Logarithmic Duality of the Curvature Perturbation

doi:10.1103/PhysRevLett.131.011002

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	Logarithmic Duality of the Curvature Perturbation
	Pi, Shi 1,2; Sasaki, Misao 2,3,4
刊名	PHYSICAL REVIEW LETTERS
	2023
卷号	131 期号:1 页码:11002
关键词	INFLATIONARY UNIVERSE SCENARIO GRAVITATIONAL-INSTABILITY QUANTUM FLUCTUATIONS DYNAMICS FLATNESS HORIZON
ISSN号	0031-9007
DOI	10.1103/PhysRevLett.131.011002
英文摘要	We study the comoving curvature perturbation R in the single-field inflation models whose potential can be approximated by a piecewise quadratic potential V(phi) by using the delta N formalism. We find a general formula for R(delta phi, delta pi), consisting of a sum of logarithmic functions of the field perturbation delta phi and the velocity perturbation delta pi at the point of interest, as well as of delta pi* at the boundaries of each quadratic piece, which are functions of (delta phi, delta pi) through the equation of motion. Each logarithmic expression has an equivalent dual expression, due to the second-order nature of the equation of motion for phi. We also clarify the condition under which R(delta phi, delta pi) reduces to a single logarithm, which yields either the renowned exponential tail of the probability distribution function of R or a Gumbeldistribution-like tail.
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/311006/28016]
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.Inst Theoret Phys, Chinese Acad Sci, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.Peking Univ, Ctr High Energy Phys, Beijing 100871, Peoples R China 3.Univ Tokyo, Kavli Inst Phys & Math Universe WPI, Kashiwa, Chiba 2778583, Japan 4.Kyoto Univ, Yukawa Inst Theoret Phys, Ctr Gravitat Phys & Quantum Informat, Kyoto 6068502, Japan 5.Natl Taiwan Univ, Leung Ctr Cosmol & Particle Astrophys, Taipei 10617, Taiwan
推荐引用方式 GB/T 7714	Pi, Shi,Sasaki, Misao. Logarithmic Duality of the Curvature Perturbation[J]. PHYSICAL REVIEW LETTERS,2023,131(1):11002.
APA	Pi, Shi,&Sasaki, Misao.(2023).Logarithmic Duality of the Curvature Perturbation.PHYSICAL REVIEW LETTERS,131(1),11002.
MLA	Pi, Shi,et al."Logarithmic Duality of the Curvature Perturbation".PHYSICAL REVIEW LETTERS 131.1(2023):11002.