Gauge-invariant Green function in 3+1 dimensional QED (QCD) and 2+1 dimensional Abelian (Non-Abelian) Chern-Simon theory
Jinwu Ye
Abstract
By applying the simple and effective method developed to study the 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 Fractional Quantum Hall effect are briefly discussed.
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