11 research outputs found
Gauge Conditions for the Constrained-WZNW--Toda Reductions
There is a constrained-WZNW--Toda theory for any simple Lie algebra equipped
with an integral gradation. It is explained how the different approaches to
these dynamical systems are related by gauge transformations. Combining Gauss
decompositions in relevent gauges, we unify formulae already derived, and
explictly determine the holomorphic expansion of the conformally reduced WZNW
solutions - whose restriction gives the solutions of the Toda equations. The
same takes place also for semi-integral gradations. Most of our conclusions are
also applicable to the affine Toda theories.Comment: 12 pages, no figure
Phases and Residual Gauge Symmetries of Higgs Models
After elimination of the redundant variables, gauge theories may still
exhibit symmetries associated with the gauge fields. The role of these residual
gauge symmetries is discussed within the Abelian Higgs model and the
Georgi-Glashow model. In the different phases of these models, these symmetries
are realized differently. The characteristics of emergence and disappearance of
the symmetries are studied in detail and the implications for the dynamics in
Coulomb, Higgs, and confining phases are discussed.Comment: 30 pages, LaTeX with amsmath macros; updated to include minor
corrections in proof; email correspondence to J.W. Negele,
[email protected]