A proposal for a generalized canonical osp(1,2) quantization of dynamical systems with constraints

The aim of this paper is to consider a possibility of constructing for arbitrary dynamical systems with first-class constraints a generalized canonical quantization method based on the osp(1,2) supersymmetry principle. This proposal can be considered as a counterpart to the osp(1,2)-covariant Lagrangian quantization method introduced recently by Geyer, Lavrov and M\"ulsch. The gauge dependence of Green's functions is studied. It is shown that if the parameter m^2 of the osp(1,2) superalgebra is not equal to zero then the vacuum functional and S-matrix depend on the gauge. In the limit $m\to 0$ the gauge independence of vacuum functional and S - matrix are restored. The Ward identities related to the osp(1,2) symmetry are derived.Comment: Revised version. To appear in Mod.Phys.Lett.

On gauge fixing in the Lagrangian formalism of superfield BRST quantization

We propose a modification of the gauge-fixing procedure in the Lagrangian method of superfield BRST quantization for general gauge theories which simultaneously provides a natural generalization of the well-known BV quantization scheme as far as gauge-fixing is concerned. A superfield form of BRST symmetry for the vacuum functional is found. The gauge-independence of the S-matrix is established.Comment: 8 pages, LATEX Includes additional Reference and relation to i

Gauge and parametrization dependence in higher derivative quantum gravity

The structure of counterterms in higher derivative quantum gravity is reexamined. Nontrivial dependence of charges on the gauge and parametrization is established. Explicit calculations of two-loop contributions are carried out with the help of the generalized renormgroup method demonstrating consistency of the results obtained.Comment: 22 pages, Latex, no figure

Gauge dependence of effective gravitational field

The problem of gauge independent definition of effective gravitational field is considered from the point of view of the process of measurement. Under assumption that dynamics of the measuring apparatus can be described by the ordinary classical action, effective Slavnov identities for the generating functionals of Green functions corresponding to a system of arbitrary gravitational field measured by means of scalar particles are obtained. With the help of these identities, the total gauge dependence of the non-local part of the one-loop effective apparatus action, describing the long-range quantum corrections, is calculated. The value of effective gravitational field inferred from the effective apparatus action is found to be gauge-dependent. A probable explanation of this result, referring to a peculiarity of the gravitational interaction, is given.Comment: Revised version as publishe

Russkai︠a︡ myslʹ.

"Ezhemi︠e︡si︠a︡chnoe literaturno-politicheskoe izdanīe" (varies slightly).Editor: V.M. Lavrov, 1880-1906; P.B. Struve, 1908-Suspended, July 1918-Dec. 1920, 1925-1926.Some issues published in 2 editions, e.g., G. 3, kn.1 (i︠a︡nv. 1882), g. 7, kn. 1 (i︠a︡nv. 1886); some issues combined, 1917-.Issues. for <1886-1896> have final section titled Bibliograficheskīĭ otdi︠e︡l, with separate contents, year-end indexes and continuous pagination within year; vols. for <1915-1917> have final section titled Kriticheskoe obozri︠e︡nīe, with separate contents and continuous pagination within year.Mode of access: Internet.A later issue, called kn. 1, was published in Paris in 1927 (publisher unknown)Latest issue consulted: 1923/1924, kn. 9/12.Description based on: G.1, kn. 4 (apr. 1880); title from t.p