New theory of Lorentz violation from a general principle

  • We report that a general principle of physical independence of mathematical background manifolds brings a replacement of common derivative operators by co-derivative ones. Then we obtain a new Lagrangian for the ordinary minimal standard model with supplementary terms containing the Lorentz invariance violation information measured by a new matrix, denoted as the Lorentz invariance violation matrix. We thus provide a new fundamental theory to study Lorentz invariance violation effects consistently and systematically.
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  • [1] SHAO L, MA B Q. Mod. Phys. Lett. A, 2010, 25: 3251; arXiv:1007.22692 Hestenes D, Sobczyk G. Cli ord Algebra to Geometric Calculus, Kluwer Academic, 19863 Doran C, Lasenby A. Geometric Algebra for Physicists, Cambridge University Press, 20034 ZHOU L L, MA B Q. Mod. Phys. Lett. A, 2010, 25: 24895 YANG C N, Mills R L. Phys. Rev., 1954, 96: 1916 Liberati S, Maccione L. Ann. Rev. Nucl. Part. Sci., 2009, 59: 2457 Cabibbo N. Phys. Rev. Lett., 1963, 10: 5318 Kobayashi M, Maskawa T. Prog. Theo. Phys., 1973, 49: 6529 Muller H et al. Phys. Rev. Lett., 2007, 99: 05040110 Amelino-Camelia G et al. Nature, 1998, 393: 76311 Ellis J et al. Astrophys. J., 2000, 535: 13912 Mattingly D. Living Rev. Rel., 2005, 8: 513 Amelino-Camelia G. Smolin L. Phys. Rev. D, 2009, 80: 08401714 Ellis J, Mavromatos N E, Nanopoulos D V. Phys. Lett. B, 2009, 674: 8315 XIAO Z, MA B Q. Phys. Rev. D, 2009, 80: 11600516 SHAO L, XIAO Z, MA B Q. Astropart. Phys., 2010, 33: 31217 Bietenholz W. Phys. Rept., 2011, 505: 145 [arXiv:0806.3713], arXiv:1007.226918 XIAO Z, MA B Q. Int. J. Mod. Phys. A, 2009, 24: 135919 Gurzadyan V G et al. Mod. Phys. Lett. A, 2005, 20: 1920 Gurzadyan V G et al. Il Nuovo Cimento B, 2007, 122: 51521 Gurzadyan V G et al. arXiv:1004.286722 Bocquet J P et al. Phys. Rev. Lett., 2010, 104: 24160123 ZHOU L L, MA B Q. arXiv:1009.1675
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ZHOU Ling-Li and MA Bo-Qiang. New theory of Lorentz violation from a general principle[J]. Chinese Physics C, 2011, 35(11): 987-991. doi: 10.1088/1674-1137/35/11/001
ZHOU Ling-Li and MA Bo-Qiang. New theory of Lorentz violation from a general principle[J]. Chinese Physics C, 2011, 35(11): 987-991.  doi: 10.1088/1674-1137/35/11/001 shu
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Received: 2011-03-09
Revised: 2011-03-30
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New theory of Lorentz violation from a general principle

Abstract: We report that a general principle of physical independence of mathematical background manifolds brings a replacement of common derivative operators by co-derivative ones. Then we obtain a new Lagrangian for the ordinary minimal standard model with supplementary terms containing the Lorentz invariance violation information measured by a new matrix, denoted as the Lorentz invariance violation matrix. We thus provide a new fundamental theory to study Lorentz invariance violation effects consistently and systematically.

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