Noncommutative Geometry, Quantum Hall Effect and Berry Phase
| dc.creator | Basu, B. | |
| dc.creator | Bandyopadhyay, P. | |
| dc.date | 2003-08-06 | |
| dc.date.accessioned | 2026-07-07T04:15:35Z | |
| dc.date.available | 2026-07-07T04:15:35Z | |
| dc.description | Taking resort to Haldane's spherical geometry we can visualize fractional quantum Hall effect on the noncommutative manifold $M_4 \times Z_N$ with $N>2$ and odd. The discrete space leads to the deformation of symplectic structure of the continuous manifold such that the symplectic area is given by $\triangle p.\triangle q=2πm \hbar$ with $m$ an odd integer which is related to the Berry phase and the filling factor is given by $\frac{1}{m}$. We here argue that this is equivalent to the noncommutative field theory as prescribed by Susskind and Polychronakos which is characterized by area preserving diffeomorphism. The filling factor $\frac{1}{m}$ is determined from the change in chiral anomaly and hence the Berry phase as envisaged by the star product. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0308041 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0308041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52061 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Noncommutative Geometry, Quantum Hall Effect and Berry Phase | |
| dc.type | text |