Gauge Fields Condensation at Finite Temperature

The two-loop effective action for the SU(3) gauge model in a constant background field ${\bar A}_0(x,t)=B_0^3T_3+B_0^8T_8$ is recalculated for a gauge with an arbitrary $\xi$-parameter. The gauge-invariant thermodynamical potential is found and its extremum points are investigated. Within a two-loop order we find that the stable nontrivial vacuum is completely equivalent to the trivial one but when the high order corrections being taken into account the indifferent equilibrium seems to be broken. Briefly we also discuss the infrared peculiarities and their status for the gauge models with a nonzero condensate.Comment: 6pages, LATEX, Preprint FIAN/TD/06-92(May 1992

The pressure of deconfined QCD for all temperatures and quark chemical potentials

We present a new method for the evaluation of the perturbative expansion of the QCD pressure which is valid at all values of the temperature and quark chemical potentials in the deconfined phase and which we work out up to and including order g^4 accuracy. Our calculation is manifestly four-dimensional and purely diagrammatic -- and thus independent of any effective theory descriptions of high temperature or high density QCD. In various limits, we recover the known results of dimensional reduction and the HDL and HTL resummation schemes, as well as the equation of state of zero-temperature quark matter, thereby verifying their respective validity. To demonstrate the overlap of the various regimes, we furthermore show how the predictions of dimensional reduction and HDL resummed perturbation theory agree in the regime T~\sqrt{g}*mu. At parametrically smaller temperatures T~g*mu, we find that the dimensional reduction result agrees well with those of the nonstatic resummations down to the remarkably low value T~0.2 m_D, where m_D is the Debye mass at T=0. Beyond this, we see that only the latter methods connect smoothly to the T=0 result of Freedman and McLerran, to which the leading small-T corrections are given by the so-called non-Fermi-liquid terms, first obtained through HDL resummations. Finally, we outline the extension of our method to the next order, where it would include terms for the low-temperature entropy and specific heats that are unknown at present.Comment: 45 pages, 21 figures; v2: minor corrections and clarifications, references added; v3: Fig 16 added, version accepted for publication in PR

SU(2)-Effective Action Wiht the Nonanalytic Term

The nonanalytic $g^3$-term is calculated for SU(2)-effective action at finite temperature and the status of a gauge fields condensation is briefly discussed.Comment: 5pages, LATEX, Preprint FIAN/TD/20-92(December,1992

The Spectral Density Method Applied to the Hot Quantum Field Theories

The spectral density method being applied to the quantum field theory at finite temperature is revived and its possibilities are briefly discussed.Comment: 6 pages, LaTeX, Yukawa Institute Preprint YITP/K-1075 (June 1994

Perturbations of the spherically symmetric collapsar in the relativistic theory of gravitation: axial perturbations. I

Horizon solutions for the axial perturbations of the spherically symmetric metric are analyzed in the framework of the relativistic theory of gravitation. The gravitational perturbations can not be absorbed by the horizon that results in the excitation of the new type of the normal modes trapped by the Regge-Wheeler potential. The obtained results demonstrate testable differences between the collapsar and the black hole near-horizon physics.Comment: 11 pages, 1 colour figure, supplemented version, Maple 9 worksheet: http://ares.photonik.tuwien.ac.at/BHperturbations.htm

Static spherically symmetric collapsar in the relativistic theory of gravitation: numerical approach and stability analysis

Numerical investigation of the static spherically symmetric vacuum solution of the Logunov equations confirms the analytical results and demonstrates a strong repulsion at sub-Planckian distance from the Schwarzschild-like singularity, which is stable against the small perturbations. We suppose that the final stage of the stellar collapse in the relativistic theory of gravitation can entail the gravitational bursts with the gravitons overproduction due to the strong deceleration in the vicinity of the Schwarzschild sphere. The rigorous investigation of this topic requires a quantum-field consideration.Comment: 9 pages, 3 figures, tcilatex inpu

Constraints on the Cosmological Parameters in the Relativistic Theory of Gravitation

The causality principle imposes the constraints on the cosmological parameters in the relativistic theory of gravitation. As a result, X-matter causes the quite definite cosmological scenario with the alternate acceleration and deceleration and the final recollapseComment: 6 pages, 2 figures, LaTeX2e, commented Maple 6 worksheet is accessible on http://www.geocities.com/optomaple

THE HIGH TEMPERATURE DISPERSION EQUATION FOR LONGITUDINAL PLASMA OSCILLATIONS IN TAG

The calculations in the temporal axial gauge (TAG) are revised and a new prescription is introduced to avoid the well-known TAG-singularity. With this prescription we use the TAG-formalism to calculate the one-loop dispersion equation for the longitudinal plasma oscillations in the high temperature limit and find the complete selfconsistency of TAG for pragmatic aims. Our result reproduces the earlier known dispersion equation obtained in covariant gauges and this equality explicitly demonstrates the gauge independence of the dispersion law in the high temperature limit and its reliability.Comment: 9 pages, LaTex, No figure

Chirped Dissipative Solitons

The analytical theory of chirped dissipative soliton solutions of nonlinear complex Ginzburg-Landau equation is exposed. Obtained approximate solutions are easily traceable within an extremely broad range of the equation parameters and allow a clear physical interpretation as a representation of the strongly chirped pulses in mode-locked both solid-state and fiber oscillators. Scaling properties of such pulses demonstrate a feasibility of sub-mJ pulse generation in the continuous-wave mode-locking regime directly from an oscillator operating at the MHz repetition rate.Comment: 10 pages, 5 figures, XVI Annual Seminar on Nonlinear Phenomena in Complex Systems (May 19-22, 2009, Minsk, Belarus

Quintessential Cosmological Scenarios in the Relativistic Theory of Gravitation

It is shown that the accelerated expansion of the universe in the framework of the relativistic theory of gravitation can be achieved by the introduction of the quintessential term in the energy-momentum tensor. The value of the minimum scaling factor and the modern observational data for the density and state parameters of the matter give the rough estimations for the maximum graviton mass and the maximum scaling factor. The former can be very low in the case of the primordial inflation and the latter can be extremely large for the scalar field model of the quintessence. In any case, the massive graviton stops the second inflation and provide the closed cosmological scenario in the agreement with the causality principle inherent to the theory.Comment: LaTeX2e, 19 pages, Proc. XXV Int. Workshop on Fundamental Problems of High Energy Physics and Field Theory (25-28 June 2002, Protvino, Russia