arXiv subjects

M. Suleymanov

Publications and source records attributed to M. Suleymanov.

7 recordsLinked to original sources

arXiv2026

Influence of the QCD Analogue of the Inverse Compton Effect on the Transverse Momentum and Pseudorapidity Distributions of Secondary Particles in pp Collisions at sqrt (s)= 30 GeV, 510 GeV, and 14 TeV

Within the framework of numerical simulations, this work investigates the influence of the QCD analogue of the inverse Compton effect (ICE) in the quark--gluon scattering process qg \rightarrow qg on the transverse momentum p_T and pseudorapidity eta distributions of secondary particles produced in proton--proton collisions at energies sqrt{s}=30 GeV, 510 GeV, 14 TeV. In the present context, ICE refers to a class of parton-level kinematic configurations in which the incoming quark carries a larger fraction of energy than the gluon, in contrast to the complementary DCE regime. The simulations were performed using the PYTHIA~8.316 event generator. It is shown that the relative contributions of ICE and DCE strongly depend on the collision energy. As the energy increases from sqrt{s}=30 GeV to sqrt{s}=14 TeV, the ICE contribution becomes comparable to or exceeds the DCE contribution over a broad p_T range. The analysis of pseudorapidity distributions demonstrates that deviations of the ICE/DCE ratio from unity appear predominantly in the central region |eta| simeq 0, corresponding to symmetric partonic configurations x_1 sim x_2, whereas in peripheral regions the ratio approaches unity. The obtained results indicate that, with increasing collision energy, the contribution of ICE-like processes grows due to the enhanced role of gluon collisions in the small-x region.

hep-ph↗

arXiv2026

The influence of the inverse Compton effect on the transverse momentum spectra of particles produced in pp collisions at \sqrt{s}=14 TeV

The influence of the QED-analog of the inverse Compton effect on the transverse momentum spectra of particles produced in proton-proton collisions at energies of \sqrt{s}=14 TeV has been investigated. The analysis is based on the quark-gluon scattering process g + q --> g + q, which is the QCD analogue of Compton scattering of a photon on an electron and can lead to energy redistribution between partons, analogous to the mechanism of the inverse Compton effect. Data obtained numerically using the PYTHIA event generator (version 8.316) were used. A total of 5*10^5 proton-proton collisions at \sqrt{s}=14 TeV were analyzed. Events were classified based on the relative energies of the initial quark and gluon, which allowed us to distinguish Compton scattering (DCE) events from inverse Compton scattering (ICE) events. Particle transverse momentum spectra were obtained in the region: p_{T} < 10 GeV/c. The results showed that including inverse Compton scattering events in the analysis leads to a moderate increase in particle yield. The ratio of the spectra for ICE and DCE events remains approximately constant and is about 1.1 within statistical errors. No significant broadening of the transverse momentum spectra is observed. These results show that proton-proton collisions can serve as a reliable baseline for studies of energy redistribution mechanisms in a dense QCD medium, such as quark-gluon plasma.

hep-ph↗

arXiv2023

Hall conductivity as the topological invariant in magnetic Brillouin zone in the presence of interactions

Hall conductivity for the intrinsic anomalous quantum Hall effect in homogeneous systems is given by the topological invariant composed of the Green function depending on momentum of quasiparticle. This expression reveals correspondence with the mathematical notion of the degree of mapping. A more involved situation takes place for the quantum Hall effect in the presence of external magnetic field. In this case the mentioned expression remains valid if the Green function is taken in a specific representation, where it becomes the infinite - dimensional matrix \cite{Imai:1990zz} or if it is replaced by its Wigner transformation while ordinary products are replaced by the Moyal products \cite{ZW2019}. Both these expressions, unfortunately, are much more complicated and might be useless for the practical calculations. Here we represent the alternative representation for the Hall conductivity of a uniform system in the presence of constant magnetic field. The Hall conductivity is expressed through the Green function taken in Harper representation, when its nonhomogeneity is attributed to the matrix structure while functional dependence is on one momentum that belongs to magnetic Brillouin zone. Our consideration for the interacting systems is non - perturbative and is based on the Schwinger - Dyson equations truncated in a reasonable way. We demonstrate that in this approximation the expression for the Hall conductivity in Harper representation remains valid, where the interacting Green function is to be used instead of the non - interacting one. We, therefore, propose that the obtained expression may be used for the topological description of fractional quantum Hall effect.

cond-mat.mes-hall↗

arXiv2021

Hall conductivity as the topological invariant in magnetic Brillouin zone

Hall conductivity for the intrinsic quantum Hall effect in homogeneous systems is given by the topological invariant composed of the Green function depending on momentum of quasiparticle. This expression reveals correspondence with the mathematical notion of the degree of mapping. A more involved situation takes place for the Hall effect in the presence of external magnetic field. In this case the mentioned expression remains valid if the Green function is replaced by its Wigner transformation while ordinary products are replaced by the Moyal products. Such an expression, unfortunately, is much more complicated and might be useless for the practical calculations. Here we represent the alternative representation for the Hall conductivity of a uniform system in the presence of constant magnetic field. The Hall conductivity is expressed through the Green function taken in Harper representation, when its nonhomogeneity is attributed to the matrix structure while functional dependence is on one momentum that belongs to magnetic Brillouin zone. Our results were obtained for the non - interacting systems. But we expect that they remain valid for the interacting systems as well. We, therefore, propose the hypothesis that the obtained expression may be used for the topological description of fractional quantum Hall effect.

cond-mat.mes-hall↗

arXiv2021

Hall conductivity as topological invariant in phase space

It is well known that the quantum Hall conductivity in the presence of constant magnetic field is expressed through the topological TKNN invariant. The same invariant is responsible for the intrinsic anomalous quantum Hall effect (AQHE), which, in addition, may be represented as one in momentum space composed of the two point Green's functions. We propose the generalization of this expression to the QHE in the presence of non-uniform magnetic field. The proposed expression is the topological invariant in phase space composed of the Weyl symbols of the two-point Green's function. It is applicable to a wide range of non-uniform tight-binding models, including the interacting ones.

cond-mat.mes-hall↗

arXiv2020

Chiral Separation effect in non-homogeneous systems

We discuss chiral separation effect in the systems with spatial non - homogeneity. It may be caused by non - uniform electric potential or by another reasons, which do not, however, break chiral symmetry of an effective low energy theory. Such low energy effective theory describes quasiparticles close to the Fermi surfaces. In the presence of constant external magnetic field the non - dissipative axial current appears. It appears that its response to chemical potential and magnetic field (the CSE conductivity) is universal. It is robust to smooth modifications of the system and is expressed through an integral over a surface in momentum space that surrounds all singularities of the Green function. In itself this expression represents an extension of the topological invariant protecting Fermi points to the case of inhomogeneous systems.

hep-th↗

arXiv2018

Wigner - Weyl formalism and the propagator of Wilson fermions in the presence of varying external electromagnetic field

We develop Wigner - Weyl formalism for the lattice models. For the definiteness we consider Wilson fermions in the presence of $U(1)$ gauge field. The given technique reduces calculation of the two point fermionic Green function to solution of the Groenewold equation. It relates Wigner transformation of the Green function with the Weyl symbol $Q_W$ of Wilson Dirac operator. We derive the simple expression for $Q_W$ in the presence of varying external $U(1)$ gauge field. Next, we solve the Groenewold equation to all orders in powers of the derivatives of $Q_W$. Thus the given technique allows to calculate the fermion propagator in the lattice model with Wilson fermions in the presence of arbitrary background electromagnetic field. The generalization of this method to the other lattice models is straightforward.

hep-lat↗