arXiv subjects

A. V. Nazarenko

Publications and source records attributed to A. V. Nazarenko.

23 records · Page 2Linked to original sources

arXiv2013

Two-parametric hyperbolic octagons and reduced Teichmueller space in genus two

It is explored a model of compact Riemann surfaces in genus two, represented geometrically by two-parametric hyperbolic octagons with an order four automorphism. We compute the generators of associated isometry group and give a real-analytic description of corresponding Teichmüller space, parametrized by the Fenchel-Nielsen variables, in terms of geometric data. We state the structure of parameter space by computing the Weil-Petersson symplectic two-form and analyzing the isoperimetric orbits. The results of the paper may be interesting due to their applications to the quantum geometry, chaotic systems and low-dimensional gravity.

math-ph↗

arXiv2011

Directed Random Walk on the Lattices of Genus Two

The object of the present investigation is an ensemble of self-avoiding and directed graphs belonging to eight-branching Cayley tree (Bethe lattice) generated by the Fucsian group of a Riemann surface of genus two and embedded in the Pincaré unit disk. We consider two-parametric lattices and calculate the multifractal scaling exponents for the moments of the graph lengths distribution as functions of these parameters. We show the results of numerical and statistical computations, where the latter are based on a random walk model.

math-ph↗

arXiv2010

Glasma Evolution in Partonic Medium

We examine a scenario of the abelianized Glasma evolution with accounting for back-reaction of partonic medium in ultrarelativistic heavy-ion collisions. We announce that such a generalization leads to the instabilities and the presence of negative color conductivity in the system.

hep-ph↗

arXiv2008

Probability of Creation of Extra Dimensions in Nuclear Collisions

The minisuperspace model in $3+d$ spatial dimensions with the matter, described by the bag model, is considered with the aim to estimate the probability of creation of the compactified extra dimensions in nuclear collisions. The amplitude of transition from 3- to $3+d$-dimensional space has been calculated both in the case of completely confined matter, when contribution of radiation is ignored, and in the case of radiation domination, when the bag constant is negligible. It turns out that the number of additional dimensions is limited in the first regime, while this is infinite in the second one. It is shown that the probability of creation of extra dimensions is finite in the both regimes.

hep-ph↗

arXiv2006

Liquid-like phases of π^+π^- matter

To give a common theoretical description of liquid phases of the charged pion matter in a wide temperature interval, the relativistic quantum $ϕ^6$ type model is considered. The liquid states of pion condensate and hot pion matter are investigated.

nucl-th↗