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The gauge-invariant Green function in 3+1 dimensional QED (QCD) and 2+1 dimensional Abelian (non-Abelian) Chern–Simon theory

Jinwu Ye 2004 J. Phys.: Condens. Matter 16 4465-4476   doi: 10.1088/0953-8984/16/25/007  Help

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Jinwu Ye
Department of Physics and Material Research Institute, The Pennsylvania State University, University Park, PA 16802, USA

Abstract. By applying the simple and effective method developed to study the gauge-invariant fermion Green function in 2+1 dimensional non-compact QED, we study the gauge-invariant Green function in 3+1 dimensional QED and 2+1 dimensional non-compact Chern–Simon theory. We also extend our results to the corresponding SU(M) non-Abelian gauge theories. Implications for the fractional quantum Hall effect are briefly discussed.

Print publication: Issue 25 (30 June 2004)
Received 25 February 2004
Published 11 June 2004

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