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

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.

8 pages, 4 figures, published version

References in corpus (3)

• Thermally generated vortices, gauge invariance and electron spectral function in the pseudo-gap regime
• Quantum generated vortices, dual singular gauge transformation and zero temperature transition from d-wave superconductor to underdoped regime
• On gauge-invariant Green function in 2+1 dimensional QED

Cited by in corpus (2)

• Quantum phases, Supersolids and quantum phase transitions of interacting bosons in frustrated lattices
• Proof of NRQCD Factorization at All Order in Coupling Constant in Heavy Quarkonium Production