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The Hydrodynamical Limit of Quantum Hall system
D. Sreedhar Babu, R. Shankar, M. Sivakumar
We study the current algebra of FQHE systems in the hydrodynamical limit of small amplitude, long-wavelength fluctuations. We show that the algebra simplifies considerably in this…
Gauge Invariant Bosonization of Quantum Hall Systems and Skyrmions : Kinematics
Sreedhar B. Dutta, R. Shankar
We develop a systematic semiclassical approximation scheme for quantum Hall skyrmions near filling factors , which is exact in the long wavelength limit. We cons…
Coulomb Interaction and the Fermi Liquid State: Solution by Bosonization
A. Houghton, H. -J. Kwon, J. B. Marston +1
We investigate the effects of the Coulomb two-body interaction on Fermi liquids via bosonization. The Coulomb interaction is singular in the limit of low momentum transfer, and rec…
Renormalization Group Approach to Interacting Fermions
R. Shankar
The stability of nonrelativistic fermionic systems to interactions is studied within the Renormalization Group framework. A brief introduction to theory in four dimensions an…