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

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dc.creatorPruisken, A. M. M.
dc.creatorBaranov, M. A.
dc.creatorVoropaev, M.
dc.date2000-12-30
dc.date.accessioned2026-07-07T02:39:55Z
dc.date.available2026-07-07T02:39:55Z
dc.descriptionWe revisit the $θ$ dependence in $CP^{N-1}$ model with large $N$. We study the consequences of a recently discovered new ingredient of the instanton vacuum, i.e. the massless chiral edge excitations. Contrary to the previous believes, our results demonstrate that the large $N$ expansion displays all the fundamental features of the quantum Hall effect. This includes the {\em robust} quantization of the Hall conductance, as well as the appearance of massless bulk excitations at $θ= π$. We conclude that the quantum Hall effect is a generic feature of the instanton vacuum, i.e. for any number of field components and not just for the theory in the replica limit alone.
dc.description35 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0101003
dc.identifierhttp://arxiv.org/abs/cond-mat/0101003
dc.identifierPhys.Rev.Lett. 505 (2003) 4432
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17204
dc.subjectMesoscale and Nanoscale Physics
dc.titleThe large N theory exactly reveals the quantum Hall effect and theta-renormalization
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