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

2002/06/30 by Jinwu Ye
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #cond-mat.str-el #hep-th

paper · pdf · doi:10.1088/0953-8984/16/25/007

published as J.Phys.Condens.Matter 16 (2004) 4465-4476 · 8 pages, 4 figures, published version

openalex publication_date 2004/06/08 · arxiv created 2004/07/04 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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.

Citations

• Tunneling into the Edge of a Compressible Quantum Hall State
• Quantum fluctuation generated vortices, dual singular-gauge transformation, and zero-temperature transition fromd-wave superconductor to underdoped regime
• Effects of weak disorders on quantum Hall critical points
• Nonabelions in the fractional quantum hall effect