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Fields and Particles

• Investigation and construction of 3D quantum integrable models on the basis of corresponding modifications of the quantum inverse scattering method. Derivation of static and dynamic solutions arising in noncommutative gauge field theories. Construction of the deformation quantization for Poisson - Lie structures.
  
  
• Construction of new Abelian and non-Abelian superextensions of the Born-Infeld theory in the approach of partial spontaneous breakdown of supersymmetry. Constructing, in the same approach, superbrane actions on the curved homogeneous superbackgrounds, including the AdS one.
  
  Development of convenient quantum methods in the harmonic N=3 superspace, their application for computing the low-energy effective action of N=3 and N=4 gauge theories, and checking the AdS/QFT correspondence on this basis.
  
  Further analysis of integrable systems with N=2 and N=4 supersymmetries, construction and study of supersymmetric matrix models associated with these systems, as well as non-commutative deformations of the latter.
  
  
• Investigation of the properties of supesymmetric field theories and their application to the construction of supersymmetric generalization of the Standard Model and Grand Unified theories. Analysis of the renormalization properties of SUSY theories in extra dimensions and with extended supersymmetry. Calculation of the radiative corrections to quark masses due to superpartners in the two-loop approximation within the MSSM.
  
  
• Study of the T-odd fragmentation functions of quarks and gluons and the factorization property of large and small distances connected with them. Application of the functions to the nucleon transversity measurements by COMPASS and HERMES collaborations and to the explanation of hyperon transversal polarization phenomena. Study of the off-forward (skewed) parton distribution functions and their application to Deeply Virtual Photoproduction processes. Calculations of hadron features and physical processes by QCD Sum Rule with nonlocal condensates. Study of spin asymmetries in diffractive production processes.
  
  
• Development of the method based on the Jost-Lehmann-Dyson integral representation for structure functions of the inelastic lepton-hadron scattering that reflects general principles of the local quantum field theory to investigate target mass effects. Derivation of new expressions for moments of structure functions in the leading order of analytic perturbation theory (APT). Application of the results obtained to analyze the experimental data for the nonsinglet structure function.
  
  Derivation of approximate formulae convenient for applications for expansion functions in the APT both in the spacelike and timelike regions.
  
  Analysis of the vector and axial-vector channels of the inclusive decay of the -lepton in the framework of the APT with summation of threshold singularities.
  
  Study of the contribution of background configurations to gluon correlators in lattice gauge theories.
  
  
• Development of the Hamiltonian description for the Lagrangian systems with noncanonical constraints. Application of the invariant quantization method to the description of fermion and boson creation in the framework of the coherent-state formalism in the models of conformal quantum field theories. Description of violated conformal and chiral symmetries in non-Abelian gauge theories.
  
  Development of the quasiclassical description of the dynamics of strong-bound many-particle systems and search of new collective states in these systems by the algebraic methods of quantum mechanics and quantum field theory.
  
  Construction of new integrable and superintegrable quantum mechanical models in the three-dimensional complex space.
  
  Application of the heat kernel technique for investigating the high temperature asymptotics of thermodynamic functions of quantum fields with allowance for nontrivial boundary conditions.
  
  
• Study of semileptonic transitions of heavy charm-charm and bottom-charm baryons into excited charmonium states.
  
  Two- and three-quark bound states in effective field theories. Light and heavy hadrons. Study of systems with two heavy quarks.
  Confinement, spontaneous chiral symmetry breaking, U_A(1) problem and hadronization in the presence of domain-structured gluon mean fields induced by singular gluon configurations (domain walls, vortices, monopoles) in QCD.
  
  Precise spectroscopy of the antiprotonic helium. Calculation of relativistic and radiative corrections to energy levels up to and including terms of order O(mc ^{2 6}). Calculation of corrections to the hyperfine splitting of levels up to and including terms of order O(mc ^{2 7}).
  
  Calculation of the ionization energy for the ground state of a helium atom and of helium-like ions with account of corrections up to and including terms of order O(mc ^{2 6}).
  
  Bound and resonant states of three-body systems within the framework of the nonrelativistic QED.
  
  Radiative transfer equation and thermodynamical instability in stellar atmosphere and accretion disks.
  
  
• Investigation of electromagnetic excitations and decays of multiquark/exotic resonances. Study of meson properties at finite temperature and chemical potential within the quark chiral model. NLO QCD analysis of polarized semi-inclusive DIS reactions and fragmentation functions. Investigation of nonperturbative (instanton) QCD effects in strong interactions at large and small momentum transfers. Study of the Casimir effect and related renorm-group invariance in quark models.

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