EFFECTIVE LAGRANGIAN, CASIMIR ENERGY AND CONFORMAL FIELD THEORY DESCRIPTION OF THE QUANTUM HALL EFFECT

Autor:	G. Maiella, G. Cristofano, D. Giuliano
Přispěvatelé:	Cristofano, GERARDO ANTONIO, Giuliano, D, Maiella, Giuseppe
Rok vydání:	1994
Předmět:	Physics Casimir effect Vacuum energy Conformal field theory Quantum mechanics Thermodynamic limit Other Fields of Physics Effective field theory Topological order Statistical and Nonlinear Physics Quantum Hall effect Condensed Matter Physics Central charge
Zdroj:	International Journal of Modern Physics B. :2653-2666
ISSN:	1793-6578 0217-9792
DOI:	10.1142/s0217979294001068
Popis:	By using the Girvin–MacDonald effective Lagrangian for the Hall fluid system at filling ν = 1 we are able to evaluate the ground-state energy for a cylinder of infinite length. That is done by using the topological properties of the edge vacuum in the thermodynamic limit, Ne → ∞, ν = 1 fixed, From the vacuum energy we extract the value of the Casimir energy for both filling ν = 1 and ν = 1/m. The results obtained fix the central charge c of the underlying 2D Conformal Field Theory at c = 1. This correspondence is further analyzed by using the bosonic realization of the Kac–Moody algebra on the edge vacuum. Then the off-diagonal long-range order of the effective theory can be seen as an equivalent description of the topological order typical of the 2D CFT.
Databáze:	OpenAIRE
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