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Phys. Rev. Lett. 76, 4777–4780 (1996)

Higher-Dimensional Bosonization with Nonlinear Energy Dispersion

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Peter Kopietz1 and Guillermo E. Castilla2
1Institut für Theoretische Physik der Universität Göttingen, Bunsenstrasse 9, D-37073 Göttingen, Germany
2Brookhaven National Laboratory, Upton, New York 11973

Received 20 February 1996; published in the issue dated 17 June 1996

We develop a systematic method to treat the effect of nonlinearity in the energy dispersion on the usual bosonization result for the single-particle Green's function of fermions in arbitrary dimension. The leading corrections due to the quadratic term in the energy dispersion are explicitly calculated. In the Chern-Simons theory for half-filled quantum Hall systems, curvature is shown to be essential.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.76.4777
DOI:
10.1103/PhysRevLett.76.4777
PACS:
71.27.+a, 05.30.Fk, 67.20.+k