A New Gauge Theory Without an Elementary Photon

Oct, 1983
28 pages
Published in:
  • Annals Phys. 157 (1984) 342
Report number:
  • UR-862,
  • COO-3065-369

Citations per year

19851995200520152023010203040
Abstract: (Elsevier)
A gauge theory is formulated in two spatial dimensions different from all gauge theories previously known. Unlike quantum electrodynamics in such a space there does not exist an elementary photon in the model, even though a bound state having appropriate quantum numbers can be induced for weak coupling to a spinor field. Particularly noteworthy is the fact that despite the demonstrated covariance of the theory, there is an anomaly (i.e., noncanonical) term in the spatial transformation of the charge bearing field.
  • GAUGE FIELD THEORY: THREE-DIMENSIONAL
  • ANOMALY
  • INVARIANCE: LORENTZ
  • PHOTON: BOUND STATE
  • FIELD EQUATIONS
  • PROPAGATOR