Dynamical Gauge Boson and Strong-Weak Reciprocity
Masako Bando, Yoshiaki Taniguchi, S. Tanimura · Progress of Theoretical Physics · 1997
It is proposed that asymptotically non-free gauge theories can be consistently interpreted as theories of composite gauge bosons. It is argued that when hidden local symmetry is introduced, masslessness and coupling universality of dynamically generated gauge bosons are ensured. To illustrate these ideas we take a four dimensional Grassmannian sigma model as an example and show that the model should be regarded as a cutoff theory and that there is a critical coupling at which the hidden local symmetry is restored. Propagator and vertex functions of the gauge field are calculated explicitly and existence of the massless pole is shown. The beta function determined from the Z factor of the dynamically generated gauge boson coincides with that of an asymptotic non-free elementary gauge theory. Using this theoretical machinery we construct a model in which asymptotic free and non-free gauge bosons coexist and their running couplings are related by a reciprocally proportional relation.