Quasi-normal modes and holographic renormalization of holographic preheating

CAI Yifu; LIN Shu; LIU Junyu; SUN Jiarui

doi:10.3969/j.issn.0253-2778.2020.12.007

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Open Access JUSTC Research Article

Quasi-normal modes and holographic renormalization of holographic preheating

1.
Department of Astronomy, School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China
2.
CAS Key Laboratory for Researches in Galaxies and Cosmology, University of Science and Technology of China, Hefei 230026, China
3.
School of Astronomy and Space Science, University of Science and Technology of China, Hefei 230026, China
4.
School of Physics and Astronomy, Sun Yat-Sen University, Guangzhou 510275, China
5.
Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, CA 91125, United States

Funds: We are grateful to Robert Brandenberger, Sean Carroll, Hong Lu, Antonino Marciano, Rong-Xin Miao, Wen- Yu Wen and Yi Yang for valuable scientific communications, while Yulin Hu and Rui Niu for valuable artistic communications on the figure. S. L. thanks University of Science and Technology of China (USTC) for providing a stimulating environment during the East Asia Joint Workshop on Fields and Strings and 2016 CfA@ USTC Junior Symposium on Gravitation and Cosmology. J. L. thanks the hospitality from Sun Yat- Sen University (SYSU) during his visit in the summer of 2016. Y. F. C. is supported in part by the Chinese National Youth Thousand Talents Program ( No. KJ2030220006 ), by the USTC start-up ( No. KY2030000049 ) and by NSFC ( Nos. 11421303, 11653002). S. L. is supported in part by the Chinese National Youth Thousand Talents Program and by the SYSU Junior Faculty Fund. J. L. is supported in part by Physics Department at Caltech and by the Fund for Fostering Talents in Basic Science of NSFC ( No. J1310021). J. R. S. is supported in part by NSFC (No. 11205058), the Fundamental Research Funds for Central Universities and by the Open Project Program of State Key Laboratory of Theoretical Physics at CAS ( No. Y5KF161CJ1 ). Part of numerical simulations are operated on the computer cluster LINDA in the particle cosmology group at USTC.

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https://doi.org/10.3969/j.issn.0253-2778.2020.12.007

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Corresponding author: Cai Yifu is a professor of physics and astronomy at University of Science and Technology of China (USTC). He received the PhD degree in theoretical physics at Institute of High Energy Physics in 2010. He worked as a postdoc at Arizona State University and McGill University until 2015. He was selected into the Chinese National Youth Talents Program in 2015 and became a faculty at USTC. His particle cosmology group at USTC is responsible for the scientific goals of the AliCPT project associated with cosmological models. His research focuses on fundamental questions for cosmology, namely, the big bang singularity, the origin and destiny of the universe, the cosmological perturbation theory and the CMB theory. E-mail: yifucai@ustc.edu.cn
Received Date: 08 May 2020
Accepted Date: 10 July 2020
Publish Date: 30 December 2020

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Abstract

Abstract

In the holographic description of cosmic preheating, the energy transfer between the inflaton and matter field at strong coupling is suggested to be mimicked by superfluid and normal components of a superconductor on Friedmann-Robertson-Walker (FRW) boundary in an asymptotically Anti-de Sitter (AdS) spacetime. In this paper we investigated two aspects of the scenario of holographic preheating that are not included in the accompanied work. Firstly, we study in detail the evolution of the quasi- normal modes ( QNMs) surrounding a metastable hairy black hole. This analysis can quantitatively describe the preheating process of the matter field that is produced continuously in the case of strong coupling. Secondly, we present a detailed analysis of the holographic renormalization for the AdS-FRW background, which allows us to extract operator expectation values for studying cosmological implications.

Abstract

In the holographic description of cosmic preheating, the energy transfer between the inflaton and matter field at strong coupling is suggested to be mimicked by superfluid and normal components of a superconductor on Friedmann-Robertson-Walker (FRW) boundary in an asymptotically Anti-de Sitter (AdS) spacetime. In this paper we investigated two aspects of the scenario of holographic preheating that are not included in the accompanied work. Firstly, we study in detail the evolution of the quasi- normal modes ( QNMs) surrounding a metastable hairy black hole. This analysis can quantitatively describe the preheating process of the matter field that is produced continuously in the case of strong coupling. Secondly, we present a detailed analysis of the holographic renormalization for the AdS-FRW background, which allows us to extract operator expectation values for studying cosmological implications.