Four loop renormalization of the Gross-Neveu model

被引：45

作者：

Gracey, J. A. ^{[1
]}

Luthe, T. ^{[2
]}

Schroder, Y. ^{[3
]}

机构：

[1] Univ Liverpool, Dept Math Sci, Div Theoret Phys, POB 147, Liverpool L69 3BX, Merseyside, England

[2] Karlsruhe Inst Technol, Inst Theoret Teilchenphys, D-76131 Karlsruhe, Germany

[3] Univ Bio Bio, Grp Fis Altas Energias, Casilla 447, Chillan 3780000, Chile

来源：

PHYSICAL REVIEW D | 2016年 / 94卷 / 12期

基金：

英国科学技术设施理事会;

关键词：

ABELIAN THIRRING MODEL; CRITICAL EXPONENT-ETA; QUANTUM FIELD-THEORY; QCD BETA-FUNCTION; 1/N EXPANSION; ANOMALOUS DIMENSIONS; FEYNMAN-INTEGRALS; CRITICAL-BEHAVIOR; ARBITRARY DIMENSIONS; DIFFERENCE-EQUATIONS;

D O I：

10.1103/PhysRevD.94.125028

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We renormalize the SU(N) Gross-Neveu model in the modified minimal subtraction scheme at four loops and determine the beta function at this order. The theory ceases to be multiplicatively renormalizable when dimensionally regularized due to the generation of evanescent 4-Fermi operators. The first of these appears at three loops and we correctly take their effect into account in deriving the renormalization group functions. We use the results to provide estimates of critical exponents relevant to phase transitions in graphene.

引用

页数：18

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