Conformal transformation with multiple scalar fields and geometric property of field space with Einstein-like solutions

doi:10.1103/PhysRevD.104.064042

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	Conformal transformation with multiple scalar fields and geometric property of field space with Einstein-like solutions
	Tang, Yong 3; Wu, Yue-Liang
刊名	PHYSICAL REVIEW D
	2021
卷号	104 期号:6 页码:64042
关键词	INFLATION GRAVITY SYMMETRY MODELS
ISSN号	2470-0010
DOI	10.1103/PhysRevD.104.064042
英文摘要	Multiple scalar fields appear in vast modern particle physics and gravity models. When they couple to gravity nonminimally, conformal transformation is utilized to bring the theory into the Einstein frame. However, the kinetic terms of scalar fields are usually not canonical, which makes analytic treatment difficult. Here, we investigate under what conditions the theories can be transformed to the quasicanonical form, in which case the effective metric tensor in field space is conformally flat. We solve the relevant nonlinear partial differential equations for an arbitrary number of scalar fields and present several solutions that may be useful for future phenomenological model building, including the sigma model with a particular nonminimal coupling. We also find conformal flatness can always be achieved in some modified gravity theories, for example, the Starobinsky model.
学科主题	Astronomy & Astrophysics ; Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27598]
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.Univ Chinese Acad Sci UCAS, Sch Astron & Space Sci, Beijing 100049, Peoples R China 2.UCAS, Sch Fundamental Phys & Math Sci, Hangzhou Inst Adv Study, Hangzhou 310024, Peoples R China 3.Int Ctr Theoret Phys Asia Pacific, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Natl Astron Observ, Beijing 100101, Peoples R China 5.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Tang, Yong,Wu, Yue-Liang. Conformal transformation with multiple scalar fields and geometric property of field space with Einstein-like solutions[J]. PHYSICAL REVIEW D,2021,104(6):64042.
APA	Tang, Yong,&Wu, Yue-Liang.(2021).Conformal transformation with multiple scalar fields and geometric property of field space with Einstein-like solutions.PHYSICAL REVIEW D,104(6),64042.
MLA	Tang, Yong,et al."Conformal transformation with multiple scalar fields and geometric property of field space with Einstein-like solutions".PHYSICAL REVIEW D 104.6(2021):64042.