Gauge-invariant Green function in 3+1 dimensional QED (QCD) and 2+1 dimensional Abelian (Non-Abelian) Chern-Simon theory

Details Gauge-invariant Green function in 3+1 dimensional QED (QCD) and 2+1 dimensional Abelian (Non-Abelian) Chern-Simon theory Gauge-invariant Green function in 3+1 dimensional QED (QCD) and 2+1 dimensional Abelian (Non-Abelian) Chern-Simon theory

2002-06-10

arxiv.org/abs/cond-mat/0206158v3

J.Phys.Condens.Matter 16 (2004) 4465-4476

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 4 figures, published version

Scientific paper

10.1088/0953-8984/16/25/007

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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