Gauge Symmetries and Dirac Conjecture |
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| Authors: | Yong-Long Wang Zi-Ping Li Ke Wang |
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| Affiliation: | (1) Institute of Condensed Matter of Physics, Linyi Normal University, Linyi, 276005, China;(2) Physics Department, Linyi Normal University, Linyi, 276005, China;(3) Institute of Applied Mathematics, Linyi Normal University, Linyi, 276005, China;(4) CCAST (World Laboratory), P.O. Box 8730, Beijing, 100080, China;(5) College of Applied Sciences, Beijing University of Technology, Beijing, 100022, China |
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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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| Keywords: | Constrained Hamiltonian system Gauge symmetry Gauge identities Dirac conjecture |
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