116 research outputs found
Strings And Non-Topological Solitons
We have numerically calculated topological andnon-topological solitons in two
spatial dimensions with Chern-Simons term. Their quantum stability, as well as
that of the Maxwell vortex, is analyzed by means of bounce instantons which
involve three-dimensional strings and non-topological solitons.Comment: 12 pages. 5 figure
Decoupling Transformations in Path Integral Bosonization
We construct transformations that decouple fermionic fields in interaction
with a gauge field, in the path integral representation of the generating
functional. Those transformations express the original fermionic fields in
terms of non-interacting ones, through non-local functionals depending on the
gauge field. This procedure, holding true in any number of spacetime dimensions
both in the Abelian and non-Abelian cases, is then applied to the path integral
bosonization of the Thirring model in 3 dimensions. Knowledge of the decoupling
transformations allows us, contrarily to previous bosonizations, to obtain the
bosonization with an explicit expression of the fermion fields in terms of
bosonic ones and free fermionic fields. We also explain the relation between
our technique, in the two dimensional case, and the usual decoupling in 2
dimensions.Comment: 22 pages, Late
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