arXiv subjects

Arislan Makhmudov

Publications and source records attributed to Arislan Makhmudov.

5 recordsLinked to original sources

arXiv2019

Non-Abelian Proca-Dirac-Higgs theory: particle-like solutions and their energy spectrum

We study a system consisting of a non-Abelian SU(2) Proca field interacting with nonlinear scalar (Higgs) and spinor fields. For such a system, it is shown that particle-like solutions with finite energy do exist. It is demonstrated that the solutions depend on three free parameters of the system, including the central value of the scalar field $ξ_0$. For some fixed values of $ξ_0$, we find energy spectra of the solutions. It is shown that for each of the cases under consideration there is a minimum value of the energy $Δ=Δ(ξ_0)$ (the mass gap $Δ(ξ_0)$ for a fixed value of $ξ_0$). The behavior of the function $Δ(ξ_0)$ is studied for some range of $ξ_0$.

hep-th↗

arXiv2019

Static general relativistic solutions supported by phantom and ordinary scalar fields with higher-order potentials

Domain wall, wormhole, particlelike, and cosmic string general relativistic solutions supported by two interacting phantom or ordinary scalar fields with 4th-, 6th-, and 8th-order potentials are studied. Numerical calculations indicate that regular finite energy solutions exist only for specific values of two free parameters of the potentials. By solving nonlinear eigenvalue problems for some fixed sets of values of the free parameters and of boundary conditions, it is shown that the presence or absence of the solutions depends on a particular symmetry of the problem, on the type of the scalar fields (ordinary or phantom), and on the form of the potential.

gr-qc↗

arXiv2016

Singularity-free model of electrically charged fermionic particles and gauged Q-balls

We propose a model of an electrically charged fermion as a regular localized solution of electromagnetic and spinor fields interacting with a physical vacuum, which is phenomenologically described as a logarithmic superfluid. We analytically study the asymptotic behavior of the solution, while obtaining its form by numerical methods. The solution has physically plausible properties, such as finite size, self-energy, total charge and mass. In the case of spherical symmetry, its electric field obeys the Coulomb asymptotics at large distances from its core. It is shown that the observable rest mass of the fermion arises as a result of interaction of the fields with the physical vacuum. The spinor and scalar field components of the solution decay exponentially outside the core; therefore they can be regarded as internal degrees of freedom which can only be probed at sufficiently large scales of energy and momentum. Apart from conventional Fermi particles, our model can find applications in a theory of exotic localized objects, such as U(1) gauged Q-balls with half-integer spin.

hep-th↗

arXiv2016

Compact and extended objects from self-interacting phantom fields

In this work we investigate localized and extended objects for gravitating, self-interacting phantom fields. The phantom fields come from two scalar fields with a "wrong sign" (negative) kinetic energy term in the Lagrangian. This study covers several solutions supported by these phantom fields: phantom balls, traversable wormholes, phantom cosmic strings, and "phantom" domain walls. These four systems are solved numerically and we try to draw out general, interesting features in each case.

gr-qc↗

arXiv2015

Scalar model of glueball in nonperturbative quantisation à la Heisenberg

A scalar model of glueball is considered. The model is based on two scalar fields approximation for SU(3) non-Abelian Lagrangian. The approach to approximation makes use of the assumption that 2 and 4-points Green's functions are described in terms of some two scalar fields. The model is described via non-perturbative method due to value of coupling constant, which does not permit us using of Feynman diagrams and therefore of perturbative methods. Asymptotical behaviour of the scalar fields are obtained. Profiles of these fileds calculated for a range of values of a parameter of the problem is given. Detailed numerical investigation of corresponding equations describing this model is performed. The dependence of the glueball mass vs parameters of scalar fields is shown. Comparison of characteristics of glueball obtained in our two-scalar model and predictions of other models and experimental data for glueball is performed.

hep-ph↗