# Field theoretic renormalization study of reduced quantum electrodynamics and applications to the ultrarelativistic limit of Dirac liquids

@article{Teber2018FieldTR, title={Field theoretic renormalization study of reduced quantum electrodynamics and applications to the ultrarelativistic limit of Dirac liquids}, author={S. Teber and Anatoly V. Kotikov}, journal={Physical Review D}, year={2018}, volume={97}, pages={074004} }

The field theoretic renormalization study of reduced quantum electrodynamics (QED) is performed up to two loops. In the condensed matter context, reduced QED constitutes a very natural effective relativistic field theory describing (planar) Dirac liquids, e.g., graphene and graphenelike materials, the surface states of some topological insulators, and possibly half-filled fractional quantum Hall systems. From the field theory point of view, the model involves an effective (reduced) gauge field…

## 18 Citations

Exact quantum scale invariance of three-dimensional reduced QED theories

- PhysicsPhysical Review D
- 2019

An effective quantum field theory description of graphene in the ultrarelativistic regime is given by reduced quantum electrodynamics (QED) also known as pseudo QED also known as mixed-dimensional…

Field theoretic study of electron-electron interaction effects in Dirac liquids

- Physics
- 2018

The aim of this habilitation thesis is to present recent results, obtained during the period 2012-2017, related to interaction effects in condensed matter physics systems such as planar Dirac…

Non-perturbative field theoretical aspects of graphene and related systems

- Physics
- 2021

In this article, we review the dynamics of charge carriers in graphene and related 2D systems from a quantum field theoretical point of view. By allowing the electromagnetic fields to propagate…

Review of Electron-Electron Interaction Effects in Planar Dirac Liquids

- PhysicsTheoretical and Mathematical Physics
- 2019

We review field theory studies devoted to understanding electron-electron interaction effects in condensed matter systems such as planar Dirac liquids, for example, graphene and graphene-like…

Remarks on the Chern-Simons photon term in the QED description of graphene

- PhysicsPhysical Review D
- 2018

We revisit the Coleman-Hill theorem in the context of reduced planar QED. Using the global U(1) Ward identity for this nonlocal but still gauge-invariant theory, we can confirm that the topological…

Field theoretic renormalization study of interaction corrections to the universal ac conductivity of graphene

- PhysicsJournal of High Energy Physics
- 2018

A bstractThe two-loop interaction correction coefficient to the universal ac conductivity of disorder-free intrinsic graphene is computed with the help of a field theoretic renormalization study…

Anisotropic fixed points in Dirac and Weyl semimetals

- PhysicsPhysical Review B
- 2018

The effective low energy description of interacting Dirac and Weyl semimetals is that of massless quantum electrodynamics with several Lorentz breaking material parameters. We perform a…

On marginal operators in boundary conformal field theory

- PhysicsJournal of High Energy Physics
- 2019

Abstract
The presence of a boundary (or defect) in a conformal field theory allows one to generalize the notion of an exactly marginal deformation. Without a boundary, one must find an operator of…

Landau-Khalatnikov-Fradkin transformation of the fermion propagator in massless reduced QED

- Physics
- 2020

We study the gauge-covariance of the massless fermion propagator in reduced quantum electrodynamics (QED). Starting from its value in some gauge, we evaluate an all order expression for it in another…

Supersymmetric graphene on squashed hemisphere

- PhysicsJournal of High Energy Physics
- 2021

Abstract
We compute the partition function of $$ \mathcal{N} $$
N
= 2 supersymmetric mixed dimensional QED on a squashed hemisphere using localization. Mixed dimensional QED is an abelian gauge…

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