Dynamical Gauge Boson and Strong-Weak Reciprocity

Details Dynamical Gauge Boson and Strong-Weak Reciprocity Dynamical Gauge Boson and Strong-Weak Reciprocity

1996-10-31

arxiv.org/abs/hep-th/9610244v2

Prog.Theor.Phys. 97 (1997) 665-678

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, latex, 6 eps figures, a numbers of corrections are made in the text

Scientific paper

10.1143/PTP.97.665

It is proposed that asymptotically nonfree gauge theories are 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 boson 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 cut-off theory and 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 nonfree elementary gauge theory. Using these theoretical machinery we construct a model in which asymptotic free and nonfree gauge bosons coexist and their running couplings are related by the reciprocally proportional relation.

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