Non-Abelian bosonization and topological aspects of BCS systems

Anupam Garg, V. P. Nair, Michael Stone

Research output: Contribution to journalArticlepeer-review


It is shown that many features of the low energy behaviour of weak coupling BCS systems are topological in character. This is done by writing the BCS action as a Fermi surface sum of (1 + 1)-dimentional non-Abelian actions, each one of which can be bosonized à la Witten. This process leads to the correct current generating parts (as found by Cross) in the effective action for the gap function, and in addition a Wess-Zumino term. The mass and spin currents are calculated for the three-dimensional theory, and it is shown that upon averaging over all directions on the Fermi surface, the contribution from the Wess-Zumino term vanishes for a pure spin singlet or pure spin triplet gap, but not otherwise.

Original languageEnglish (US)
Pages (from-to)149-162
Number of pages14
JournalAnnals of Physics
Issue number1
StatePublished - Jan 1987

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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