More on complexity of operators in quantum field theory

doi:10.1007/JHEP03(2019)161

CORC > 理论物理研究所 > 中国科学院理论物理研究所 > 理论物理所科研产出 > 理论物理所1978-2010年知识产出

	More on complexity of operators in quantum field theory
	Yang, RQ ; An, YS ; Niu, C 5,6; Zhang, CY ; Kim, KY
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2019
期号	3 页码:161
ISSN号	1029-8479
DOI	10.1007/JHEP03(2019)161
英文摘要	Recently 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.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/23462]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China 2.Gwangju Inst Sci & Technol, Sch Phys & Chem, Gwangju 61005, South Korea 3.Korea Inst Adv Study, Quantum Universe Ctr, Seoul 130722, South Korea 4.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 6.Jinan Univ, Dept Phys, Guangzhou 510632, Guangdong, Peoples R China 7.Jinan Univ, Siyuan Lab, Guangzhou 510632, Guangdong, Peoples R China 8.Fudan Univ, Ctr Field Theory & Particle Phys, Shanghai 200433, Peoples R China
推荐引用方式 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.