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Path integral representation for inverse third order wave operator within the Duffin-Kemmer-Petiau ***

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arXiv 2020年

作者： Markov, Yu A. Markova, M.A. Matrosov Institute for System Dynamics and Control Theory SB RAS Irkutsk Russia Department of Physics Tomsk State University Tomsk Russia

This paper is an immediate continuation of the first part of our paper [1]. Here, in a para-Grassmann algebra we introduce a noncommutative, associative star product ∗ (the Moyal product), which is a direct generalization of the star product in the algebra of Grassmann numbers. Isomorphism between the algebra of para-Grassmann numbers of order 2 equipped with the star product and with the algebra of creation and annihilation operators a±n obeying the para-Fermi statistics of the same order is established. Two independent approaches to the calculation of the Moyal product ∗ are considered. It is shown that in calculating the matrix elements in the basis of parafermion coherent states of various expressions it should be taken into account constantly that we work in the so-called Ohnuki and Kamefuchi’s generalized state-vector space U G, whose state vectors include para-Grassmann numbers ξk in their definition, instead of the standard state-vector space U (the Fock space). Otherwise, the wide array of contradictions arises. An immediate consequence of using the extended state-vector space U G is a necessity to consider the quadratic Casimir operators Ĉ2 and Ĉ2′ of the orthogonal groups SO(2M) and SO(2M + 1), correspondingly. The action rules of the Casimir operators on the state vectors, an explicit form of their matrix elements are defined and a more general connection between the Harish-Chandra operator ŵ2 and the Geyer operator a20 is obtained. The notions of the triple star product, the star exponent and the Moyal bracket are introduced. It is shown that the use of the notions of the star product ∗ and the generalized state-vector space U G allows one to make a form of the matrix element of the contribution into the generalized Hamilton operator H, which is linear in the covariant derivative Dµ, more compact and visual. Copyright © 2020, The Authors. All rights reserved.

关键词： Vector spaces

Integer Programming Approach to the Data Traffic Paths Recovering Problem 19th

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Integer Programming Approach to the Data Traffic Paths Recov...

19th International Conference on Mathematical Optimization theory and Operations Research, MOTOR 2020

作者： Vasilyev, Igor Zhang, Dong Ren, Jie Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences Irkutsk Russia Algorithm and Technology Development Department Global Technical Service Department Huawei Technologies Co. Ltd. Dongguan China Moscow Advanced Software Technology Lab Huawei Russian Research Institute Moscow Russia

ISBN: (纸本)9783030499877

In this paper, we propose a novel approach to recovering path relationships in communication networks. The path relationship is one of the key input data which is necessary for network operation and maintenance. We have a continuous network transformation, upgrades, expansions, service allocations, thus the network physical topology and paths relationship are permanently changing with high frequency. Our approach is aimed at recovering the path relationships through flow information of each arc in the network. Getting the flow information is not a big technical problem and its control is included in the basic toolbox for network monitoring. We consider two scenarios which lead us to integer linear programs. The both of them minimize the flow deviation, where in the first one we look for a directed spanning tree (r-arborescence) and, in the second one—more general origin/destination paths (OD-paths). We propose mixed integer linear programming formulations for both problems. Their feature is that they contain the non-polynomial number of constraints which are considered implicitly by the cutting planes approach. The preliminary computation results showed that the large-scale instances of the first scenario can easily be solved. At the same time, the optimal solutions of second scenario problems can be found only on small- and medium-size instances, which inspires for the further research. © 2020, Springer Nature Switzerland AG.

关键词： Integer programming

Traffic flow prediction for vehicle emission calculation based on graph convolutional networks 1

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Traffic flow prediction for vehicle emission calculation bas...

