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《中国物理C》(英文)编辑部
2024年10月30日

Quark confinement, new cosmic expansion and general Yang-Mills symmetry

  • We discuss a unified model of quark confinement and new cosmic expansion with linear potentials based on a general (SU3)color×(U1)baryon symmetry. The phase functions in the usual gauge transformations are generalized to new ‘action integrals’. The general Yang-Mills transformations have group properties and reduce to usual gauge transformations in special cases. Both quarks and ‘gauge bosons’ are permanently confined by linear potentials. In this unified model of particle-cosmology, physics in the largest cosmos and that in the smallest quark system appear to both be dictated by the general Yang-Mills symmetry and characterized by a universal length. The basic force between two baryons is independent of distance. However, the cosmic repulsive force exerted on a baryonic supernova by a uniform sphere of galaxies is proportional to the distance from the center of the sphere. The new general Yang-Mills field may give a field-theoretic explanation of the accelerated cosmic expansion. The prediction could be tested experimentally by measuring the frequency shifts of supernovae at different distances.
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  • [1] T D Lee, Particle Physics and Introduction to Field Theory, Harwood Academic Publishers, 1981. ch. 10
    [2] J P Hsu, Mod. Phys. Letts. A, 20:2855(2005)
    [3] J P Hsu, Cottrell K O, Chinese Phys. C. 39:(10) 105101(2015)
    [4] J P Hsu, Eur. Phys. J. Plus, 129:108(2014)
    [5] W Yourgrau, S Mandelstam, Variational Principles in Dynamics and Quantum Theory, Dover, 3rd ed, 1979. 50
    [6] A Pais and G E Uhlenbeck, Phys. Rev. 79:145(1950)
    [7] L Landau, E Lifshitz, The Classical Theory of Fields, Addison-Wesley, 1951. 29
    [8] K Huang, Quarks, Leptons and Gauge Fields. Singapore:World Scientific, 1982. 241-249.
    [9] B W Lee, Zinn-Justin J, Phys. Rev., 7:1047(1973)
    [10] E Eichten, K Gottfried, T Kinoshita, J Kogut, K D Lane, T-Y Yan, Phys. Rev. Lett., 34:369(1975)
    [11] I M Gel' fand, G E Shilov, Generalized Functions Vol. 1, New York:Academic Press, 1964. 363
    [12] G R Fowles, G L Cassiday, Analytical Mechanics. Thomson, 2005. 223-225
    [13] K C Chou, Y L Wu, Phys. Rev. D, 53:R3492(1996)
    [14] S Weinberg, The Quantum Theory of Fields Vol. 2. London:Cambridge Univ. Press, 1996. 152-157
    [15] J P Hsu, L Hsu, Space-Time Symmetry and Quantum Yang-Mills Gravity, Singapore:World Scientific, 2013. 214-215, 225
    [16] L Hsu and J P Hsu, In:Proc. of the Twelfth Asia-Pacific Int. Conf. on Gravitation and Astrophysics, Singapore:World Scientific, 2016. eds. V Melnikov and J P Hsu. 3, 369
    [17] T Y Xia, Y Zhang, Phys. Lett. B, 656:19(2007)
    [18] See, for example, N Okabe, et al, Astrophys. J. Letts, 769 ID.35(2013)
    [19] J P Hsu, Z H Ning, In:Gravitation and Astrophysics, Proc. of the VII Asia-Pacific Int. Conf., Singapore:World Scientific, 2007. eds. J M Nester, C M Chen, J P Hsu. 79-86
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Get Citation
Jong-Ping Hsu. Quark confinement, new cosmic expansion and general Yang-Mills symmetry[J]. Chinese Physics C, 2017, 41(1): 015101. doi: 10.1088/1674-1137/41/1/015101
Jong-Ping Hsu. Quark confinement, new cosmic expansion and general Yang-Mills symmetry[J]. Chinese Physics C, 2017, 41(1): 015101.  doi: 10.1088/1674-1137/41/1/015101 shu
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Received: 2016-02-17
Revised: 2016-07-12
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    Supported in part by the Jingshin Resealch Fund of the UMassD Foundation

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Quark confinement, new cosmic expansion and general Yang-Mills symmetry

    Corresponding author: Jong-Ping Hsu, jhsu@umassd.edu
  • 1. Department of Physics, University of Massachusetts Dartmouth, North Dartmouth, MA 02747-2300, USA
Fund Project:  Supported in part by the Jingshin Resealch Fund of the UMassD Foundation

Abstract: We discuss a unified model of quark confinement and new cosmic expansion with linear potentials based on a general (SU3)color×(U1)baryon symmetry. The phase functions in the usual gauge transformations are generalized to new ‘action integrals’. The general Yang-Mills transformations have group properties and reduce to usual gauge transformations in special cases. Both quarks and ‘gauge bosons’ are permanently confined by linear potentials. In this unified model of particle-cosmology, physics in the largest cosmos and that in the smallest quark system appear to both be dictated by the general Yang-Mills symmetry and characterized by a universal length. The basic force between two baryons is independent of distance. However, the cosmic repulsive force exerted on a baryonic supernova by a uniform sphere of galaxies is proportional to the distance from the center of the sphere. The new general Yang-Mills field may give a field-theoretic explanation of the accelerated cosmic expansion. The prediction could be tested experimentally by measuring the frequency shifts of supernovae at different distances.

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