Gauge invariance and the electromagnetic current of composite pions Page: 3 of 32
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March 24,1993 KSUCNR-004-93 CEBAF-TH-93-05
Gauge Invariance and the Electromagnetic Current
of Composite Pions
Department of Physics, Hampton University Hampton. Virginia 23668
Continuous Electron Beam Accelerator Facility
12000 Jefferson Avenue, Newport News, Va. 23606
Center for Nuclear Research, Department of Physics
Kent State University, Kent, Ohio 44242
The Global Color-symmetry Model of QCD is extended to deal with a background
electromagnetic field and the associated conserved current is identified for the finite
size qq pion modes at tree level. We work within a well-defined truncation that
factorizes the bilocal pion field into a local field variable and a hadronic form factor
having a ladder Bethe-Salpeter content. The associated pion charge form factor
is formulated. These developments are used to provide an illustration of how an
effective hadronic action containing form factors may be electromagnetically coupled
in a gauge invariant way that is accountable to its field substructure. In particular,
the Ward-Takahashi identity for the photon vertex appropriate to the localized pion
fields is seen to contain the hadronic form factors. In this context, gauge invariance of
the effective hadronic action also requires recognition of the fact that the free inverse
propagator for the localized pion field gauge transforms due to the substructure field
content that has been absorbed into it.
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Frank, M. R. & Tandy, P. C. Gauge invariance and the electromagnetic current of composite pions, report, March 24, 1993; United States. (https://digital.library.unt.edu/ark:/67531/metadc1318299/m1/3/: accessed April 26, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.