5,365 research outputs found
Generators of Local Supersymmetry Transformation from First Class Constraints
We show how the generator of local supersymmetry transformations can be found
from Fermionic first class constraints. This is done by adapting the approaches
of Henneaux, Teit- elboim and Zanelli and of Castellani that has been used to
find the generator of gauge trans- formations from Bosonic first class
constraints. We illustrate how a supersymmetric gauge generator can be found by
considering the spinning particle. The invariances that we find are not those
presented in the original discussion of the spinning particle.Comment: nine page
A Gauge Theory that mixes Bosonic and Fermionic Gauge Fields
Using a gauge symmetry derived by applying the Dirac constraint formalism to
supergravity with cosmological term in 2+1 dimensions, we construct a gauge
theory with many characteristics of Yang-Mills theory. The gauge transformation
mixes two Bosonic fields and one Fermionic field
The Renormalization Group and the Effective Potential in the Wess-Zumino model
We consider the effective potential V in the massless Wess-Zumino model. By
using the renormalization group equation, we show that the explicit dependence
of V on the renormalization mass scale mu cancels. If V has an extremum at some
non-vanishing value of the background field, then it follows that V is "flat",
independent of the background field. This is consistent with the general
requirement that V be complex. The consequences for supersymmetric gauge
theories are briefly considered
The Non-Abelian Gauge Field Propagator in a Plane Wave Background Field
Employing methods introduced by Schwinger in quantum electrodynamics, we
compute the propagator for a non-Abelian gauge field in a plane wave background
field. In the long distance limit a mass-like term for the gauge field is
induced by this interaction
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