Critical exponents of the 3d Ising and related models from conformal bootstrap

被引：113

作者：

Gliozzi, Ferdinando ^{[1
,2
,3
,4
]}

Rago, Antonio ^{[1
,2
]}

机构：

[1] Univ Plymouth, Sch Comp Math, Plymouth PL4 8AA, Devon, England

[2] Univ Plymouth, Ctr Math Sci, Plymouth PL4 8AA, Devon, England

[3] Univ Turin, Dipartimento Fis, I-10125 Turin, Italy

[4] Ist Nazl Fis Nucl, Sez Torino, I-10125 Turin, Italy

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2014年 / 10期

关键词：

Nonperturbative Effects; Conformal and W Symmetry; REPULSIVE-CORE SINGULARITY; LEE EDGE SINGULARITY; INVARIANCE; LATTICE;

D O I：

10.1007/JHEP10(2014)042

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

he constraints of conformal bootstrap are applied to investigate a set of conformal field theories in various dimensions. The prescriptions can be applied to both unitary and non unitary theories allowing for the study of the spectrum of low-lying primary operators of the theory. We evaluate the lowest scaling dimensions of the local operators associated with the Yang-Lee edge singularity for 2 <= D <= 6. Likewise we obtain the scaling dimensions of six scalars and four spinning operators for the 3d critical Ising model. Our findings are in agreement with existing results to a per mill precision and estimate several new exponents.

引用

页数：22

共 42 条

[21] Convexity and liberation at large spin [J].