73 research outputs found
BRST Detour Quantization
We present the BRST cohomologies of a class of constraint (super) Lie
algebras as detour complexes. By giving physical interpretations to the
components of detour complexes as gauge invariances, Bianchi identities and
equations of motion we obtain a large class of new gauge theories. The pivotal
new machinery is a treatment of the ghost Hilbert space designed to manifest
the detour structure. Along with general results, we give details for three of
these theories which correspond to gauge invariant spinning particle models of
totally symmetric, antisymmetric and K\"ahler antisymmetric forms. In
particular, we give details of our recent announcement of a (p,q)-form K\"ahler
electromagnetism. We also discuss how our results generalize to other special
geometries.Comment: 43 pages, LaTeX, added reference
-models on the quantum group manifolds , , and infinitesimal trasformations
The differential and variational calculus on the group is
constructed. The spontaneous breaking symmetry in the WZNW model with
quantum group symmetry and in the -models with
, quantum group symmetry is considered.
The Lagrangian formalism over the quantum group manifolds is discussed. The
classical solution of {}-model is obtained.Comment: LaTex, 7 page
Nonlinear Realizations of Superconformal Groups and Spinning Particles
The method of nonlinear realizations is applied for the conformally invariant
description of the spinning particles in terms of geometrical quantities of the
parameter spaces of the one dimensional N - extended superconformal groups. We
develop the superspace approach to the cases of spin 0, 1/2, 1 particles and
describe the alternative component approach in the application to the spin-1/2
particle.Comment: 8 pages, Latex, style file espcrc2.sty. Talk given at the D.V. Volkov
Memorial Conference ``Supersymmetry and Quantum Field Theory'', July 25-30,
2000, Kharkov, to be published in the Nuclear Physics B Conference
Supplement
The Spinning Particles as a Nonlinear Realizations of the Superworldline Reparametrization Invariance
The superdiffeomorphisms invariant description of - extended spinning
particle is constructed in the framework of nonlinear realizations approach.
The action is universal for all values of and describes the time evolution
of different group elements of the superdiffeomorphisms group of the
superspace. The form of this action coincides with the one-dimensional
version of the gravity action, analogous to Trautman's one.Comment: 4 pages, RevTe
The lagrangian description of representations of the Poincare group
The construction of lagrangians describing the various representations of the
Poincare group is given in terms of the BRST approach.Comment: 8 pages, Latex, style file espcrc2.sty. Talk given at the D.V. Volkov
Memorial Conference ``Supersymmetry and Quantum Field Theory'', July 25-30,
2000, Kharkov, to be published in the Nuclear Physics B Conference
Supplement
Massive Superparticle with Tensorial Central Charges
We construct the manifestly Lorenz-invariant formulation of the N=1 D=4
massive superparticle with tensorial central charges. The model contains a real
parameter k and at possesses one -symmetry while at k=0 the
number of -symmetry is two. The equivalence of the formulations at all
is obtained. The local transformations of -symmetry are
written out. It is considered the using of index spinor for construction of the
tensorial central charges. It is obtained the equivalence at classical level
between the massive D=4 superparticle with one -symmetry and the
massive D=4 spinning particleComment: 20 pages, Late
Radiation reaction and renormalization in classical electrodynamics of point particle in any dimension
The effective equations of motion for a point charged particle taking account
of radiation reaction are considered in various space-time dimensions. The
divergencies steaming from the pointness of the particle are studied and the
effective renormalization procedure is proposed encompassing uniformly the
cases of all even dimensions. It is shown that in any dimension the classical
electrodynamics is a renormalizable theory if not multiplicatively beyond d=4.
For the cases of three and six dimensions the covariant analogs of the
Lorentz-Dirac equation are explicitly derived.Comment: minor changes in concluding section, misprints corrected, LaTeX2e, 15
page
On Paragrassmann Differential Calculus
Explicit general constructions of paragrassmann calculus with one and many
variables are given. Relations of the paragrassmann calculus to quantum groups
are outlined and possible physics applications are briefly discussed. This
paper is the same as the original 9210075 except added Appendix and minor
changes in Acknowledgements and References. IMPORTANT NOTE: This paper bears
the same title as the Dubna preprint E5-92-392 but is NOT identical to it,
containing new results, extended discussions, and references.Comment: 19p
Detours and Paths: BRST Complexes and Worldline Formalism
We construct detour complexes from the BRST quantization of worldline
diffeomorphism invariant systems. This yields a method to efficiently extract
physical quantum field theories from particle models with first class
constraint algebras. As an example, we show how to obtain the Maxwell detour
complex by gauging N=2 supersymmetric quantum mechanics in curved space. Then
we concentrate on first class algebras belonging to a class of recently
introduced orthosymplectic quantum mechanical models and give generating
functions for detour complexes describing higher spins of arbitrary symmetry
types. The first quantized approach facilitates quantum calculations and we
employ it to compute the number of physical degrees of freedom associated to
the second quantized, field theoretical actions.Comment: 1+35 pages, 1 figure; typos corrected and references added, published
versio
U(N|M) quantum mechanics on Kaehler manifolds
We study the extended supersymmetric quantum mechanics, with supercharges
transforming in the fundamental representation of U(N|M), as realized in
certain one-dimensional nonlinear sigma models with Kaehler manifolds as target
space. We discuss the symmetry algebra characterizing these models and, using
operatorial methods, compute the heat kernel in the limit of short propagation
time. These models are relevant for studying the quantum properties of a
certain class of higher spin field equations in first quantization.Comment: 21 pages, a reference adde
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