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A model of uni ed quantum chromodynamics and Yang-Mills gravity

  • Based on a generalized Yang-Mills framework, gravitational and strong interactions can be unified in analogy with the unification in the electroweak theory. By gauging T(4)×[SU(3)]color in flat space-time, we have a unified model of chromo-gravity with a new tensor gauge field, which couples universally to all gluons, quarks and anti-quarks. The space-time translational gauge symmetry assures that all wave equations of quarks and gluons reduce to a Hamilton-Jacobi equation with the same effective Riemann metric tensors' in the geometric-optics (or classical) limit. The emergence of effective metric tensors in the classical limit is essential for the unified model to agree with experiments. The unified model suggests that all gravitational, strong and electroweak interactions appear to be dictated by gauge symmetries in the generalized Yang-Mills framework.
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  • [1] Hsu J P. Int. J. Mod. Phys. A, 2006, 21: 5119; arXiv:1102.2010v1 [gr-qc]; In: Symposium on the Frontiers of Physics at Millennium. eds. Wu Y L, Hsu J P. Singapore: World Scienti fic, 2001. 321-3282 Hsu J P. Eur. Phys. J. Plus, 2011, 126: 24-34; arXiv:1102.2253v1 [gr-qc]3 HUANG K. Quarks, Leptons and Gauge Field. Singapore: World Scientific, 1982. 241-2424 Marshak R E. Conceptual Foundations of Modern Particle Physics. Singapore: World Scientific, 1993. Ch. 55 Weinberg S. The Quantum Theory of Fields, Vol. II. Lon- don: Cambridge Univ. Press, 1996. 152-1576 Hsu J P. Phys. Lett. B, 1982, 119: 328-3307 Utiyama R. Phys. Rev., 1956, 101: 1597-16078 Kibble T. W. B. J. Math. Phys., 1961, 2: 212-2219 Cho Y M. Phys. Rev. D, 1976, 14: 2521-252510 Hayashi K, Nakano T. Prog. Theor. Phys., 1967, 38: 491-50711 Logunov A A. The Theory of Gravity. Translated by G. Pontecorvo. Moscow: Nauka, 200112 WU N. Commun. Theor. Phys. (Beijing China), 2004, 42:54313 Hayashi K, Shirafuji T. Phys. Rev. D, 1979, 19: 3524-355314 Fock V. The Theory of Space Time and Gravitation. New York: Pergamon Press, 1958. 163-16615 Landau L, Lifshitz E. The Classical Theory of Fields. Trans. by Hamermesh M. Cambridge: Addison-Wesley. 1951. 136-137, 312-316, 276-27716 Weinberg S. Gravitation and Cosmology. New York: John Wiley and Sons, 1972. 251-272, 25417 Ni W T. In: 100 Years of Gravity and Accelerated Frames, The Deepest Insights of Einstein and Yang-Mills. eds. Hsu J P, Fine D. Singapore: World Scientific, 2005. 47818 Hsu J P. Int. J. Mod Phys. A, 2009, 24: 5217-523319 Kim S H. Thesis, UMassDartmouth, 201120 Leibbrandt G. Rev. Mod. Phys., 1975. 47: 849-87621 WANG Q, KUANG Y P. In: Symposium on the Frontiers of Physics at Millennium. eds. Wu Y L, Hsu J P. Singapore: World Scientific, 2001. 51-59, 344-35422 KUANG Y P. arXiv:hep-ph/0201158v3; KUANG Y P, YI Y P, FU B. Phys. Rev. D, 1990, 42: 2300-230823 CHOU K C, WU Y L. Phys. Rev. D, 1996, 53: R3492- R3495 (Rapid Communication). CHOU K C, WU Y L. arXiv:hep-ph/001226424 Hsu J P. Mod. Phys. Lett. A, 2011, 26: 1707-1718; arXiv:1106.2121 [hep-th]25 WU T T, YANG C N. In: 100 Years of Gravity and Accel- erated Frames, The Deepest Insights of Einstein and Yang- Mills. eds. Hsu J P, Fine D, Singapore: World Scientific,2005. 50426 YANG C N. In: 100 Years of Gravity and Accelerated Frames, The Deepest Insights of Einstein and Yang-Mills. eds. Hsu J P, Fine D, Singapore: World Scientific, 2005.527
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HSU Jong-Ping. A model of uni ed quantum chromodynamics and Yang-Mills gravity[J]. Chinese Physics C, 2012, 36(5): 403-409. doi: 10.1088/1674-1137/36/5/005
HSU Jong-Ping. A model of uni ed quantum chromodynamics and Yang-Mills gravity[J]. Chinese Physics C, 2012, 36(5): 403-409.  doi: 10.1088/1674-1137/36/5/005 shu
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Received: 2011-06-20
Revised: 2012-01-05
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A model of uni ed quantum chromodynamics and Yang-Mills gravity

  • Department of Physics, University of Massachusetts Dartmouth North Dartmouth, MA 02747-2300, USA

Abstract: Based on a generalized Yang-Mills framework, gravitational and strong interactions can be unified in analogy with the unification in the electroweak theory. By gauging T(4)×[SU(3)]color in flat space-time, we have a unified model of chromo-gravity with a new tensor gauge field, which couples universally to all gluons, quarks and anti-quarks. The space-time translational gauge symmetry assures that all wave equations of quarks and gluons reduce to a Hamilton-Jacobi equation with the same effective Riemann metric tensors' in the geometric-optics (or classical) limit. The emergence of effective metric tensors in the classical limit is essential for the unified model to agree with experiments. The unified model suggests that all gravitational, strong and electroweak interactions appear to be dictated by gauge symmetries in the generalized Yang-Mills framework.

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