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Quantum Hall Physics Equals Noncommutive Field Theory [electronic resource].

Published:
Washington, D.C. : United States. Dept. of Energy. Office of Energy Research, 2001.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description:
vp : digital, PDF file
Additional Creators:
Stanford Linear Accelerator Center, United States. Department of Energy. Office of Energy Research, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary:
In this note, we study a matrix-regularized version of non-commutative U(1) Chern-Simons theory proposed recently by Polychronakos. We determine a complete minimal basis of exact wavefunctions for the theory at arbitrary level k and rank N and show that these are in one-to-one correspondence with Laughlin-type wavefunctions describing excitations of a quantum Hall droplet composed of N electrons at filling fraction 1/k. The finite matrix Chern-Simons theory is shown to be precisely equivalent to the theory of composite fermions in the lowest Landau level, believed to provide an accurate description of the filling fraction 1/k fractional quantum Hall state. In the large N limit, this implies that level k noncommutative U(1) Chern-Simons theory is equivalent to the Laughlin theory of the filling fraction 1k quantum Hall fluid, as conjectured recently by Susskind.
Report Numbers:
E 1.99:slac-pub-8796
slac-pub-8796
Subject(s):
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Note:
Published through SciTech Connect.
08/09/2001.
"slac-pub-8796"
Rammsdonk , Mark van.
Type of Report and Period Covered Note:
Topical;
Funding Information:
AC03-76SF00515
View MARC record | catkey: 14710754