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Konstantin G. Zloshchastiev

Publications and source records attributed to Konstantin G. Zloshchastiev.

At least 55 records · Page 3Linked to original sources
arXiv2006

Why do we live in a 4D world: Can cosmology, black holes and branes give an answer?

We derive the general form of the cosmological scalar field potential which is compatible both with the existence of black holes and p-branes related to string/M theory and with multidimensional inflationary cosmology. It is shown that the scalar potential alters non-trivially from dimension to dimension yet always obeys one single equation where the number of spacetime dimensions is a free parameter. Using this equation we formulate an eigenvalue problem for the dimensionality parameter. It turns out that in the low-energy regime of sub-Planckian values of the inflaton field, i.e., when the Universe has cooled and expanded sufficiently enough, the value four arises as the largest admissible (eigen)value of this parameter.

hep-th↗
arXiv2006

Generic approach to dimensional reduction and selection principle for low-energy limit of M theory

We propose the approach to deriving lower-dimensional limit of modern high-energy theory which does not make explicit use of the Kaluza-Klein scheme and predefined compactification manifolds. The approach is based on the selection principle in which a crucial role is played by p-brane solutions and their preservation, in a certain sense, under dimensional reduction. Then we engage a previously developed method of reconstruction of a theory from a given solution which eventually leads to some model acting in the space of field couplings. Thus, our approach focuses on those general features of effective 4D theories which are independent of how the decomposition of spacetime dimensions into ``observable'' and ``unobservable'' ones could be done. As an example, we exactly derive the simplified abelian sector of the effective low-energy M-theory together with its fundamental 0-brane solution describing the family of charged black holes with scalar hair in asymptotically flat, de Sitter or anti-de Sitter spacetime.

hep-th↗
arXiv2005

Coexistence of black holes and a long-range scalar field in cosmology

The exactly solvable scalar hairy black hole model (originated from the modern high-energy theory) is proposed. It turns out that the existence of black holes (BH) is strongly correlated to global scalar field, in a sense that they mutually impose bounds upon their physical parameters like the BH mass (lower bound) or the cosmological constant (upper bound). We consider the same model also as a cosmological one and show that it agrees with recent experimental data; additionally, it provides a unified quintessence-like description of dark energy and dark matter.

hep-th↗
arXiv2005

The coplanarity of planetary orbits places bounds on dynamical aether

OBITUARY The Article and we have been friends for more than half a year. With it, we shared many experiences, both in planetary dynamics and field theory. This research is something I shall always remember with a smile on my face, and a pain in my heart. Today is a day of sadness and mourning for the loss of our ill-born Article. After more thorough medical examination we came to the conclusion that the precession of planetary orbits cannot be used to bound anything except human fantasy. Yet it can also be viewed as a day of celebration! Why? Because without it, we would never have been touched by the shared experiences on physics's eventful journey. Whilst it will now forever be absent in Arxive, it will be with us always in spirit. As it might have said, "I have a long journey to take, and must bid the company farewell" (Sir Walter Raleigh). I say three things: Gone? - Yes! Forgotten? - Never! Remembered? - Always! by K.G.Z.

gr-qc↗
arXiv2002

Core structure and exactly solvable models in dilaton gravity coupled to Maxwell and antisymmetric tensor fields

We consider the D-dimensional massive dilaton gravity coupled to Maxwell and antisymmetric tensor fields (EMATD). We derive the full separability of this theory in static case. This discloses the core structure of the theory and yields the simple procedure of how to generate integrability classes. As an example we take a certain new class, obtain the two-parametric families of dyonic solutions. It turns out that at some conditions they tend to the D-dimensional dyonic Reissner-Nordström-deSitter solutions but with ``renormalized'' dyonic charge plus a small logarithmic correction. The latter has the significant influence on the global structure of the non-perturbed solution - it may shift and split horizons, break down extremality, and dress the naked singularity. We speculate on physical importance of the deduced integrability classes, in particular on their possible role in understanding of the problem of unknown dilaton potential in modern cosmological and low-energy string models.

hep-th↗
arXiv2001

Holographic principle and field-to-particle transition formalism in sigma model, dilaton gravity and supergravity: Point particle as end product of field theory and seed of string-brane approach

