Bosonization of Vector and Axial-Vector Currents in 3+1 Dimensions

Abstract

The bosonization of a massless fermionic field coupled to both vector and axial-vector external sources is developed, following a path-integral approach. The resulting bosonized theory contains two antisymmetric tensor fields whose actions consist of non-local Kalb-Ramond-like terms plus interactions. Exact bosonization rules that take the axial anomaly for the axial current into account are derived, and an approximated bosonized action is constructed.

13 pages, LateX. Typographical error corrected

References in corpus (2)

• On bosonization in $3$ dimensions
• A comment on bosonization in $d\ge 2$ dimensions

Cited by in corpus (6)

• Pure bosonic worldline path integral representation for fermionic determinants, non-Abelian Stokes theorem, and quasiclassical approximation in QCD
• Composite boson dominance in relativistic field theories
• Fermion-fermion duality in 3+1 dimensions
• Functional bosonization of a Dirac field in 2+1 dimensions, in the presence of a boundary
• Induced parity-odd effective action for a Dirac field on $S^2\times S^1$
• Bosonization in four dimensions: The smooth way