DOI: 10.1140/epjc/s2002-01034-1
Dynamical symmetry breaking in SYM theories as a non-semiclassical effect
L. BergaminInstitute for Theoretical Physics, Technical University of Vienna, Wiedner Hauptstr. 8-10, 1040 Vienna, Austria
(Received: 10 January 2002 / Revised version: 13 April 2002 / Published online: 18 October 2002)
Abstract
We study supersymmetry breaking effects in
N=1 SYM from the
point of view of
quantum effective actions. Restrictions on the geometry of the
effective
potential from superspace are known to be problematic in quantum
effective
actions, where explicit supersymmetry breaking can and must be
studied. On the
other
hand the true ground state can be determined from this effective
action,
only. We study the problem whether some parts of superspace geometry
are
still relevant
for the effective potential and discuss whether the ground states
found this
way justify a low energy approximation based on this geometry.
The answer to
both questions is negative. Essentially non-semiclassical effects
change the
behavior of the auxiliary fields completely and lead to the demand
of a
new
interpretation of superspace geometry. These non-semiclassical
effects can break
supersymmetry.
© Società Italiana di Fisica, Springer-Verlag 2002
