Theta dependence in the large n limit of four-dimensional gauge theories

Edward Witten

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266 Scopus citations

Abstract

The θ dependence of pure gauge theories in four dimensions can be studied using a duality of large N gauge theories with string theory on a certain spacetime. Via this duality, one can argue that for every θ, there are infinitely many vacua that are stable in the large N limit. The true vacuum, found by minimizing the energy in this family, is a smooth function of θ except at θ = π where it jumps. This jump is associated with spontaneous breaking of CP symmetry. Domain walls separating adjacent vacua are described in terms of wrapped six-branes.

Original languageEnglish (US)
Pages (from-to)2862-2865
Number of pages4
JournalPhysical review letters
Volume81
Issue number14
DOIs
StatePublished - Oct 5 1998
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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