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Research Articles

Charged boson-fermion system as cosmic dark energy

  • XIAO Weinan ,
  • YE Xuan ,
  • ZHANG Yang ,
  • A. Marcianò
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  • 1 Department of Astronomy, University of Science and Technology of China, Hefei 230026, China;
    2 Department of Physics, Fudan University, Shanghai 200433, China

Received date: 2023-10-26

  Revised date: 2024-04-22

  Online published: 2024-05-22

Abstract

The physical origin of the observed acceleration of the universe has not been well understood. Within the framework of general relativity, dark energy is commonly introduced as being independent of other cosmic components, but such models have certain arbitrariness. In this paper, we consider a low-temperature system for dark energy based on the standard model of particle physics. This system consists of a charged boson condensate, a degenerate fermion gas, and a non-electromagnetic U(1) gauge field that couples both components and is constrained by charge conservation. The charged boson condensate has negative pressure and acts as dark energy, while the degenerate Fermi gas with opposite charge is a secondary component. With this boson-fermion system, we find that the accelerating cosmic expansion occurs for a broad range of model parameters. The dust component decreases with the expansion, the energy density of the boson-fermion component remains nearly constant, and the acceleration occurs at a redshift z ~0.7. Within the reasonable parameter space, this model provides a good explanation for the observational data of type Ia supernova and baryon acoustic oscillations.

Cite this article

XIAO Weinan , YE Xuan , ZHANG Yang , A. Marcianò . Charged boson-fermion system as cosmic dark energy[J]. Journal of University of Chinese Academy of Sciences, 2025 , 42(6) : 729 -737 . DOI: 10.7523/j.ucas.2024.029

