD and without NAFLD, in our opinion, levels the impact of NAFLD on the risk of CVD, as the hypertension itself is a powerful risk factor for cardiovascular disease. There are no differences in the frequency of LVH and in the type of LV remodeling in patients with and without NAFLD.Изучить взаимосвязь неалкогольной жировой болезни печени (НАЖБП) у больных артериальной гипертензией (АГ) с кардиометаболическими факторами риска (ФР) сердечно-сосудистых заболеваний (ССЗ) и влияние НАЖБП на их развитие. для этого методом случайной выборки выбран 71 пациент с артериальной гипертензией I-III стадией (ВОЗ). Выделено две группы - 37 пациентов с НАЖБП и 34 пациента без НАЖБП преимущественно пожилого и старческого возраста. По результатам исследования можно сделать заключение. Наличие НАЖБП у больных с АГ пожилого и старческого возраста недостаточно для того, чтобы пациенты рассматривались как больные с более высоким риском сердечно-сосудистых заболеваний. основная причина - это наличие метаболического синдрома (МС) и его компонентов, которые повышают риск ССЗ в исследуемой группе, а не сама НАЖБП. Метаболический синдром, по нашему мнению, является общим знаменателем, фундаментом для всех факторов риска. Уровень трансаминаз в группе больных с АГ и НАЖБП с возрастом снижается, поэтому использовать АЛТ в качестве суррогата НАЖБП у больных пожилого и старческого возраста неуместно. Уровень трансаминаз у больных со стеатозом и стеатогепатитом не связан с риском сердечно-сосудистых заболеваний. При сочетании АГ и НАЖБП отсутствует связь НАЖБП с ИБС, ФП, ГЛЖ и перенесенным инсультом. Наличие АГ у пациента с НАЖБП и без НАЖБП, по нашему мнению, нивелирует влияние НАЖБП на риск ССЗ, так как сама АГ является мощным фактором риска сердечно-сосудистых заболеваний. По частоте ГЛЖ и по типу ремоделирования ЛЖ различия у больных с НАЖБП и без НАЖБП отсутствуют

Analysis of risk factors, conducted therapy and dynamics of morbidity of hemorrhagic and ischemic insult

Based on the analysis of the data of the official protocol on the number of hemorrhagic and ischemic insults in the neurological department of the city clinical hospital number 2 of Perm for 2017 and 2018, a study was conducted of the main risk factors for insult and the correlation between insults and the resulting therapy.На основании анализа данных официального протокола по количеству геморрагических и ишемических инсультов в неврологическом отделении ГКБ № 2 г. Перми за 2017 и 2018 годы, проведено исследование основных факторов риска инсультов и взаимосвязь инсультов и получаемой терапии

Chromomagnetic Catalysis of Color Superconductivity in a (2+1)-dimensional NJL Model

The influence of a constant uniform external chromomagnetic field $H$ on the formation of color superconductivity has been investigated. The consideration was performed in the framework of a (2+1)-dimensional Nambu--Jona-Lasinio model with two different four-fermionic structures responsible for $$and diquark$$ condensates. In particular, it was shown that there exists a critical value $H_c$ of the external chromomagnetic field such that at $H>H_c$ a nonvanishing diquark condensate is dynamically created (the so-called chromomagnetic catalysis effect of color superconductivity). Moreover, external chromomagnetic fields may in some cases enhance the diquark condensate of color superconductivity.Comment: 32 pages, 2 figures, revte

Molecular velocity auto-correlation of simple liquids observed by NMR MGSE method

The velocity auto-correlation spectra of simple liquids obtained by the NMR method of modulated gradient spin echo show features in the low frequency range up to a few kHz, which can be explained reasonably well by a $t^{-3/2}$ long time tail decay only for non-polar liquid toluene, while the spectra of polar liquids, such as ethanol, water and glycerol, are more congruent with the model of diffusion of particles temporarily trapped in potential wells created by their neighbors. As the method provides the spectrum averaged over ensemble of particle trajectories, the initial non-exponential decay of spin echoes is attributed to a spatial heterogeneity of molecular motion in a bulk of liquid, reflected in distribution of the echo decays for short trajectories. While at longer time intervals, and thus with longer trajectories, heterogeneity is averaged out, giving rise to a spectrum which is explained as a combination of molecular self-diffusion and eddy diffusion within the vortexes of hydrodynamic fluctuations.Comment: 8 pages, 6 figur