Gauge field fluctuation corrected QED3 effective action by fermionic particle-vortex duality

A bstract We present a non-perturbative framework for incorporating gauge field fluctuations into effective actions of QED 3 in the infrared using fermionic particle-vortex duality. This approach is demonstrated through the applications to models containing N species of 2-component Dirac fermions in...

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Published inThe journal of high energy physics Vol. 2024; no. 5; pp. 134 - 26
Main Author Hsiao, Wei-Han
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 13.05.2024
Springer Nature B.V
SpringerOpen
Subjects
Classical and Quantum Gravitation
Duality in Gauge Field Theories
Effective Field Theories
Electromagnetism
Elementary Particles
Fermions
Field Theories in Lower Dimensions
Gauges
Magnetic fields
Magnetic permeability
Nonperturbative Effects
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Symmetry
Wave functions
Yang-Mills theory
Field Theories in Lower Dimensions
Duality in Gauge Field Theories
Effective Field Theories
Nonperturbative Effects
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Summary:A bstract We present a non-perturbative framework for incorporating gauge field fluctuations into effective actions of QED 3 in the infrared using fermionic particle-vortex duality. This approach is demonstrated through the applications to models containing N species of 2-component Dirac fermions in solvable and interpretable electromagnetic backgrounds, focusing on N = 1 or 2. For the N = 1 model, we establish a correspondence between fermion Casimir energy at finite density and the magnetic Euler-Heisenberg Lagrangian, and further evaluate the corrections to their amplitudes. This predicts amplification of charge susceptibility and reduction of magnetic permeability. We additionally provide physical interpretations for each component of our calculation and offer alternative derivations based on energy density measurements in different characteristic lengths. For N = 2, we show that magnetic catalysis is erased in a U(1) × U(1) QED 3 , indicating no breakdown of chiral symmetry. Reasoning is offered based on the properties of the lowest Landau level wave functions.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2024)134