References

[1] Riess A G, Filippenko A V, Challis P, et al. Observational evidence from supernovae for an accelerating universe and a cosmological constant [J]. The Astronomical Journal, 1998, 116(3): 1009-1038. DOI:10.1086/300499.
[2] Perlmutter S, Aldering G, Goldhaber G, et al. Measurements of Ω and Λ from 42 high-redshift supernovae [J]. The Astrophysical Journal, 1999, 517 (2): 565-586. DOI:10.1086/307221.
[3] Suzuki N, Rubin D, Lidman C, et al. The Hubble space telescope cluster supernova survey. v. improving the dark-energy constraints above z > 1 and building an early-type-hosted supernova sample [J]. The Astrophysical Journal, 2012, 746(1): 85. DOI:10. 1088/0004-637x/746/1/85.
[4] Hinshaw G, Larson D, Komatsu E, et al. Nine-year wilkinson microwave anisotropy probe (wmap) observations: cosmological parameter results [J]. The Astrophysical Journal Supplement Series, 2013, 208(2): 19. DOI:10.1088/0067-0049/208/2/19.
[5] Aghanim N, Akrami Y, Ashdown M, et al. Planck 2018 results VI. Cosmological parameters [J]. Astronomy & Astrophysics, 2020, 641: A6. DOI:10.1051/0004-6361/201833910.
[6] Alam S, Aubert M, Avila S, et al. Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: cosmological implications from two decades of spectroscopic surveys at the Apache Point Observatory [J]. Physical Review D, 2021, 103(8): 083533. DOI:10.1103/PhysRevD.103.083533.
[7] Yang X H, Chu Y Q. Populating galaxies in dark matter halos [J]. Journal of the Graduate School of the Chinese Academy of Sciences, 2008, 25(5): 712-720. DOI:10.7523/j.issn.2095-6134.2008.5.022.
[8] Copeland E J, Sami M, Tsujikawa S. Dynamics of dark energy [J]. International Journal of Modern Physics D, 2006, 15(11): 1753-1935. DOI: 10.1142/ s021827180 600942x.
[9] Zlatev I, Wang L M, Steinhardt P J. Quintessence, cosmic coincidence, and the cosmological constant [J]. Physical Review Letters, 1999, 82(5): 896-899. DOI:10.1103/PhysRevLett.82.896.
[10] Singh P, Sami M, Dadhich N. Cosmological dynamics of a phantom field [J]. Physical Review D, 2003, 68(2): 023522. DOI: 10.1103/PhysRevD.68. 023522.
[11] Zhang Y. Origin of the negative pressure for relativistic boson condensate [J]. Chinese Physics Letters, 2000, 17(1): 76-78. DOI:10.1088/0256-307x/ 17/1/026.
[12] Zheng J, Cao S, Lian Y J, et al. Revisiting Chaplygin gas cosmologies with the recent observations of high-redshift quasars [J]. The European Physical Journal C, 2022, 82(7): 582. DOI:10.1140/epjc/s10052-022-10517-4.
[13] Zhang Y, Xia T Y, Zhao W. Yang-Mills condensate dark energy coupled with matter and radiation [J]. Classical and Quantum Gravity, 2007, 24(13): 3309-3337. DOI:10.1088/0264-9381/24/13/011.
[14] Xia T Y, Zhang Y. 2-loop quantum Yang-Mills condensate as dark energy [J]. Physics Letters B, 2007, 656(1/2/3): 19-24. DOI:10.1016/j.physletb.2007.09. 046.
[15] Wang S, Zhang Y, Xia T Y. The three-loop Yang-Mills condensate dark energy model and its cosmological constraints [J]. Journal of Cosmology and Astroparticle Physics, 2008, 2008(10): 37. DOI:10. 1088/1475-7516/2008/10/037.
[16] Wang S, Zhang Y. Alleviation of cosmic age problem in interacting dark energy model [J]. Physics Letters B, 2008, 669(3/4): 201-205.DOI:10.1016/j. physletb. 2008.09.055.
[17] Zhao W. Attractor solution in coupled Yang-Mills field dark energy models [J]. International Journal of Modern Physics D, 2009, 18(9): 1331-1342. DOI:10. 1142/s0218271809014947.
[18] Donà P, Marcianò A, Zhang Y, et al. Yang-Mills condensate as dark energy: a nonperturbative approach [J]. Physical Review D, 2016, 93(4): 043012. DOI:10.1103/PhysRevD.93.043012.
[19] 潘宇, 李力, 曹硕, 等. H(z)数据对相互作用暗能量模型的观测研究[J].天文学报, 2015, 56(4): 317-325. DOI:10.15940/j.cnki.0001-5245.2015.04.001.
[20] Zhang Y. Strong energy condition of simple gauge field system [J]. Chinese Physics Letters, 1998,15(8): 622-624. DOI: 10.1088/0256-307x/15/8/029.
[21] Parker L, Zhang Y. Ultrarelativistic Bose-Einstein condensation in the Einstein universe and energy conditions [J]. Physical Review D, Particles and Fields, 1991, 44(8): 2421-2431. DOI:10.1103/PhysRevD.44. 2421.
[22] Parker L, Zhang Y. Relativistic condensate as a source for inflation [J]. Physical Review D, 1993, 47(2): 416-420. DOI:10.1103/PhysRevD.47.416.
[23] Parker L, Zhang Y. Cosmological perturbations of a relativistic condensate [J]. Physical Review D, Particles and Fields, 1995, 51(6): 2703-2712. DOI:10. 1103/PhysRevD.51.2703.
