Review of electron-electron interaction effects in planar Dirac liquids

DOI10.1134/S0040577919080130zbMath1428.81133OpenAlexW2971466968WikidataQ127310468 ScholiaQ127310468MaRDI QIDQ2286424

S. Teber, Anatoly V. Kotikov

Publication date: 22 January 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577919080130

zbMATH Keywords

perturbation theorygrapheneelectron-electron interaction

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Electromagnetic interaction; quantum electrodynamics (81V10) Renormalization group methods applied to problems in quantum field theory (81T17) Statistical mechanics of nanostructures and nanoparticles (82D80)

Uses Software

• FORM
• LiteRed
• Forcer

Cites Work

• Six loop analytical calculation of the field anomalous dimension and the critical exponent \(\eta\) in \(\operatorname{O}(n)\)-symmetric \(\phi^{4}\) model
• Proof of the Bogoliubov-Parasiuk theorem on renormalization
• Über die Multiplikation der Kausalfunktionen in der Quantentheorie der Felder
• Twist-2 at seven loops in planar \( \mathcal{N} =4\) SYM theory: full result and analytic properties
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• The five-loop beta function of Yang-Mills theory with fermions
• Complete renormalization of QCD at five loops
• The five-loop beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• Five-loop renormalisation of QCD in covariant gauges
• The method of uniqueness and the optical conductivity of graphene: new application of a powerful technique for multiloop calculations
• Convergence of Bogoliubov's method of renormalization in momentum space
• HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
• Cyclotron Resonance and de Haas-van Alphen Oscillations of an Interacting Electron Gas
• Some exact results for N-point massive Feynman integrals
• The Band Theory of Graphite
• \textsc{Forcer}, a \textsc{Form} program for the parametric reduction of four-loop massless propagator diagrams

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