Abstract

We show how to systematically derive the rules for bosonization in two dimensions as a particular case of a duality transformation. The duality process amounts to gauging the global symmetry of the original (fermionic) theory, and constraining the corresponding field strength F μν to vanish. Integration over the Lagrange multiplier, Λ, for this constraint then reproduces the original theory, and integration over the gauge fields generates the dual theory with Λ as the new (bosonized) variable. We work through the bosonization of the Dirac fermion, the massive and massless Thirring models, and a fermion on a cylindrical spacetime as illustrative examples.

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.