Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-12-22
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, 1 figure, accepted for publication in International Journal of Modern Physics A
Scientific paper
In a recent paper, by exploiting the notion of Morita equivalence for field theories on noncommutative tori and choosing rational values of the noncommutativity parameter $\theta $ (in appropriate units), a general one-to-one correspondence between the $m$-reduced conformal field theory (CFT) describing a quantum Hall fluid (QHF) at paired states fillings $\nu =% \frac{m}{pm+2}$ and an Abelian noncommutative field theory (NCFT) has been established . That allowed us to add new evidence to the relationship between noncommutativity and quantum Hall fluids\cite% {ncmanybody}. On the other hand, the $m$-reduced CFT is equivalent to a system of two massless scalar bosons with a magnetic boundary interaction as introduced by Callan et al., at the so called ``magic''\ points. We are then able to describe, within such a framework, the dissipative quantum mechanics of a particle confined to a plane and subject to an external magnetic field normal to it. Here we develop such a point of view by focusing on the case $m=2$ which corresponds to a quantum Hall bilayer. The key role of a localized impurity which couples the two layers is emphasized and the effect of noncommutativity in terms of generalized magnetic translations (GMT) is fully exploited. As a result, general GMT operators are introduced, in the form of a tensor product, which act on the QHF and defect space respectively, and a comprehensive study of their rich structure is performed.
Iacomino Patrizia
Marotta Vincenzo
Naddeo Adele
No associations
LandOfFree
Dissipative quantum mechanics and Kondo-like impurities on noncommutative two-tori does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dissipative quantum mechanics and Kondo-like impurities on noncommutative two-tori, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dissipative quantum mechanics and Kondo-like impurities on noncommutative two-tori will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-191653