Impact factor of Chinese Physics C is 3.6 in 2023 Impact factor of Chinese Physics C is 3.6 in 2022 2021 Impact Factor 2.944
Advanced Search
×
近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。
本刊再次郑重声明：
（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137
（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。
（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。
                  
《中国物理C》（英文）编辑部
2024年10月30日
Chinese Physics C> 2011, Vol. 35> Issue(3) : 233-242 DOI: 10.1088/1674-1137/35/3/005

An approach to dark energy problem through linear invariants

  •  Department of Radiologic Technology, Daegu Health College, Taejeon 1-dong, Buk-gu, Daegu 702-722, Republic of Korea;2. Division of Semiconductor and Display Engineering, College of IT Engineering, Kyungpook National University, Daegu 702-701, Republic of Korea

  • The time evolution of vacuum energy density is investigated in the coherent states of inflationary universe using a linear invariant approach. The linear invariants we derived are represented in terms of annihilation operators. On account of the fact that the coherent state is an eigenstate of an annihilation operator, the wave function in the coherent state is easily evaluated by solving the eigenvalue equation of the linear invariants. The expectation value of the vacuum energy density is derived using this wave function. Fluctuations of the scalar field and its conjugate momentum are also investigated. Our theory based on the linear invariant shows that the vacuum energy density of the universe in a coherent state is decreased continuously with time due to nonconservative force acting on the coherent oscillations of the scalar field, which is provided by the expansion of the universe. In effect, our analysis reveals that the vacuum energy density decreases in proportion to tβ where β is 3/2 for radiation-dominated era and 2 for matter-dominated era. In the case where the duration term of radiation-dominated era is short enough to be negligible, the estimation of the relic vacuum energy density agrees well with the current observational data.
      PCAS:
  • 加载中

  • References

    [1] Scranton R et al. (SDSS collaboration). Preprint astro-ph/0307335 (2003)2 Riess A G et al. (Supernova Search Team collaboration). Astron. J., 2003, 116: 10093 Perlmutter S et al. (Supernova Cosmology Project collab-oration). Astrophys. J., 1999, 517: 5654 Goldhaber G et al. (The Supernova Cosmology Project collaboration). Astrophys. J., 2001, 558: 3595 Tonry J L et al. (Supernova Search Team collaboration). Astrophys. J., 2003, 594: 16 Riess A G et al. (Supernova Search Team collaboration). Astrophys. J., 2004, 607: 6657 Riess A G et al. Astrophys. J., 2007, 659: 988 Astier P et al. (SNLS collaboration). Astron. Astrophys., 2006, 447: 319 Masi S et al. Prog. Part. Nucl. Phys., 2002, 48: 24310 Spergel D N et al. Astrophys. J. Supp., 2003, 148: 17511 Tegmark M et al. Phys. Rev. D, 2004, 69: 10350112 Choi J R. Int. J. Mod. Phys. D, 2007, 16: 111913 Guth A H, PI S Y. Phys. Rev. D, 1985, 32: 189914 GAO X C, GAO J, QIAN T Z, XU J B. Phys. Rev. D, 1996, 53: 437415 Guven J, Lieberman B, Hill C T. Phys. Rev. D, 1989, 39: 43816 Abe S. Phys. Rev. D, 1993, 47: 71817 Bertoni C, Finelli F, Venturi G. Phys. Lett. A, 1998, 237: 33118 Pedrosa I A, Furtado C, Rosas A. Phys. Lett. B, 2007, 651: 38419 Choi J R, Um C I, Kim S P. J. Korean Phys. Soc., 2004, 45: 167920 Kim S P. Preprint hep-th/9511082v1, 199521 Farley A N St J, D'Eath P D. Phys. Lett. B, 2006, 634: 41922 Blome H J, Wilson T L. Adv. Space Res., 2005, 35: 11123 Kiefer C. Nucl. Phys. B, 1990, 341: 27324 Matacz A L. Phys. Rev. D, 1994, 49: 78825 Berger B K. Phys. Rev. D, 1982, 25: 220826 Guth A, Steinhardt P. The in ationary universe, In P. C. W. Davies (Ed.), The New Physics. Cambridge: Cambridge University Press, 1989. 34-6027 Abdalla M S, Choi J R. Ann. Phys. (NY), 2007, 322: 279528 Abdalla M S, Leach P G L. J. Phys. A: Math Gen., 2005, 38: 88129 Schrade G, Man'ko V I, Schleich W P, and Glauber R J. Quantum Semicl. Opt., 1995, 7: 30730 GAO X C, XU J B, QIAN T Z. Phys. Rev. A, 1991, 44: 701631 GAO X C, XU J B, QIAN T Z. Ann. Phys. (NY), 1990, 204: 23532 de Lima A L, Rosas A, Pedrosa I A. Ann. Phys. (NY), 2008, 323: 225333 Straumann N. Lect. Notes Phys., 2007, 721: 32734 Maeda H, Harada T. Phys. Lett. B, 2005, 607: 835 Kaplinghat M, Steigman G, Tkachev I, Walker T P. Phys. Rev. D, 1999, 59: 04351436 Kolb E W, Turner M S. The Early Universe. New York: Addison-Wesley, 199037 HU B L. Phys. Rev. D, 1978, 18: 446038 Boyanovsky D, de Vega H J, Holman R. Phys. Rev. D, 1994, 49: 276939 SONG D Y. Phys. Rev. Lett., 2000, 85: 114140 Glauber R J. Phys. Rev., 1963, 131: 276641 Ali S T, Antoine J P, Gazeau J P. Coherent StatesWavelets and Their Generalisation. New York: Springer-Verlag, 200042 Tara K, Agarwal G S. Phys. Rev. A, 1994, 50: 287043 Sakharov A. Zh. Eksp. Teor. Fiz., 1965, 49: 24544 MarchiolliM A, Mizrahi S S. J. Phys. A: Math. Gen., 1997, 30: 261945 Choi J R, Yeon K H. Int. J. Mod. Phys. B, 2005, 19: 221346 Cohen H. Mathematics for Scientists Engineers. New Jersey: Prentice-Hall, 1992. 380-38147 Louisell W H. Quantum Statistical Properties of Radia-tion. New York: John Wiley and Sons, 197348 Choi J R, Kim D W. J. Korean Phys. Soc., 2004, 45: 142649 Whitrow G. Nature, 1946, 158: 16550 Amendola L, Tsujikawa S, Sami M. Phys. Lett. B, 2006, 632: 15551 Pavon D, Zimdahl W. Phys. Lett. B, 2005, 628: 20652 Olivares G, Atrio-Barandela F, Pavon D. Phys. Rev. D, 2006, 74: 04352153 WANG B, ZANG J, LIN C Y, Abdalla E, Micheletti S. Nucl. Phys. B, 2007, 778: 6954 Das S, Corasaniti P S, Khoury J. Phys. Rev. D, 2006, 73: 08350955 Coles P. Nature, 2005, 433: 24856 Weinberg S. Rev. Mod. Phys., 1989, 61: 157 Harrison E. Cosmology. Cambridge: Cambridge Univ. Press, 2000. 458-47358 McCabe G. Stud. Hist. Philos. Mod. Phys., 2005, 36: 67

