663 research outputs found
Effective Action of Composite Fields for General Gauge Theories in BLT-Covariant Formalism
The gauge dependence of the effective action of composite fields for general
gauge theories in the framework of the quantization method by Batalin, Lavrov
and Tyutin is studied. The corresponding Ward identities are obtained. The
variation of composite fields effective action is found in terms of new set of
operators depending on composite field. The theorem of the on-shell gauge
fixing independence for the effective action of composite fields in such
formalism is proved. brief discussion of gravitational-vector induced
interaction for Maxwell theory with composite fields is given.Comment: Typos corrected. Latex fil
A Modified Scheme of Triplectic Quantization
A modified version of triplectic quantization, first introduce by Batalin and
Martnelius, is proposed which makes use of two independent master equations,
one for the action and one for the gauge functional such that the initial
classical action also obeys that master equation.Comment: 8 page
On Problems of the Lagrangian Quantization of W3-gravity
We consider the two-dimensional model of W3-gravity within Lagrangian
quantization methods for general gauge theories. We use the Batalin-Vilkovisky
formalism to study the arbitrariness in the realization of the gauge algebra.
We obtain a one-parametric non-analytic extension of the gauge algebra, and a
corresponding solution of the classical master equation, related via an
anticanonical transformation to a solution corresponding to an analytic
realization. We investigate the possibility of closed solutions of the
classical master equation in the Sp(2)-covariant formalism and show that such
solutions do not exist in the approximation up to the third order in ghost and
auxiliary fields.Comment: 18 pages, no figure
Superfield extended BRST quantization in general coordinates
We propose a superfield formalism of Lagrangian BRST-antiBRST quantization of
arbitrary gauge theories in general coordinates with the base manifold of
fields and antifields desribed in terms of both bosonic and fermionic
variables.Comment: LaTex, 10 page
Symplectic geometries on supermanifolds
Extension of symplectic geometry on manifolds to the supersymmetric case is
considered. In the even case it leads to the even symplectic geometry (or,
equivalently, to the geometry on supermanifolds endowed with a non-degenerate
Poisson bracket) or to the geometry on an even Fedosov supermanifolds. It is
proven that in the odd case there are two different scalar symplectic
structures (namely, an odd closed differential 2-form and the antibracket)
which can be used for construction of symplectic geometries on supermanifolds.Comment: LaTex, 1o pages, LaTex, changed conten
More on the Subtraction Algorithm
We go on in the program of investigating the removal of divergences of a
generical quantum gauge field theory, in the context of the Batalin-Vilkovisky
formalism. We extend to open gauge-algebrae a recently formulated algorithm,
based on redefinitions of the parameters of the
classical Lagrangian and canonical transformations, by generalizing a well-
known conjecture on the form of the divergent terms. We also show that it is
possible to reach a complete control on the effects of the subtraction
algorithm on the space of the gauge-fixing parameters. A
principal fiber bundle with a connection
is defined, such that the canonical transformations are gauge
transformations for . This provides an intuitive geometrical
description of the fact the on shell physical amplitudes cannot depend on
. A geometrical description of the effect of the subtraction
algorithm on the space of the physical parameters is
also proposed. At the end, the full subtraction algorithm can be described as a
series of diffeomorphisms on , orthogonal to
(under which the action transforms as a scalar), and gauge transformations on
. In this geometrical context, a suitable concept of predictivity is
formulated. We give some examples of (unphysical) toy models that satisfy this
requirement, though being neither power counting renormalizable, nor finite.Comment: LaTeX file, 37 pages, preprint SISSA/ISAS 90/94/E
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