[24] Walecka J D. The relativistic neclear many-body poblem[M]//New Vistas in Nuclear Dynamics. Boston, MA: Springer US, 1986: 229-271. DOI: 10. 1007/978-1-4684-5179-5_8.
[25] Fetter A L, Walecka J D. Quantum theroy of many particle systems[M]. New York: McGraw-Hill Press, 1971: 33-289.
[26] Haber H E, Weldon H A. Finite-temperature symmetry breaking as Bose-Einstein condensation [J]. Physical ReviewD, 1982, 25(2): 502-525. DOI:10.1103/ PhysRevD.25.502.
[27] Kapusta J I. Bose-Einstein condensation, spontaneous symmetry breaking, and gauge theories [J]. Physical Review D, 1981, 24(2): 426-439. DOI:10.1103/ PhysRevD. 24. 426.
[28] Kapusta J I, Gale C. Finite-temperature field theory: principles and applications[M]. 2nd ed. Cambridge, uk: Cambridge University Press, 2006.
[29] Dodelson S, Widrow L M. Baryogenesis in a baryon-symmetric universe [J]. Physical Review D, Particles and Fields, 1990, 42(2): 326-342. DOI:10.1103/ PhysRevD.42.326.
[30] Bernstein J, Dodelson S. Relativistic Bose gas [J]. Physical Review Letters, 1991, 66(6): 683-686. DOI:10.1103/PhysRevLett.66.683.
[31] Walecka J D. A theory of highly condensed matter [J]. Annals of Physics, 1974, 83(2): 491-529. DOI: 10. 1016/0003-4916(74)90208-5.
[32] Linde A D. High-density and high-temperature symmetry behavior in gauge theories [J]. Physical Review D, 1976, 14(12): 3345-3349. DOI:10.1103/ PhysRevD.14.3345.
[33] Linde A D. Classical Yang-Mills solutions, condensation of W mesons and symmetry of composition of superdense matter[J]. Physics Letters B, 1979, 86(1): 39-42. DOI:10.1016/0370-2693(79) 90616-6.
[34] Linde A D. Phase transitions in gauge theories and cosmology [J]. Reports on Progress in Physics, 1979, 42(3): 389-437. DOI:10.1088/0034-4885/42/3/001.
[35] Zhang Y. Energy conditions of charged boson condensate and degenerate fermions [J]. Communications in Theoretical Physics, 1998, 30(4): 603-608. DOI: 10.1088/0253-6102/30/4/603.
[36] Reid M J, Pesce D W, Riess A G. An improveddistance to NGC 4258 and its implications for the Hubble constant [J]. The Astrophysical Journal Letters, 2019, 886(2): L27. DOI:10. 3847/2041-8213/ab552d.
[37] Pesce D W, Braatz J A, Reid M J, et al. The megamaser cosmology project. XIII. combined Hubble constant constraints [J]. The Astrophysical Journal Letters, 2020, 891(1): L1. DOI:10.3847/2041-8213/ab75f0.
[38] Wong K C, Suyu S H, Chen G C F, et al. H0LiCOW-XIII. A 2.4 per cent measurement of H0 from lensed quasars:5.3σ tension between early-and late-Universe probes [J]. Monthly Notices of the Royal Astronomical Society, 2020, 498(1): 1420-1439. DOI: 10.1093/mnras/stz3094.
[39] Fu Z W, Zhang Y, Tong M L. Observational constraints on a Yang-Mills condensate dark energy model [J]. Classical and Quantum Gravity, 2011, 28(22):225017. DOI:10.1088/0264-9381/28/22/225017.
[40] Lian Y J, Cao S, Biesiada M, et al. Probing modified gravity theories with multiple measurements of high-redshift quasars [J]. Monthly Notices ofthe Royal Astronomical Society, 2021, 505(2): 2111-2123. DOI: 10.1093/mnras/stab1373.
[41] Scolnic D M, Jones D O, Rest A, et al. The complete light-curve sample of spectroscopically confirmed SNe Ia from Pan-STARRS1 and cosmological constraints from the combined pantheon sample [J]. The Astrophysical Journal, 2018, 859(2): 101. DOI: 10.3847/1538-4357/aab9bb.
[42] Eisenstein D J, Zehavi I, Hogg D W, et al. Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies [J]. The Astrophysical Journal, 2005, 633(2): 560-574. DOI:10.1086/466512.
[43] Alam S, Ata M, Bailey S, et al. The clustering of galaxies in the completed SDSS-Ⅲ Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample [J]. Monthly Notices of the Royal Astronomical Society, 2017, 470(3): 2617-2652. DOI: 10.1093/mnras/stx721.
[44] Ata M, Baumgarten F, Bautista J, et al. The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: first measurement of baryon acoustic oscillations between redshift 0.8 and 2.2 [J]. Monthly Notices of the Royal Astronomical Society, 2018, 473(4): 4773-4794. DOI: 10.1093/mnras/stx2630.
[45] De Sainte Agathe V, Balland C, du Mas des Bourboux H, et al. Baryon acoustic oscillations at z=2.34 from the correlations of Lyα absorption in eBOSS DR14 [J]. Astronomy & Astrophysics, 2019, 629: A85. DOI: 10. 1051/0004-6361/20193 5638.
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