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题名

Leading order CFT analysis of multi-scalar theories in d > 2

作者
通讯作者Codello, A.
发表日期
2019-04-12
DOI
发表期刊
ISSN
1434-6044
EISSN
1434-6052
卷号79期号:4
摘要
We investigate multi-field multicritical scalar theories using CFT constraints on two- and three-point functions combined with the Schwinger-Dyson equation. This is done in general and without assuming any symmetry for the models, which we just define to admit a Landau-Ginzburg description that includes the most general critical interactions built from monomials of the form phi(i1)...phi(im). For all such models we analyze to the leading order of the epsilon-expansion the anomalous dimensions of the fields and those of the composite quadratic operators. For models with even m we extend the analysis to an infinite tower of composite operators of arbitrary order. The results are supplemented by the computation of some families of structure constants. We also find the equations which constrain the nontrivial critical theories at leading order and show that they coincide with the ones obtained with functional perturbative RG methods. This is done for the case m=3 as well as for all the even models. We ultimately specialize to S-q symmetric models, which are related to the q-state Potts universality class, and focus on three realizations appearing below the upper critical dimensions 6, 4 and 10/3, which can thus be nontrivial CFTs in three dimensions.
相关链接[来源记录]
收录类别
语种
英语
重要成果
NI期刊
学校署名
第一 ; 通讯
资助项目
DFG[Za 958/2-1]
WOS研究方向
Physics
WOS类目
Physics, Particles & Fields
WOS记录号
WOS:000464759500004
出版者
ESI学科分类
PHYSICS
来源库
Web of Science
引用统计
被引频次[WOS]:17
成果类型期刊论文
条目标识符http://sustech.caswiz.com/handle/2SGJ60CL/26074
专题理学院_物理系
作者单位
1.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
2.Ist Nazl Fis Nucl, Sez Bologna, Via Irnerio 46, I-40126 Bologna, Italy
3.Dipartimento Fis & Astron, Via Irnerio 46, I-40126 Bologna, Italy
4.Friedrich Schiller Univ Jena, Theoret Physikal Inst, Max Wien Pl 1, D-07743 Jena, Germany
第一作者单位物理系
通讯作者单位物理系
第一作者的第一单位物理系
推荐引用方式
GB/T 7714
Codello, A.,Safari, M.,Vacca, G. P.,et al. Leading order CFT analysis of multi-scalar theories in d > 2[J]. EUROPEAN PHYSICAL JOURNAL C,2019,79(4).
APA
Codello, A.,Safari, M.,Vacca, G. P.,&Zanusso, O..(2019).Leading order CFT analysis of multi-scalar theories in d > 2.EUROPEAN PHYSICAL JOURNAL C,79(4).
MLA
Codello, A.,et al."Leading order CFT analysis of multi-scalar theories in d > 2".EUROPEAN PHYSICAL JOURNAL C 79.4(2019).
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