Hidden symmetries in two dimensional field theory

Citations of this article
Mendeley users who have this article in their library.
Get full text


The bosonization process elegantly shows the equivalence of massless scalar and fermion fields in two space-time dimensions. However, with multiple fermions the technique often obscures global symmetries. Witten's non-Abelian bosonization makes these symmetries explicit, but at the expense of a somewhat complicated bosonic action. Frenkel and Kac have presented an intricate mathematical formalism relating the various approaches. Here, I reduce these arguments to the simplest case of a single massless scalar field. In particular, using only elementary quantum field theory concepts, I expose a hidden SU (2) × SU (2) chiral symmetry in this trivial theory. I then discuss in what sense this field should be interpreted as a Goldstone boson. © 2006 Elsevier Inc. All rights reserved.




Creutz, M. (2006). Hidden symmetries in two dimensional field theory. Annals of Physics, 321(12), 2782–2792. https://doi.org/10.1016/j.aop.2006.01.003

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free