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Elementary particle physics, quantum electrodynamics, gravitational
radiation, analysis of asymptotics, symmetry in particle and field theory
The main results:
The theory of pion photoproduction and photon scattering on nucleons
with consideration of excited states of nucleons.
Angular polynomials-matrices for angular and polarization analysis of
nuclear reactions.
Inhomogeneous Lorentz group and relativistic kinematics of spin and
polarized states.
Neutrino photoproduction on electrons and its role in the energy balance
of stars and in bursts of Supernovas.
Fundamental QED processes in intense field (with A.Nikishov).
Notion of quasienergy, shift and splitting of atomic levels in
oscillating field.
Two-loop Lagrange function of intense electromagnetic field, connection
with QED at small distances.
Mass operator, shift and splitting of mass of electron in intense field,
the dependencies of anomalous magnetic moment and induced electric moment
on field and momentum.
Method of eigenfunctions of mass operator (Ep-functions method).
Gravitational radiation of electromagnetic systems (with A.Nikishov).
Recessive (exponentially small) terms in asymptotics of integrals depending
on parameters and discovering the natural width of Stokes lines -
the forming zone of these terms (with A.Nikishov).
Physical properties of scalar and spinor field states with Rindler-Milne
(hyperbolic) symmetry.
The explanation of the doubling of anomalous magnetic moment of electron
in a very strong constant homogeneous electric field via Lande factor
The current interests:
The symmetry between the creation of pairs of bosons or fermions by accelerated
mirror in 1+1-space and the emission of single photons or scalar quanta by
accelerated electric or scalar charge in 3+1-space. The symmetry fixes the value of the
bare fine structure constant
a0=1/4p,
which smallness explains the smallness of observed fine structure constant
a and effective electromagnetic interaction for
all momentum transfers
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