48 research outputs found
Massless Limits of Massive Tensor Fields
In order to construct a massive tensor theory with a smooth massless limit,
we apply two kinds of gauge-fixing procedures, Nakanishi's one and the BRS one,
to two models of massive tensor field. The first is of the Fierz-Pauli (FP)
type, which describes a pure massive tensor field; the other is of the
additional-scalar-ghost (ASG) type, which includes a scalar ghost in addition
to an ordinary tensor field. It is shown that Nakanishi's procedure can
eliminate massless singularities in both two models, while the BRS procedure
regularizes the ASG model only. The BRS-regularized ASG model is most promising
in constructing a complete nonlinear theory.Comment: LaTeX, 15 pages, uses ptptex.sty and ptp-prep.st
Gauge Theory of Massive Tensor Field
In order to construct a massive tensor theory with a smooth massless limit,
we apply the Batalin-Fradkin algorithm to the ordinary massive tensor theory.
By introducing an auxiliary vector field all second-class constraints are
converted into first-class ones. We find a gauge-fixing condition which
produces a massive tensor theory of desirable property.Comment: 13 pages, LaTe
Gauging Higher Derivatives
The usual prescription for constructing gauge-invariant Lagrangian is
generalized to the case where a Lagrangian contains second derivatives of
fields as well as first derivatives. Symmetric tensor fields in addition to the
usual vector fields are introduced as gauge fields. Covariant derivatives and
gauge-field strengths are determined.Comment: 12 pages, LaTex
Gauge Theory of Massive Tensor Field II --- Covariant Expressions ---
Covariant forms are given to a gauge theory of massive tensor field. This is
accomplished by introducing another auxiliary field of scalar type to the
system composed of a symmetric tensor field and an auxiliary field of vector
type. The situation is compared to the case of the theory in which a tensor
field describes a scalar ghost as well as an ordinary massive tensor. In this
case only an auxiliary vector field is needed to give covariant expressions for
the gauge theory.Comment: 14 pages, uses ptptex.sty for LaTe
Possible Nonlinear Completion of Massive Gravity
Possible nonlinear completion of massive gravity is presented. An additional
scalar ghost contained in linear theory condensates to give rise to
positive-energy excitations.Comment: 8 page
Higher Derivatives and Canonical Formalisms
Path integral expressions for three canonical formalisms -- Ostrogradski's
one, constrained one and generalized one -- of higher-derivative theories are
given. For each fomalism we consider both nonsingular and singular cases. It is
shown that three formalisms share the same path integral expressions. In
paticular it is pointed out that the generalized canonical formalism is
connected with the constrained one by a canonical transformation.Comment: 13pages Latex fil