1108.0214 (Gaber Faisel et al.)

Dynamical Symmetry Breaking with Four-Superfield Interactions    [PDF]

Gaber Faisel, Dong-Won Jung, Otto C. W. Kong

We investigate the dynamical mass generation resulted from interaction terms
with four chiral superfields. The kind of interactions maybe considered a
supersymmetric generalization of the four-fermion interactions of the classic
Nambu--Jona-Lasinio model. A four-superfield interaction that contains a
four-fermion interaction as one of its component terms has been the standard
supersymmetrization of the NJL model for decades. Recently, we introduced a
holomorphic variant with a dimension five interaction term instead. The latter
is a main target of the present analysis. With the introduction of a new
perspective on the superfield gap equation, we derive it for each one of the
four-superfield interactions, using the supergraph technique. Through analyzing
solutions to the gap equations, we illustrate the dynamical generation of
superfield Dirac mass, including a supersymmetry breaking part. A dynamical
symmetry breaking generally goes along with the dynamical mass generation, for
which a bi-superfield condensate is responsible. The explicit illustration of
dynamical symmetry breaking from the holomorphic dimension five interaction is
reported for the first time. It has rich and novel features, which would be
easily missed without the superfield approach developed here. We also discuss
the nature of the bi-superfield condensate and its role of the effective Higgs
superfield picture for both cases, illustrating their difference. Note that
such a holomorphic quark superfield interaction term can successful account for
the electroweak symmetry breaking with Higgs superfields as composites.

View original: http://arxiv.org/abs/1108.0214