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Pseudo-Quantum Electrodynamics: 30 Years of Reduced QED
Eduardo C Marino1, Leandro O Nascimento2, Van Sérgio Alves2
1Instituto de Física, Universidade Federal do Rio de Janeiro, Rio de Janeiro 21941-972, Brazil.
Entropy (Basel, Switzerland)
|November 27, 2024
Summary
Pseudo-Quantum Electrodynamics (PQED) accurately models electromagnetic interactions for planar charged particles. This theory, distinct from QED(2+1), preserves causality and describes real-world systems like graphene.
Area of Science:
- Condensed Matter Physics
- Quantum Field Theory
- Electromagnetism
Background:
- Charged quasiparticles confined to a plane interact via 3D electromagnetic fields, creating a dimensional hybrid.
- Existing theories like Quantum Electrodynamics of a planar gauge field (QED(2+1)) do not accurately describe this hybrid system.
Purpose of the Study:
- To review Pseudo-Quantum Electrodynamics (PQED), also known as Reduced Quantum Electrodynamics.
- To highlight PQED's ability to precisely describe electromagnetic interactions in 2D systems.
Main Methods:
- PQED is a U(1) gauge field theory formulated in 2D space.
- It employs a nonlocal Lagrangian while preserving causality, unitarity, and the Huygens principle.
Main Results:
- PQED correctly reproduces the 1/r Coulomb potential between static charges, unlike QED(2+1)'s lnr potential.
- It has been successfully applied to diverse systems including graphene, silicene, and transition-metal dichalcogenides.
Conclusions:
- PQED offers a robust framework for understanding electromagnetic phenomena in 2D confined systems.
- Its applications extend to the Valley Quantum Hall Effect, systems in cavities, and (2+1)D bosonization.
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