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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

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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.


PACS

73.43.Cd Theory and modeling

02.30.-f Function theory, analysis

Subjects

Mathematical physics

Surfaces, interfaces and thin films

Dates

Issue 25 (30 June 2004)

Received 25 February 2004

Published 11 June 2004



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