100 research outputs found
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 formulation of the Lagrangian BRST quantization method
Lagragian quantization rules for general gauge theories are proposed on a
basis of a superfield formulation of the standard BRST symmetry. Independence
of the -matrix on a choice of the gauge is proved. The Ward identities in
terms of superfields are derived.Comment: 9 pages, Latex, no figure
On the Non-relativistic Limit of Linear Wave Equations for Zero and Unity Spin Particles
The non-relativistic limit of the linear wave equation for zero and unity
spin bosons of mass in the Duffin-Kemmer-Petiau representation is
investigated by means of a unitary transformation, analogous to the
Foldy-Wouthuysen canonical transformation for a relativistic electron. The
interacting case is also analyzed, by considering a power series expansion of
the transformed Hamiltonian, thus demonstrating that all features of particle
dynamics can be recovered if corrections of order are taken into
account through a recursive iteration procedure.Comment: 10 page
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
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
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