Massless excitations at $θ=π$ in the $CP^{N-1}$ model with large values of $N$
| dc.creator | Pruisken, A. M. M. | |
| dc.creator | Burmistrov, I. S. | |
| dc.creator | Shankar, R. | |
| dc.date | 2006-02-28 | |
| dc.date.accessioned | 2026-07-07T07:02:00Z | |
| dc.date.available | 2026-07-07T07:02:00Z | |
| dc.description | We study the instanton vacuum of the $CP^{N-1}$ model with large values of $N$ in 1+1 space-time dimensions. Unlike the longstanding claims which state that the theory always has a mass gap, we for the first time establish a complete {\em critical} theory for the transition at $θ= π$ obtained from a mapping onto the low temperature phase of the 1D Ising model. We derive a simple effective field theory in terms of 1D massless chiral fermions. Our results include, besides a diverging correlation length with an exponent $ν=1/2$, exact expressions for the $β$ functions. These expressions unequivocally demonstrate that the large $N$ expansion with varying $θ$ displays all the fundamental features of the quantum Hall effect. | |
| dc.description | Elsart class, 46 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0602653 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0602653 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108458 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Statistical Mechanics | |
| dc.title | Massless excitations at $θ=π$ in the $CP^{N-1}$ model with large values of $N$ | |
| dc.type | text |