An approach to dark energy problem through linear invariants

Jeong Ryeol

doi:10.1088/1674-1137/35/3/005

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

Jeong Ryeol

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

Abstract
HTML
Reference
Related

PDF

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 t_β 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.

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

[1]	Constanza Callender , Alfonso R. Zerwekh . A dark vector resonance at CLIC. Chinese Physics C, 2019, 43(6): 063102. doi: 10.1088/1674-1137/43/6/063102
[2]	Andrea Addazi , Antonino Marcianò . Gravitational waves from dark first order phase transitions and dark photons. Chinese Physics C, 2018, 42(2): 023107. doi: 10.1088/1674-1137/42/2/023107
[3]	Rui-Yun Guo , Jing-Fei Zhang , Xin Zhang . Exploring neutrino mass and mass hierarchy in the scenario of vacuum energy interacting with cold dark matter. Chinese Physics C, 2018, 42(9): 095103. doi: 10.1088/1674-1137/42/9/095103
[4]	Andrea Addazi , Pietro Donà , Antonino Marcianò . Dynamical interactions of dark energy and dark matter: Yang-Mills condensate and QCD axions. Chinese Physics C, 2018, 42(7): 075102. doi: 10.1088/1674-1137/42/7/075102
[5]	ZHANG Shan-Shan , YANG Fu-Zhong . Mirror symmetry, D-brane superpotentials and Ooguri-Vafa invariants of Calabi-Yau manifolds. Chinese Physics C, 2015, 39(12): 121002. doi: 10.1088/1674-1137/39/12/121002
[6]	XU Feng-Jun , YANG Fu-Zhong . D-brane superpotentials and Ooguri-Vafa invariants of compact Calabi-Yau threefolds. Chinese Physics C, 2015, 39(4): 043102. doi: 10.1088/1674-1137/39/4/043102
[7]	MA Zhong-Qi , YAN Zong-Chao . Rotational invariants constructed by the products of three spherical harmonic polynomials. Chinese Physics C, 2015, 39(6): 063104. doi: 10.1088/1674-1137/39/6/063104
[8]	WANG Yuan , JIANG Xiao-Guo , YANG Guo-Jun , CHEN Si-Fu , ZHANG Zhuo , WEI Tao , LI Jin . Time-resolved energy spectrum measurement of a linear induction accelerator with the magnetic analyzer. Chinese Physics C, 2015, 39(1): 017004. doi: 10.1088/1674-1137/39/1/017004
[9]	WANG Shao-Heng , DENG Jian-Jun . Acceleration modules in linear induction accelerators. Chinese Physics C, 2014, 38(5): 057005. doi: 10.1088/1674-1137/38/5/057005
[10]	XU Feng-Jun , YANG Fu-Zhong . Off-shell superpotentials and Ooguri-Vafa invariants of type Ⅱ/F theory compactification. Chinese Physics C, 2014, 38(3): 033103. doi: 10.1088/1674-1137/38/3/033103
[11]	GENG Chao , LIU Jie , ZHANG Zhan-Gang , XI Kai , GU Song , HOU Ming-Dong , SUN You-Mei , DUAN Jing-Lai , YAO Hui-Jun , MO Dan , LUO Jie . Modeling the applicability of linear energy transfer on single event upset occurrence. Chinese Physics C, 2013, 37(6): 066001. doi: 10.1088/1674-1137/37/6/066001
[12]	YANG Min , CHEN Hao , MENG Fan-Yong , WEI Dong-Bo . Novel correction method for X-ray beam energy fluctuation of high energy DR system with a linear detector. Chinese Physics C, 2011, 35(11): 1074-1078. doi: 10.1088/1674-1137/35/11/018
[13]	D. Rozpedzik , J. Golak . Low energy electromagnetic processes based on the chiral effective field theory approach. Chinese Physics C, 2010, 34(9): 1393-1395. doi: 10.1088/1674-1137/34/9/051
[14]	Alex Chao . SLIM — a formalism for linear coupled systems. Chinese Physics C, 2009, 33(S2): 115-120. doi: 10.1088/1674-1137/33/S2/030
[15]	LI Quan-Feng , GUO Bing-Qi , ZHANG Jie-Xi , CHEN Huai-Bi . Study on the radiation problem caused by electron beam loss in accelerator tubes. Chinese Physics C, 2008, 32(7): 580-583. doi: 10.1088/1674-1137/32/7/014
[16]	Sayipjamal Dulat , LI Kang , . Landau problem in noncommutative quantum mechanics. Chinese Physics C, 2008, 32(2): 92-95. doi: 10.1088/1674-1137/32/2/003
[17]	GU Pei-Hong , BI Xiao-Jun , FENG Bo , YOUNG Bing-Lin , ZHANG Xin-Min . Detecting dark energy in long baseline neutrino oscillations. Chinese Physics C, 2008, 32(7): 530-535. doi: 10.1088/1674-1137/32/7/004
[18]	LI Di-Kai , CHEN Gang , WEI Hui-Ling . Energy dependence of non-linear dynamical features in e⁺e^－ collisions. Chinese Physics C, 2008, 32(7): 552-555. doi: 10.1088/1674-1137/32/7/008
[19]	HUANG Chao-Guang , ZHANG Hai-Qing , GUO Han-Ying . A new gravitational model for dark energy. Chinese Physics C, 2008, 32(9): 687-691. doi: 10.1088/1674-1137/32/9/002
[20]	Zhao Peiying . Analytical Approach to the Two-dimensional 0(3) Non-linear σ Model. Chinese Physics C, 1995, 19(S2): 151-155.

Access

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-05-13
Revised: 2010-06-12

Article Metric

Article Views(2670)
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

An approach to dark energy problem through linear invariants

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

An approach to dark energy problem through linear invariants

HTML

目录