1st International Workshop on Advanced Information and Computation Technologies and systems, AICTS 2020

作者： Jiang, Peng Bychkov, Igor Liu, Jun Li, Tianjiao Hmelnov, Alexei Department of Science and Technology Cooperation Westlake University No.18 Shilong Mountain Street Xihu District Hangzhou China "the Belt and Road" Institute for Information Technology Hangzhou Dianzi University No.115 Wenyi Road Xihu District Hangzhou China Hangzhou Dianzi University No.1158 Number Two Street Jianggan District Hangzhou China Matrosov Institute for System Dynamics and Control Theory Siberian Branch Russian Academy of Sciences 134 Lermontov st. Irkutsk Russia

Monitoring the distribution of vehicle exhaust emissions within the city is a very challenging problem since it is affected by many complex factors, such as spatial-temporal correlation and the other environment conditions. In addition, the technology of using sensors to directly monitor vehicle exhaust emissions is still in the initial stage, and it is hard to implement direct monitoring in a large area. Thus, we use the existing environmental theory to measure the distribution of vehicle exhaust emissions in cities by traffic volume. In this paper, the problem we need to solve is how to use the data of sparse monitoring stations and inherent traffic network to infer the spatial-temporal distribution of traffic volume. In order to solve this problem, we propose a graph convolutional network model to extract the characteristics of traffic data and other features. We have done a lot of experiments on real traffic data sets. The experimental results show that the proposed method performs better than the existing methods. © 2021 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).

关键词： Flow graphs

Predicting of air pollutant concentrations based on spatio-temporal attention convolutional LSTM networks 1

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Predicting of air pollutant concentrations based on spatio-t...

1st International Workshop on Advanced Information and Computation Technologies and systems, AICTS 2020

作者： Jiang, Peng Bychkov, Igor Liu, Jun Hmelnov, Alexei Department of Science and Technology Cooperation Westlake University No.18 Shilong Mountain Street Xihu District Hangzhou China "the Belt and Road" Institute for Information Technology Hangzhou Dianzi University No.115 Wenyi Road Xihu District Hangzhou China Hangzhou Dianzi University No.1158 Number Two Street Jianggan District Hangzhou China Matrosov Institute for System Dynamics and Control Theory Siberian Branch Russian Academy of Sciences 134 Lermontov st. Irkutsk Russia

Forecasting of air pollutant concentration, which is influenced by air pollution accumulation, traffic flow and industrial emissions, has attracted extensive attention for decades. In this paper, we propose a spatio-temporal attention convolutional long short term memory neural networks (Attention-CNN-LSTM) for air pollutant concentration forecasting. Firstly, we analyze the Granger causalities between different stations and establish a hyperparametric Gaussian vector weight function to determine spatial autocorrelation variables, which is used as part of the input feature. Secondly, convolutional neural networks (CNN) is employed to extract the temporal dependence and spatial correlation of the input, while feature maps and channels are weighted by attention mechanism, so as to improve the effectiveness of the features. Finally, a depth long short term memory (LSTM) based time series predictor is established for learning the long-term and short-term dependence of pollutant concentration. In order to reduce the effect of diverse complex factors on LSTM, inherent features are extracted from historical air pollutant concentration data meteorological data and timestamp information are incorporated into the proposed model. Extensive experiments were performed using the Attention-CNN-LSTM, autoregressive integrated moving average (ARIMA), support vector regression (SVR), traditional LSTM and CNN, respectively. The results demonstrated that the feasibility and practicability of Attention-CNN-LSTM on estimating CO and NO concentration. © 2021 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).

关键词： Long short-term memory

Probing Hidden Leptonic Scalar Portals using the NA64 Experiment at CERN

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arXiv 2024年

作者： Ponten, A. Sieber, H. Banto Oberhauser, B. Crivelli, P. Kirpichnikov, D. Gninenko, S.N. Hösgen, M. Molina Bueno, L. Mongillo, M. Zhevlakov, A. Uppsala University Department of Physics and Astronomy High Energy Physics Ångströmlaboratoriet Lägerhyddsvägen 1 Uppsala752 36 Sweden ETH Zürich Institute for Particle Physics and Astrophysics ZürichCH-8093 Switzerland Institute for Nuclear Research The Russian Academy of Sciences Moscow117312 Russia Center for Theoretical and Experimental Particle Physics Facultad de Ciencias Exactas Universidad Andres Bello Fernandez Concha 700 Santiago Chile Universität Bonn Helmholtz-Institut für Strahlen-und Kernphysik Bonn53115 Germany Carrer del Catedratic Jose Beltran Martinez 2 Paterna Valencia46980 Spain Bogoliubov Laboratory of Theoretical Physics JINR Dubna141980 Russia Matrosov Institute for System Dynamics and Control Theory SB RAS Lermontov str. 134 Irkutsk664033 Russia

