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
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.
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页数:22
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