  • Access

    加载中

Get Citation
Jeong Ryeol. An approach to dark energy problem through linear invariants[J]. Chinese Physics C, 2011, 35(3): 233-242. doi: 10.1088/1674-1137/35/3/005
Jeong Ryeol. An approach to dark energy problem through linear invariants[J]. Chinese Physics C, 2011, 35(3): 233-242.  doi: 10.1088/1674-1137/35/3/005 shu
Milestone
Received: 2010-05-13
Revised: 2010-06-12
Article Metric

Article Views(2628)
PDF Downloads(487)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

An approach to dark energy problem through linear invariants

  • Department of Radiologic Technology, Daegu Health College, Taejeon 1-dong, Buk-gu, Daegu 702-722, Republic of Korea;2. Division of Semiconductor and Display Engineering, College of IT Engineering, Kyungpook National University, Daegu 702-701, Republic of Korea
  • Received Date: 2010-05-13
  • Accepted Date: 2010-06-12
  • Available Online: 2011-03-05

Abstract: The time evolution of vacuum energy density is investigated in the coherent states of inflationary universe using a linear invariant approach. The linear invariants we derived are represented in terms of annihilation operators. On account of the fact that the coherent state is an eigenstate of an annihilation operator, the wave function in the coherent state is easily evaluated by solving the eigenvalue equation of the linear invariants. The expectation value of the vacuum energy density is derived using this wave function. Fluctuations of the scalar field and its conjugate momentum are also investigated. Our theory based on the linear invariant shows that the vacuum energy density of the universe in a coherent state is decreased continuously with time due to nonconservative force acting on the coherent oscillations of the scalar field, which is provided by the expansion of the universe. In effect, our analysis reveals that the vacuum energy density decreases in proportion to tβ where β is 3/2 for radiation-dominated era and 2 for matter-dominated era. In the case where the duration term of radiation-dominated era is short enough to be negligible, the estimation of the relic vacuum energy density agrees well with the current observational data.

    HTML

Reference (1)

目录

Link
IOPScience
SCOAP3
arXiv
Chinese Physical Society
Journal information
Introduction
Editorial Board
Others
Subscribe
Contact us
QQ: 1307685413
Tel: +86-010-88235947
Fax: +86-010-88233126
E-mail: cpc@ihep.ac.cn

  • CPC Website

  • IOP Website

  • CPC WeChat

Copyright © Institute of High Energy Physics, Chinese Academy of Sciences, 19B Yuquan Road, Beijing 100049, China 京ICP备05002789号-1

Supported by: Beijing Renhe Information Technology Co. Ltd  E-mail: info@rhhz.net

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return