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Gauge Symmetries and Dirac Conjecture

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Abstract

The gauge symmetries of a constrained system can be deduced from the gauge identities with Lagrange method, or the first-class constraints with Hamilton approach. If Dirac conjecture is valid to a dynamic system, in which all the first-class constraints are the generators of the gauge transformations, the gauge transformations deduced from the gauge identities are consistent with these given by the first-class constraints. Once the equivalence vanishes to a constrained system, in which Dirac conjecture would be invalid. By using the equivalence, two counterexamples and one example to Dirac conjecture are discussed to obtain defined results.

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Authors and Affiliations

  1. Institute of Condensed Matter of Physics, Linyi Normal University, Linyi, 276005, China

    Yong-Long Wang

  2. Physics Department, Linyi Normal University, Linyi, 276005, China

    Yong-Long Wang

  3. Institute of Applied Mathematics, Linyi Normal University, Linyi, 276005, China

    Yong-Long Wang

  4. CCAST (World Laboratory), P.O. Box 8730, Beijing, 100080, China

    Zi-Ping Li

  5. College of Applied Sciences, Beijing University of Technology, Beijing, 100022, China

    Zi-Ping Li & Ke Wang

Authors
  1. Yong-Long Wang
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  2. Zi-Ping Li
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  3. Ke Wang
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Correspondence to Yong-Long Wang.

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Wang, YL., Li, ZP. & Wang, K. Gauge Symmetries and Dirac Conjecture. Int J Theor Phys 48, 1894–1904 (2009). https://doi.org/10.1007/s10773-009-9961-9

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  • DOI: https://doi.org/10.1007/s10773-009-9961-9

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