The large N theory exactly reveals the quantum Hall effect and theta-renormalization

A. M. M. Pruisken, M. A. Baranov, M. Voropaev

We revisit the $\theta$ dependence in $C{P}^{N-1}$ model with large $N$. We study the consequences of a recently discovered new ingredient of the instanton vacuum, i.e. the massless chira…