The paper consists of two parts which seem to be independent of each other but at first glance only. In the Part one the field-to-particle transition formalism is applied to the sigma model (string), dilaton gravity and gauged supergravity 0-brane solutions. In addition to the fact that the field-to-particle transition is of interest itself it can be regarded also as the dynamical dimensional reduction which takes into account field fluctuations as well as one can treat it as the method of the consistent quantization in the vicinity of the nontrivial vacuum induced by a field solution. It is shown that in all the cases the end product of the approach is the so-called "non-minimal point particle". In view of this it is conjectured that point particles are not only the end product but also the underlying base of modern high-energy theory even more fundamental than the strings. The Part two is hence devoted to the formal axiomatics of the string-brane approach - there we deepen the above-mentioned conjecture. It turns out that a point particle can be regarded as an extended object from the viewpoint of a macroscopic measurement. The particle is actually observed as the ``cloud'' consisting of the virtual paths and nothing prevents their deviations from the classical trajectory. Therefore, for an observer the real particle can be no more viewed as a point object. However, it cannot be supposed also as a continuous extended object unless we average over all the deviations. Then we obtain the metabrane, which is the composite extended object consisting of the microscopical objects (strings) and cosmological-size ones (3-brane) where the size of a corresponding embedding is governed by the weight constants arising along with the decomposition.

hep-th↗
arXiv2001

Extended Lambda-Maxwell duality and related large class of dyonic and neutral exactly solvable 4D Einstein-Maxwell-dilaton models discovered

We report the discovered class of exact static solutions of several 4D Einstein-Maxwell-dilaton systems: string-induced, Liouville, trigonometric, polynomial, etc., for three basic topologies (spherical, hyperbolical and flat) being uniformly treated. In addition to the usual electric-magnetic duality this class obeys a certain extended duality between Maxwell-dilaton coupling and dilaton mass. Though major solutions we obtain are dyonic, the class also comprises interesting neutral models. As a by-product, we significantly succeded in resolving of the two important problems, one of which has been standing more than a decade (system with the string-inspired exponential Maxwell-dilaton coupling and non-vanishing dilaton mass) and another one - gravity coupled to massive neutral scalar field: generalized Liouville, Sin(h), Cos(h) - is about fifty years old. Finally, we demonstrate the full separability of the static EMD system and publicize the simple procedure of how to generate new integrability classes.

hep-th↗
arXiv2000

(D-E)-dimensional brane worlds and de Rham distribution formalism: Singular split versus compactification, restrictions on scenario and revision of gravitational energy problem

The proposed so far brane-world cosmological scenarios are concerned with (D-1)-dimensional embeddings into the D-dimensional spacetime, besides, it is supposed D=5 as a rule. However, it would be much more realistic to consider our four-Universe as 4-shell or 3-brane inside, e.g., 10-dimensional spacetime. In turn it immediately means that the theory of the $(D-D_E)$-dimensional singular embeddings, where the number of extra dimensions $D_E > 1$, is needed. Hence, the aim of this work is to provide such a theory: we construct the rigorous general theory of the induced gravity on singular submanifolds. At first, we perform the decomposition of the tangent bundle into the two subbundles which will be associated later with external and visible (with respect to some low-dimensional observer) parts of the high-$D$ manifold. Then we go to physics and perform the split of the manifold (in addition to the split of the tangent bundle) to describe both the induced internal geometry and external as-a-whole dynamics of singular embeddings, assuming matter being confined on the singular submanifold but gravity being propagated through the high-$D$ manifold. With the use of the de Rham axiomatic approach to delta-distributions we demonstrate that the four-Universe can be singularly embedded only in five- and six-dimensional space so if we want to consider its embedding in 10D then extra dimensions must be included as a product space only. We discuss the revealed generic features of the theory such as the multi-normal anisotropy, restrictions on an ambient space, reformulation of the conserved gravitational stress-energy tensor problem, etc.

gr-qc↗
arXiv2000

High-gradient theories as new essential ingredient for the beyond-Standard-Model Des(s)ert cuisine: Getting rid of divergences in Feynman graphs, unified ``all-in-one'' states and origin of generations

Inspiring ourselves by the assumption that the notion of symmetry itself is insufficient to construct the consistent physics of the Desert (the so-called region of energies beyond the Standard Model) and some additional insights are needed, we suggests that high-energy theories must take into account the higher-order variations of fields. With this in mind we propose the generalization of the concepts of kinetic energy and free particle. It is shown that the theory founded on such principles reveals major features of the genuinely high-energy one, first of all, it appears to be free from ultra-violet divergences, even the self-energy loop terms become finite. Also we discuss other arising interesting phenomena such as the high-gradient currents and charges, unified ``all-in-one'' multi-mass states, VR symmetry, regularization-without-renormalization of SM, etc.

hep-th↗
arXiv2000

Field-to-particle transition based on the zero-brane approach to quantization of multiscalar field theories and its application for Jackiw-Teitelboim gravity

The field-to-particle transition formalizm based on the effective zero-brane action approach is generalized for arbitrary multiscalar fields. As a fruitful example, by virtue of this method we derive the non-minimal particle action for the Jackiw-Teitelboim gravity at fixed gauge in the vicinity of the black hole solution as an instanton-dilaton doublet. When quantizing it as the theory with higher derivatives, it is shown that the appearing quantum equation has SU(2) dynamical symmetry group realizing the exact spin-coordinate correspondence. Finally, we calculate the quantum corrections to the mass of the JT black hole.

