The effective action of (2+1)-dimensional QED: the effect of finite fermion density
Dae Kwan Kim (Seoul National University), Kwang-Sup Soh (Seoul, National University)
TL;DR
This paper calculates the effective action of (2+1)-dimensional QED at finite fermion density in a uniform electromagnetic field, linking it to phenomena like the quantum Hall effect and de Haas-van Alphen oscillations.
Contribution
It derives the effective action for (2+1)-dimensional QED with finite fermion density, connecting quantum field theory to condensed matter phenomena.
Findings
Derivation of the effective action in a uniform electromagnetic field.
Connection to the integer quantum Hall effect.
Explanation of de Haas-van Alphen-like phenomena.
Abstract
The effective action of (2+1)-dimensional QED with finite fermion density is calculated in a uniform electromagnetic field. It is shown that the integer quantum Hall effect and de Haas-van Alphen like phenomena in condensed matter physics are derived directly from the effective action.
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