ITP OpenIR  > SCI期刊论文
Yang, RQ; An, YS; Niu, C3,4; Zhang, CY; Kim, KY
More on complexity of operators in quantum field theory
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
AbstractRecently it has been shown that the complexity of SU(n) operator is determined by the geodesic length in a bi-invariant Finsler geometry, which is constrained by some symmetries of quantum field theory. It is based on three axioms and one assumption regarding the complexity in continuous systems. By relaxing one axiom and an assumption, we find that the complexity formula is naturally generalized to the Schatten p-norm type. We also clarify the relation between our complexity and other works. First, we show that our results in a bi-invariant geometry are consistent with the ones in a right-invariant geometry such as k-local geometry. Here, a careful analysis of the sectional curvature is crucial. Second, we show that our complexity can concretely realize the conjectured pattern of the time-evolution of the complexity: the linear growth up to saturation time. The saturation time can be estimated by the relation between the topology and curvature of SU(n) groups.
2019
ISSN1029-8479
Issue3Pages:161
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
DOI10.1007/JHEP03(2019)161
Indexed BySCIE
Citation statistics
Cited Times:10[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/23462
CollectionSCI期刊论文
Affiliation1.Korea Inst Adv Study, Quantum Universe Ctr, Seoul 130722, South Korea
2.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
4.Jinan Univ, Dept Phys, Guangzhou 510632, Guangdong, Peoples R China
5.Jinan Univ, Siyuan Lab, Guangzhou 510632, Guangdong, Peoples R China
6.Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China
7.Fudan Univ, Ctr Field Theory & Particle Phys, Shanghai 200433, Peoples R China
8.Gwangju Inst Sci & Technol, Sch Phys & Chem, Gwangju 61005, South Korea
Recommended Citation
GB/T 7714
Yang, RQ,An, YS,Niu, C,et al. More on complexity of operators in quantum field theory[J]. JOURNAL OF HIGH ENERGY PHYSICS,2019(3):161.
APA Yang, RQ,An, YS,Niu, C,Zhang, CY,&Kim, KY.(2019).More on complexity of operators in quantum field theory.JOURNAL OF HIGH ENERGY PHYSICS(3),161.
MLA Yang, RQ,et al."More on complexity of operators in quantum field theory".JOURNAL OF HIGH ENERGY PHYSICS .3(2019):161.
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