hep-th↗
arXiv2000

Evolution of thin-wall configurations of texture matter

We consider the free matter of global textures within the framework of the perfect fluid approximation in general relativity. We examine thermodynamical properties of texture matter in comparison with radiation fluid and bubble matter. Then we study dynamics of thin-wall selfgravitating texture objects, and show that classical motion can be elliptical (finite), parabolical or hyperbolical. It is shown that total gravitational mass of neutral textures in equilibrium equals to zero as was expected. Finally, we perform the Wheeler-DeWitt's minisuperspace quantization of the theory, obtain exact wave functions and discrete spectra of bound states with provision for spatial topology.

gr-qc↗
arXiv1999

Zero-brane approach to quantization of biscalar field theory about topological kink-bell solution

We study the properties of the topologically nontrivial doublet solution arisen in the biscalar theory with a fourth-power potential introducing an example of the spontaneous breaking of symmetry. We rule out the zero-brane (non-minimal point particle) action for this doublet as a particle with curvature. When quantizing it as the theory with higher derivatives, we calculate the quantum corrections to the mass of the doublet which could not be obtained by means of the perturbation theory.

hep-th↗
arXiv1999

Non-linear phenomena in electrical circuits: Simulation of non-linear relativistic field theory and possible applications

We propose the non-accelerator non-low-temperature simulator of quantum-field effects which is based on the feeder circuits with the special feedback. By means of it one can study the field models which contain fundamental concepts in the modern field theory but do not exist in nature in a separate form. Besides, several field phenomena might find technological applications by virtue of the electrical analogy.

cond-mat.mtrl-sci↗
arXiv1999

Nonminimal particle-like solutions in cubic scalar field theory

The cubic scalar field theory admits the bell-shaped solitary wave solutions which can be interpreted as massive Bose particles. We rule out the nonminimal p-brane action for such a solution as the point particle with curvature. When quantizing it as the theory with higher derivatives, it is shown that the corresponding quantum equation has SU(2) dynamical symmetry group realizing the exact spin-coordinate correspondence. Finally, we calculate the quantum corrections to the mass of the bell boson which can not be obtained by means of the perturbation theory starting from the vacuum sector.

hep-th↗
arXiv1999

Zero-brane approach to study of particle-like solitons in classical and quantum Liouville field theory

The effective p-brane action approach is generalized for arbitrary scalar field and applied for the Liouville theory near a particle-like solution. It was established that this theory has the remarkable features discriminating it from the theories studied earlier. Removing zero modes we obtain the effective action describing the solution as a point particle with curvature, quantize it as the theory with higher derivatives and calculate the quantum corrections to mass.

hep-th↗
arXiv1999

Extended particle models based on hollow singular hypersurfaces in general relativity: Classical and quantum aspects of charged textures

In present paper we construct classical and quantum models of an extended charged particle. One shows that consecutive modelling can be based on the hollow thin-wall charged texture (in the hydrodynamical approach of a perfect fluid) which acquires gravitational mass due to Einstein-Maxwell interaction. We demonstrate that such a model has equilibrium states at the radius equal to the established classical radius of a charged particle. Also we consider quantum aspects of the theory and obtain the (internal) Dirac sea conception in a natural way. Besides, the phenomenological unification on the mass level of the two families of elementary particles, charged pions and electrons and positrons, evidently arises as the effect induced by classical and quantum gravity prior to Standard Model. Finally, in the cosmological connection our model proposes the answer on the important question, what are the real sources of texture matter. Besides, the texture hypothesis means that in the early Universe the topological texture foam phase existed before the lepton-hadron one.

gr-qc↗
arXiv1999

Acoustic phase lenses in superfluid helium as models of composite spacetimes in general relativity: Classical and quantum features

In the spirit of the well-known analogy between inviscid fluids and pseudo-Riemannian manifolds we study spherical singular hypersurfaces in the static superfluid. Such hypersurfaces turn out to be the interfaces dividing the superfluid into the pairs of spherical domains, examples of which are ``superfluid A - superfluid B'' or ``impurity - superfluid'' phases. It is shown that these shells form the acoustic lenses which are the sonic counterparts of the usual optical ones. The exact equations of motion of the lens interfaces are obtained. Also some quantum aspects of the theory are considered. We calculate energy spectra for bound states of acoustic lenses in dynamical equilibrium, taking into account the analogy to a material shell model of a black hole (we consider the cases of spatial topology of a black hole and a wormhole type).

gr-qc↗