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Fields and Particles

• Investigation of divergences in supersymmetric theories in extra dimensions, analysis of the fixed points in RG equations. Investigation of possibilities of detecting supersymmetry in astrophysical experiments on dark matter searches.
  
  Investigation of the P-odd effects in the Compton scattring at low energies: possibility of an experimental test when using a laser photon.
  
  
• 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. Prediction on this basis of spin asymmetries at these setups. Study of spin asymmetries in diffractive production processes.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.
  
  
• Investigation of possibilities of Fourier transformation for analysis of QCD functions in the nonperturbative domain. Study of the "infrared problem of large instantons" within an analytic approach to QCD.
  
  The transfer matrix approach and the study of fermionic observables in the lattice QCD.
  
  
• Development of the Hamiltonian description for the Lagrangian systems with noncanonical constraints. Description of the cosmological creation in the framework of the models of conformal quantum field theories and gravity.
  Description of violated conformal symmetry in non-Abelian gauge theories.
  
  
• Study of the CP-violation in the B_c-decays. Calulation of the branching ratios of the B_c⁺ D_s⁺ D ⁰ and B_c⁺ D_s^{+ 0} within a relativistic quark model aiming to check whether it would be possible to extract the CKM angle through amplitude relations.
  
  
• Investigation of the multiquark and exotic quark-gluon configurations in hadron resonances. Study of the meson properties at finite temperature and chemical potential, construction of the QCD phase diagram in quark models with quark confinement. Description of the symmetric phase, the phase with broken chiral symmetry, the phase of color superconductivity. Investigation of the processes in quark-gluon plasma and in hadron gas resulting from heavy ion collisions.
  
  Study of the nonperturbative (instanton) QCD effects in strong interactions at large and small momentum transfers. Effects of soft nonperturbative gluons in the Drell-Yan process and deep inelastic process. QCD analysis of the polarized semi-inclusive deep inelastic reactions and fragmentation functions.

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