General solution to the quantum master equation in the finite-dimensional case

The general solution to the quantum master equation (and its Sp(2) symmetric counterpart) is explicity constructed in the case of a finite number of variables. It is shown that the finite-dimensional solution is physically trivial and, therefore, cannot be directly extended to a local field theory. Thus, the locality condition is important in obtaining nontrivial physical results when quantizing gauge field theories in the field-antifield formalism. Translated from Teoreticheskaya i Matematicheskaya Fizika. Vol. 114. No. 2, pp. 250–270, February 1998.     

Transition to special canonical coordinates for systems with constraints

When using the Dirac hamiltonization of Lagrange systems with constraints, it is convenient to perform a canonical transformation such that the constraints become linear combinations of only a subset of the new variables, while the primary constraints can be identified with some of the variables belonging to this subset. We prove the existence of such canonical transformation, as well as the possibility of separation of first-class constraints.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 93–97, August, 1983.     

Gauge theories of general form

The dependence of the unrenormalized effective action and the generating functional of vertex functions on canonical transformations is investigated in this paper, and the construction of the effective action in gauge theories of general form is described.Tanslated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No, 7, pp, 64–66, July, 1982.The authors thank B. L. Voronov for a useful discussion of the problems discussed.     

Ionization of water clusters by collision with surface

New results of the investigations of the phenomenon of the ion formation and separation at the neutral water cluster scattering by solid surface are reported. First, molecular dynamics simulation has shown the possibility of polar dissociation of water molecules in (H ₂ O)_n cluster with n = 34 and 64 during their impact with a rigid surface. Second, the current of ions rebound from target and the current to the target at scattering of (H2O)_n clusters (up to n = 50000) by various targets are measured. Third, we have measured the water-cluster-induced electrification of the electric field mill sensor, which has been used for the rocket measurement of mesospheric electric field structure in the vicinity of noctilucent clouds (NLC). A comparison between these and rocket measurements shows that the fluctuations of the field mill signal detected when a rocket was passing the NLC layer is a result of the impact of NLC particles on the field mill electrodes.     

Dynamics of wave packets and soliton interaction in terms of the third-order nonlinear Schrödinger equation

We present the results of numerical study of the evolution of wave packets and envelope soliton interaction in terms of the third-order nonlinear Schrödinger equation. It is shown that an arbitrary initial pulse evolves to a few solitons and a linear quasiperiodic wave. The interaction of solitons is accompanied by the radiation of part of the wave field in the form of a linear quasiperiodic wave from the interaction region, amplification of the soliton with larger amplitude and attenuation of the soliton with smaller amplitude.     

Multiplicative Renormalizability of Yang-Mills Theory with the Background Field Method in the BV Formalism

Theoretical and Mathematical Physics - Studying the gauge-invariant renormalizability of four-dimensional Yang-Mills theory using the background field method and the BV formalism, we derive a...     

Extended Vector Solitons with Significantly Different Frequencies of the Polarization Components

JETP Letters - An extended vector envelope soliton with significantly different frequencies of the polarization components is found. Coupled nonlinear Schrödinger equations, which include the...