Antonov, N. V. Gulitskiy, N. M. Kostenko, M. M. Lučivjanský, T.
Published in
Theoretical and Mathematical Physics

Using a quantum field theory renormalization group, we consider models of advection of a vector field and a tracer field by a compressible turbulent flow. Both advected fields are considered passive, i.e., they do not have a backward influence on the fluid dynamics. The velocity field is generated by the stochastic Navier-Stokes equation. We consid...

Aref’eva, I. Ya.
Published in
Theoretical and Mathematical Physics

We briefly review recent applications of holographic renormalization group flow equations in a hot and dense quark-gluon plasma (QGP). We especially focus on presenting a few examples typically used in the holographic description of the QGP. We study the influence of the chemical potential on the holographic β-function in these examples.

Andronov, E. V. Kovalenko, V. N.
Published in
Theoretical and Mathematical Physics

We calculate the strongly intensive variables Σ and Δ that suppress trivial volume fluctuations and are constructed for the charged particle multiplicity n and the total transverse momentum Pt in a modified multipomeron exchange approach for proton-proton interactions in the range of collision energies attainable with the SPS and LHC accelerators. ...

Amari, Y. Iida, M. Sawado, N.
Published in
Theoretical and Mathematical Physics

The Skyrme-Faddeev model has planar soliton solutions with the target space ℂPN. An Abelian Chern-Simons term (the Hopf term) in the Lagrangian of the model plays a crucial role for the statistical properties of the solutions. Because П3(ℂP1) = ℤ, the term becomes an integer for N = 1. On the other hand, for N > 1, it becomes perturbative because П...

Honkonen, J. Komarova, M. V. Molotkov, Yu. G. Nalimov, M. Yu.
Published in
Theoretical and Mathematical Physics

We construct a quantum kinetic theory of a weakly interacting critical boson gas using the expectation values of products of Heisenberg field operators in the grand canonical ensemble. Using a functional representation for the Wick theorem for time-ordered products, we construct a perturbation theory for the generating functional of these time-depe...

Katanaeva, A. D. Afonin, S. S.
Published in
Theoretical and Mathematical Physics

We study various methods for estimating the deconfinement temperature in nondynamical bottom-up AdS/QCD models in detail. We show that although there are many different possibilities to define the holographic parameters, certain reasonable theoretical and phenomenological restrictions on holographic models lead to realistic and rather stable predic...

Birnšteinová, Š. Hnatič, M. Lučivjanský, T. Mižišin, L. Škultéty, V.
Published in
Theoretical and Mathematical Physics

We study an instructive model of the directed percolation process near its second-order phase transition between absorbing and active states. We first express the model as a Langevin equation and then rewrite it in a field theory formulation. Using the Feynman diagram technique and the perturbative renormalization group method, we then analyze the ...

Wegner, F. J. Pismak, Yu. M.
Published in
Theoretical and Mathematical Physics

Pismak and Shukhobodskaia recently proposed a model of a Dirac particle interacting with a material plane. Depending on the interaction constants, the Dirac particle can have bound states moving parallel to the plane and decaying exponentially perpendicular to the plane. Moreover, the waves on the two sides of the plane can move with different velo...

Jurčišinová, E. Jurčišin, M. Remecký, M.
Published in
Theoretical and Mathematical Physics

Using the field theory renormalization group technique in the framework of the so-called double-expansion scheme, which takes additional divergences that appear in two dimensions into account, we calculate the turbulent Prandtl number in two spatial dimensions in the two-loop approximation in the model of a passive scalar field advected by the turb...

Grib, A. A. Pavlov, Yu. V.
Published in
Theoretical and Mathematical Physics

We show that effects similar to those for a rotating black hole arise for an observer using a uniformly rotating reference frame in a flat space-time: a surface appears such that no body can be stationary beyond this surface, while the particle energy can be either zero or negative. Beyond this surface, which is similar to the static limit for a ro...