252 research outputs found
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
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
On the consistency of the Horava Theory
With the goal of giving evidence for the theoretical consistency of the
Horava Theory, we perform a Hamiltonian analysis on a classical model suitable
for analyzing its effective dynamics at large distances. The model is the
lowest-order truncation of the Horava Theory with the detailed-balance
condition. We consider the pure gravitational theory without matter sources.
The model has the same potential term of general relativity, but the kinetic
term is modified by the inclusion of an arbitrary coupling constant lambda.
Since this constant breaks the general covariance under space-time
diffeomorphisms, it is believed that arbitrary values of lambda deviate the
model from general relativity. We show that this model is not a deviation at
all, instead it is completely equivalent to general relativity in a particular
partial gauge fixing for it. In doing this, we clarify the role of a
second-class constraint of the model.Comment: The wording has been revised in general, specially in abstract,
introduction and conclusions. No changes in results. Version published in
IJMP
Reparametrization Invariance and the Schr\"odinger Equation
In the present work we consider a time-dependent Schr\"odinger equation for
systems invariant under the reparametrization of time. We develop the two-stage
procedure of construction such systems from a given initial ones, which is not
invariant under the time reparametrization. One of the first-class constraints
of the systems in such description becomes the time-dependent Schr\"odinger
equation. The procedure is applicable in the supersymmetric theories as well.
The supersymmetric quantum mechanics is coupled to world-line
supergravity, and the local supersymmetric action is constructed leading to the
square root representation of the time-dependent Schr\"odinger equation.Comment: RevTeX,25 page
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