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Papers by Andrew KOSHELKIN

Proceedings of International Conference on Particle Accelerators

The quasi-classical model in a gauge theory with the Yang-Mills (YM) field is developed. On a bas... more The quasi-classical model in a gauge theory with the Yang-Mills (YM) field is developed. On a basis of the exact solution of the Dirac equation in the SU(N) gauge field, which is in the eikonal approximation, the Yang-Mills (YM) equations containing the external fermion current are solved. The derived solutions are quantized in the quasi-classical approach. The developed model proves to have the self-consistent solutions of the Dirac and Yang-Mills equations at N ≥ 3. Thereat the solutions take place provided that the fermion and gauge fields exist simultaneously, so that the fermion current completely compensates the current generated by the gauge field due to it self-interaction. The obtained solution are considered in the context of QCD.

Proceedings of XVII International Conference on Hadron Spectroscopy and Structure — PoS(Hadron2017), 2018

The hadronization into the octet... A.Koshelkin

Proceedings of The European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2015), 2016

Proceedings of Xth Quark Confinement and the Hadron Spectrum — PoS(Confinement X), 2013

We show from the action integral that under the assumption of longitudinal dominance and transver... more We show from the action integral that under the assumption of longitudinal dominance and transverse confinement, QCD 4 in (3+1) dimensional space-time can be approximately compactified into QCD 2 in (1+1) dimensional space-time. In such a process, the relation between the coupling constant g 2D in QCD 2 and the coupling constant g 4D in QCD 4 is derived. The quark and gluon masses as well as the QCD 2 fermion current acquired in the compactification are obtained. They depend crucially on the excitation of the partons in the transverse degrees of freedom.

Proceedings of Sixth International Conference on Quarks and Nuclear Physics — PoS(QNP2012), 2012

arXiv: High Energy Physics - Theory, 2012

Bosonization of the strong interacting matter as a process of arising observable hadrons is studi... more Bosonization of the strong interacting matter as a process of arising observable hadrons is studied in terms of the phase transition of the second kind. The spectrum of bosons which is free from the zero point energy is derived . The calculated boson mass is found to depend self-consistently on both the amplitude of a gauge field and quark mass. In the framework of the quasi-classical model a hadron mass is calculated in the case of bosonization into pions.

Akademiia Nauk SSSR Doklady, Jul 1, 1988

Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki, Apr 1, 1987

Journal of Experimental and Theoretical Physics, Apr 1, 1987

Soviet physics. Doklady, 1986

Proceedings of Sixth International Conference on Quarks and Nuclear Physics — PoS(QNP2012), 2012

We show from the action integral that under the assumption of longitudinal dominance and transver... more We show from the action integral that under the assumption of longitudinal dominance and transverse confinement, QCD4 in (3+1) dimensional space-time can be approximately compactified into QCD2 in (1+1) dimensional space-time. In such a process, we find the relation between the coupling constant g(2D) in QCD2 and the coupling constant g(4D) in QCD4. We also show that quarks and gluons in QCD2 acquire masses as a result of the compactification.

verse confinement, QCD 4 in (3+1) dimensional space-time can be approximately compactified into Q... more verse confinement, QCD 4 in (3+1) dimensional space-time can be approximately compactified into QCD2 in (1+1) dimensional space-time. In such a process, the relation between the coupling constantg2D in QCD2 and the coupling constant g4D in QCD4 is derived. The quark and gluon masses as well as the QCD 2 fermion current acquired in the compactification are obtained. They depend crucially on the excitation of the partons in the transverse degrees of freedom.

SciPost Physics Proceedings

Following the quark-hadron duality concept, we show that the number of hadrons generated in the d... more Following the quark-hadron duality concept, we show that the number of hadrons generated in the deconfinement matter is entirely determined by the exact non-equilibrium Green’s functions of partons in the medium and the vertex function governing the probability of the confinement-deconfinement phase transition. In such an approach, compactifying the standard (3+1) chromodynamics into QCD_{xy} + QCD_{zt}QCDxy+QCDzt, the rate of the hadrons produced in particle collisions is derived in the explicit form provided that the hadronization is the first order phase transition. The pion production is found to be in good agreement to the experimental results on the pion yield in pppp collisions.