In this study, we demonstrate the potential of the NA64 experiment at CERN SPS to search for New Physics processes involving e → μ transitions after the collision of 100 GeV electrons with target nuclei. A new Dark Sector leptonic portal in which a scalar boson φ could be produced in the lepton-flavor-changing bremsstrahlung-like reaction, eN → μNφ, is used as benchmark process. In this work, we develop a realistic Monte Carlo simulation of the NA64 experimental setup implementing the differential and total production cross-section computed at exact tree-level and applying the Weiszäcker-Williams phase space approximation. Using this framework, we investigate the main background sources and calculate the expected sensitivity of the experiment. The results indicate that with minor setup optimization, NA64 can probe a large fraction of the available parameter space compatible with the muon g−2 anomaly and the Dark Matter relic predictions in the context of a new Dark Sector leptonic portal with 1011 EOT. This result paves the way to the exploration of lepton-flavour-changing transitions in NA64. © 2024, CC BY.

关键词： Monte Carlo methods

Information Technologies: Algorithms, Models, systems (ITAMS-2019)

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CEUR Workshop Proceedings 2019年 2463卷

作者： Bychkov, Igor V. Karastoyanov, Dimitar Russian Academy of Sciences Matrosov Institute for System Dynamics and Control Theory SB RAS Irkutsk Russia Department of Embedded Intelligent Technologies Institute of Information and Communication Technologies of Bulgarian Academy of Sciences Sofia Bulgaria

Implication of the dark axion portal for the EDM of fermions and dark matter probing with NA64e, NA64μ, LDMX, M3, and BaBar

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Physical Review D 2022年第3期106卷 035018-035018页

作者： Alexey S. Zhevlakov Dmitry V. Kirpichnikov Valery E. Lyubovitskij Bogoliubov Laboratory of Theoretical Physics JINR 141980 Dubna Russia Matrosov Institute for System Dynamics and Control Theory SB RAS 134 Lermontov Street 664033 Irkutsk Russia Institute for Nuclear Research of the Russian Academy of Sciences 117312 Moscow Russia Institut für Theoretische Physik Universität Tübingen Kepler Center for Astro and Particle Physics Auf der Morgenstelle 14 D-72076 Tübingen Germany Departamento de Física y Centro Científico Tecnológico de Valparaíso-CCTVal Universidad Técnica Federico Santa María Casilla 110-V Valparaíso Chile Millennium Institute for Subatomic Physics at the High-Energy Frontier (SAPHIR) of ANID Fernández Concha 700 Santiago Chile Department of Physics Tomsk State University 634050 Tomsk Russia Tomsk Polytechnic University 634050 Tomsk Russia

The link between ordinary Standard Model (SM) photons and both dark photons and axion-like particles (ALPs) can be introduced through the dark axion portal coupling. Given the dark axion portal setup, in the present paper we refer to the dark photon as the mediator between SM and dark matter (DM) particles, implying that it decays predominantly into a pair of DM fermions. Furthermore, we discuss in detail the implication of the dark axion portal scenario for the lepton (electron and muon) fixed-target experiments. In particular, for the specific fixed-target facility we study the missing-energy signatures of the dark photon production followed by its invisible decay into stable DM particles. We investigate the potential to probe dark axion portal vertices with regarding signatures and derive the expected sensitivities of NA64e, NA64μ, LDMX and M3. Moreover, we estimate the expected reach of NA64e from the projected statistics of the J/ψ vector meson invisible decays. We also recast the BABAR monophoton bounds for the specific dark axion portal scenario. In addition, we modify the dark axion portal setup by including in the model both the hadron- and lepton-specific ALP couplings. As a result, we obtain the bounds on the combination of fermion-specific couplings of ALP from the fixed-target experiments. We discuss the implication of the modified dark axion portal scenario for the electric dipole moments (EDMs) of SM fermions. In addition, we derive novel constraints on the combination of the CP-violating neutron-specific ALP couplings from the existing bounds on neutron EDMs by taking into account the neutron anomalous magnetic moment.

