Two-loop fermion self-energy in reduced quantum electrodynamics and application to the ultrarelativistic limit of graphene

被引：48

作者：

Kotikov, A. V. ^{[1
]}

Teber, S. ^{[2
,3
]}

机构：

[1] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Russia

[2] Univ Paris 06, Sorbonne Univ, UMR 7589, LPTHE, F-75005 Paris, France

[3] CNRS, UMR 7589, LPTHE, F-75005 Paris, France

来源：

PHYSICAL REVIEW D | 2014年 / 89卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

FEYNMAN DIAGRAMS; LARGE-N; UNIQUENESS; EXPANSION;

D O I：

10.1103/PhysRevD.89.065038

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We compute the two-loop fermion self-energy in massless reduced quantum electrodynamics for an arbitrary gauge using the method of integration by parts. Focusing on the limit where the photon field is four-dimensional, our formula involves only recursively one-loop integrals and can therefore be evaluated exactly. From this formula, we deduce the anomalous scaling dimension of the fermion field as well as the renormalized fermion propagator up to two loops. The results are then applied to the ultrarelativistic limit of graphene and compared with similar results obtained for four-dimensional and three-dimensional quantum electrodynamics.

引用

页数：24

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