We examine the dynamics of quarks and gauge fields in QCD and QED interactions in the lowest ener... more We examine the dynamics of quarks and gauge fields in QCD and QED interactions in the lowest energy states with approximate cylindrical symmetry, as in a flux tube. Using the action integral, we separating out the (3+1)D space-time in terms of the transverse and the longitudinal degrees of freedom and solve the resultant equations of motion. We find that there are localized and stable states of QCD and QED collective excitations, showing up as particles whose masses depend on the QCD and QED coupling constants and the flux-tube radius. Along with stable collective QCD excitations of the quark-QCD-QED system, there may be stable QED collective excitations at the lower energies of many tens of MeV.

We show from the action integral that in the special environment of a flux tube, QCD_4 in (3+1) d... more We show from the action integral that in the special environment of a flux tube, QCD_4 in (3+1) dimensional space-time can be approximately compactified into QCD_2 in (1+1) dimensional space-time. In such a process, we find out how the coupling constant g_2D in QCD_2 is related to the coupling constant g_4D in QCD_4. We show how the quark and the gluon in QCD_2 acquire contributions to their masses arising from their confinement within the tube, and how all these quantities depend on the excitation of the partons in the transverse degrees of freedom. The compactification facilitates the investigation of some dynamical problems in QCD_4 in the simpler dynamics of QCD_2 where the variation of the gluon fields leads to a bound state.

The European Physical Journal Conferences

On the basis of a compactification of the (3+1) into (1+1) dimensional space-time [1] , the quark... more On the basis of a compactification of the (3+1) into (1+1) dimensional space-time [1] , the quark states inside the 2D flux tube are studied for the case of a linear transverse confining potential. The derived states are classified by both the projections of the orbital momentum and the spin along the tube direction. The spectrum of the fermion states is evaluated. It is found that the energy eigenvalues of the quarks appear to be approximately related to the square root of the eigenvalues of the two-dimensional harmonic oscillator.

Proceedings of International Conference on Particle Accelerators

The quasi-classical model in a gauge theory with the Yang-Mills (YM) field is developed. On a bas... more The quasi-classical model in a gauge theory with the Yang-Mills (YM) field is developed. On a basis of the exact solution of the Dirac equation in the SU(N) gauge field, which is in the eikonal approximation, the Yang-Mills (YM) equations containing the external fermion current are solved. The derived solutions are quantized in the quasi-classical approach. The developed model proves to have the self-consistent solutions of the Dirac and Yang-Mills equations at N ≥ 3. Thereat the solutions take place provided that the fermion and gauge fields exist simultaneously, so that the fermion current completely compensates the current generated by the gauge field due to it self-interaction. The obtained solution are considered in the context of QCD.

Proceedings of XVII International Conference on Hadron Spectroscopy and Structure — PoS(Hadron2017), 2018

The hadronization into the octet... A.Koshelkin

Proceedings of The European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2015), 2016

Proceedings of Xth Quark Confinement and the Hadron Spectrum — PoS(Confinement X), 2013

We show from the action integral that under the assumption of longitudinal dominance and transver... more We show from the action integral that under the assumption of longitudinal dominance and transverse confinement, QCD 4 in (3+1) dimensional space-time can be approximately compactified into QCD 2 in (1+1) dimensional space-time. In such a process, the relation between the coupling constant g 2D in QCD 2 and the coupling constant g 4D in QCD 4 is derived. The quark and gluon masses as well as the QCD 2 fermion current acquired in the compactification are obtained. They depend crucially on the excitation of the partons in the transverse degrees of freedom.

Proceedings of Sixth International Conference on Quarks and Nuclear Physics — PoS(QNP2012), 2012

arXiv: High Energy Physics - Theory, 2012

Bosonization of the strong interacting matter as a process of arising observable hadrons is studi... more Bosonization of the strong interacting matter as a process of arising observable hadrons is studied in terms of the phase transition of the second kind. The spectrum of bosons which is free from the zero point energy is derived . The calculated boson mass is found to depend self-consistently on both the amplitude of a gauge field and quark mass. In the framework of the quasi-classical model a hadron mass is calculated in the case of bosonization into pions.

