Abstract
Quantum field theory (QFT) still is the most grounded and elaborated microscopic theory of elementary particles and their interactions. The attention to string theory and hopes related to such a theory as an unified theory of all the interactions, including gravity, do not mean that QFT is completely exhausted at present, that all the principal problem of QFT are already solved, and no reserves for futures development left. To the contrary, now the string theory and QFT coexist and complement each other very fruitfully. Methods and ideas of QFT are widely used in both in string theory and in condense matter physics. In that respect, studying proper and relevant problems in QFT we mar at the same time contribute significantly to the progress of the above mentioned theories. In the present project we plane to study problems of QFT in three following directions: 1) QFT in external backgrounds; 2)quantization problems and general theory of constrained (especially gauge) systems; 3) description of higher spins in relativistic quantum theory. (AU)
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