Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories

Details Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories

1998-07-15

arxiv.org/abs/hep-th/9807109v1

Phys.Rev.Lett.81:2862-2865,1998

Physics

High Energy Physics

High Energy Physics - Theory

8 pp

Scientific paper

10.1103/PhysRevLett.81.2862

The theta dependent 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 theta, 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 theta except at theta equal to pi, where it jumps. This jump is associated with spontaneous breaking of CP symmetry. Domain walls separating adjacent vacua are described in terms of wrapped sixbranes.

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