Consistent Chiral Bosonization With Abelian and Nonabelian Gauge Symmetries

Apr, 1989
26 pages
Published in:
  • Nucl.Phys.B 326 (1989) 307-332
  • Published: 1989
Report number:
  • UCLA-89-TEP-17,
  • FSU-SCRI-89-46,
  • LNF-89-014-PT

Citations per year

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Abstract: (Elsevier)
An O( N ) non-abelian generalization of Siegel's action for chiral bosons coupled to gauge fields is presented. We show that the only consistent gauging of the O( N ) symmetry corresponds to that of N free Majorana-Weyl fermions. The equivalence between the quantized O( N ) chiral model without gauge fields and the free fermion theory is then established. The theory is treated as a constrained hamiltonian system in which zero-modes are carefully taken into account. Specializing to the gauged abelian case, the solution to the chiral Schwinger model is discussed in the framework of chiral bosonization.
  • FIELD THEORY: SCALAR
  • BOSON: CHIRAL
  • FIELD THEORETICAL MODEL: WESS-ZUMINO-WITTEN
  • FIELD THEORY: TWO-DIMENSIONAL
  • SYMMETRY: O(N)
  • FERMION: FIELD THEORY
  • FIELD THEORY: BOSONIZATION
  • QUANTIZATION: HAMILTONIAN FORMALISM
  • GAUGE FIELD THEORY
  • FIELD THEORETICAL MODEL: SCHWINGER