关键词： Axions Hypothetical particle physics models Particle dark matter Hypothetical gauge bosons

Implication of the dark axion portal for the EDM of fermions and dark matter probing with NA64e, NA64µ, LDMX, M3, and BaBar

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arXiv 2022年

作者： Zhevlakov, Alexey S. Kirpichnikov, Dmitry V. Lyubovitskij, Valery E. Bogoliubov Laboratory of Theoretical Physics JINR Dubna 141980 Russia Matrosov Institute for System Dynamics and Control Theory SB RAS Lermontov str. 134 Irkutsk664033 Russia Institute for Nuclear Research of the Russian Academy of Sciences Moscow117312 Russia Institut für Theoretische Physik Universität Tübingen Kepler Center for Astro and Particle Physics Auf der Morgenstelle 14 TübingenD-72076 Germany Departamento de Física Centro Científico Tecnológico de Valparaíso-CCTVal Universidad Técnica Federico Santa María Casilla 110-V Valparaíso Chile of ANID Fernández Concha 700 Santiago Chile Department of Physics Tomsk State University Tomsk634050 Russia Tomsk Polytechnic University Tomsk634050 Russia

The link between ordinary Standard model (SM) photon and both dark photon and axion like particle (ALP) can be introduced through the dark axion portal coupling. Given the dark axion portal setup, in the present paper we refer the dark photon as the mediator between SM and dark matter (DM) particles, implying that it decays predominantly into pair of DM fermions. Furthermore, we discuss in detail the implication of the dark axion portal scenario for the lepton (electron and muon) fixed target experiments. In particular, for the specific fixed target facility we study the missing energy signatures of the dark photon production followed by its invisible decay into stable DM particles. We investigated the potential to probe dark axion portal vertices with regarding signatures and derive the expected sensitivities of NA64e, NA64µ, LDMX and M3. Moreover, we estimated the expected reach of NA64e from the projected statistics of the J/ψ vector meson invisible decays. We also recasted BaBar monophoton bounds for the specific dark axion portal scenario. In addition, we modified the dark axion portal setup by including in the model both the hadron and lepton specific ALP couplings. As the result, we obtain the bounds on the combination of fermion-specific couplings of ALP from the fixed target experiments. We discuss the implication of the modified dark axion portal scenario for the electric dipole moments (EDM) of SM fermions. In addition, we derived the novel constraints on the combination of the CP-violating neutron-specific ALP couplings from the existing bounds on neutron EDM by taking into account the neutron anomalous magnetic moment. © 2022, CC BY.

关键词： Galaxies

Relaxation in population dynamics models with hysteresis ∗

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arXiv 2020年

作者： Timoshin, Sergey A. Aiki, Toyohiko Fujian Province University Key Laboratory of Computational Science School of Mathematical Sciences Huaqiao University Quanzhou362021 China Matrosov Institute for System Dynamics and Control Theory Russian Academy of Sciences Lermontov str. 134 Irkutsk664033 Russia Department of Mathematical and Physical Sciences Faculty of Science Japan Women’s University 2-8-1 Mejirodai Bunkyo-kuTokyo112-8681 Japan

The present paper is concerned with a nonlinear partial differential control system subject to a state-dependent and nonconvex control constraint. This system models the dynamics of populations in the vegetation–prey–predator framework and takes account of diffusive and hysteresis effects appearing in the process. We prove the existence of solutions to our system and show that they are close in a suitable sense to solutions of the system with the convexified control constraint. Copyright © 2020, The Authors. All rights reserved.

关键词： control systems