8 research outputs found
Superfield algorithm for higher order gauge field theories
We propose an algorithm for the construction of higher order gauge field
theories from a superfield formulation within the Batalin-Vilkovisky formalism.
This is a generalization of the superfield algorithm recently considered by
Batalin and Marnelius. This generalization seems to allow for non-topological
gauge field theories as well as alternative representations of topological
ones. A five dimensional non-abelian Chern-Simons theory and a topological
Yang-Mills theory are treated as examples.Comment: 17 pages in LaTeX, improved text, published versio
Covariant quantization of infinite spin particle models, and higher order gauge theories
Further properties of a recently proposed higher order infinite spin particle
model are derived. Infinitely many classically equivalent but different
Hamiltonian formulations are shown to exist. This leads to a condition of
uniqueness in the quantization process. A consistent covariant quantization is
shown to exist. Also a recently proposed supersymmetric version for half-odd
integer spins is quantized. A general algorithm to derive gauge invariances of
higher order Lagrangians is given and applied to the infinite spin particle
model, and to a new higher order model for a spinning particle which is
proposed here, as well as to a previously given higher order rigid particle
model. The latter two models are also covariantly quantized.Comment: 38 pages, Late
Infinite spin particles
We show that Wigner's infinite spin particle classically is described by a
reparametrization invariant higher order geometrical Lagrangian. The model
exhibit unconventional features like tachyonic behaviour and momenta
proportional to light-like accelerations. A simple higher order superversion
for half-odd integer particles is also derived. Interaction with external
vector fields and curved spacetimes are analyzed with negative results except
for (anti)de Sitter spacetimes. We quantize the free theories covariantly and
show that the resulting wave functions are fields containing arbitrary large
spins. Closely related infinite spin particle models are also analyzed.Comment: 43 pages, Late
First order gauge field theories from a superfield formulation
Recently, Batalin and Marnelius proposed a superfield algorithm for master
actions in the BV-formulation for a class of first order gauge field theories.
Possible theories are determined by a ghost number prescription and a simple
local master equation. We investigate consistent solutions of these local
master equations with emphasis on four and six dimensional theories.Comment: 18 pages, Latex, no figures, references and some comments adde