Gauge invariance and the electromagnetic current of composite pions
- Hampton Univ., VA (United States). Dept. of Physics
- Kent State Univ., OH (United States). Center for Nuclear Research
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 {bar q}q pion modes at tree level. A well-defined truncation issued 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.
- Research Organization:
- Washington Univ., Seattle, WA (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
- DOE Contract Number:
- FG06-90ER40561
- OSTI ID:
- 10128227
- Report Number(s):
- DOE/ER/40561-116; ON: DE94007266; IN: INT93-00-41; BR: 35KB01000/KB0300000; CNN: Grant HRD91-54080; Grant PHY91-13117
- Resource Relation:
- Other Information: PBD: 24 Mar 1993
- Country of Publication:
- United States
- Language:
- English
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