Akademiia Nauk SSSR Doklady, Jul 1, 1988

Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki, Apr 1, 1987

Journal of Experimental and Theoretical Physics, Apr 1, 1987

Soviet physics. Doklady, 1986

Proceedings of Sixth International Conference on Quarks and Nuclear Physics — PoS(QNP2012), 2012

We show from the action integral that under the assumption of longitudinal dominance and transver... more We show from the action integral that under the assumption of longitudinal dominance and transverse confinement, QCD4 in (3+1) dimensional space-time can be approximately compactified into QCD2 in (1+1) dimensional space-time. In such a process, we find the relation between the coupling constant g(2D) in QCD2 and the coupling constant g(4D) in QCD4. We also show that quarks and gluons in QCD2 acquire masses as a result of the compactification.

verse confinement, QCD 4 in (3+1) dimensional space-time can be approximately compactified into Q... more verse confinement, QCD 4 in (3+1) dimensional space-time can be approximately compactified into QCD2 in (1+1) dimensional space-time. In such a process, the relation between the coupling constantg2D in QCD2 and the coupling constant g4D in QCD4 is derived. The quark and gluon masses as well as the QCD 2 fermion current acquired in the compactification are obtained. They depend crucially on the excitation of the partons in the transverse degrees of freedom.

SciPost Physics Proceedings

Following the quark-hadron duality concept, we show that the number of hadrons generated in the d... more Following the quark-hadron duality concept, we show that the number of hadrons generated in the deconfinement matter is entirely determined by the exact non-equilibrium Green’s functions of partons in the medium and the vertex function governing the probability of the confinement-deconfinement phase transition. In such an approach, compactifying the standard (3+1) chromodynamics into QCD_{xy} + QCD_{zt}QCDxy+QCDzt, the rate of the hadrons produced in particle collisions is derived in the explicit form provided that the hadronization is the first order phase transition. The pion production is found to be in good agreement to the experimental results on the pion yield in pppp collisions.

We examine the dynamics of quarks and gauge fields in QCD and QED interactions in the lowest ener... more We examine the dynamics of quarks and gauge fields in QCD and QED interactions in the lowest energy states with approximate cylindrical symmetry, as in a flux tube. Using the action integral, we separating out the (3+1)D space-time in terms of the transverse and the longitudinal degrees of freedom and solve the resultant equations of motion. We find that there are localized and stable states of QCD and QED collective excitations, showing up as particles whose masses depend on the QCD and QED coupling constants and the flux-tube radius. Along with stable collective QCD excitations of the quark-QCD-QED system, there may be stable QED collective excitations at the lower energies of many tens of MeV.

We show from the action integral that in the special environment of a flux tube, QCD_4 in (3+1) d... more We show from the action integral that in the special environment of a flux tube, QCD_4 in (3+1) dimensional space-time can be approximately compactified into QCD_2 in (1+1) dimensional space-time. In such a process, we find out how the coupling constant g_2D in QCD_2 is related to the coupling constant g_4D in QCD_4. We show how the quark and the gluon in QCD_2 acquire contributions to their masses arising from their confinement within the tube, and how all these quantities depend on the excitation of the partons in the transverse degrees of freedom. The compactification facilitates the investigation of some dynamical problems in QCD_4 in the simpler dynamics of QCD_2 where the variation of the gluon fields leads to a bound state.

The European Physical Journal Conferences

On the basis of a compactification of the (3+1) into (1+1) dimensional space-time [1] , the quark... more On the basis of a compactification of the (3+1) into (1+1) dimensional space-time [1] , the quark states inside the 2D flux tube are studied for the case of a linear transverse confining potential. The derived states are classified by both the projections of the orbital momentum and the spin along the tube direction. The spectrum of the fermion states is evaluated. It is found that the energy eigenvalues of the quarks appear to be approximately related to the square root of the eigenvalues of the two-dimensional harmonic oscillator.