Abstract

A low-momentum path-integral bosonization method for more than two spacetime dimensions is extended in two different directions: We first consider the 2+1 dimensional case. By keeping the full momentum-dependence of the one-loop vacuum polarization tensor, we can discuss both the massive and massless fermion cases on an equal footing. Results for massless fermions coincide with the ones of a different, (operatorial) approach to the problem of bosonization for a massless fermionic field. Secondly, the bosonization of a massless fermionic field coupled to both vector and axial-vector external sources in 3+1 dimensions is developed. The resulting bosonic theory contains two antisymmetric tensor fields with non-local Kalb-Ramond-like terms plus interactions. Exact bosonization rules that take the axial anomaly into account are derived.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.