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Bounded Hamiltonian in the Fourth-Order Extension of the Chern–Simons Theory

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Russian Physics Journal Aims and scope

The problem of constructing alternative Hamiltonian formulations in the extended Chern–Simons theory with higher derivatives is considered. It is shown that the fourth-order extended theory admits a four-parameter series of alternative Hamiltonians which can be bounded from below, even if the canonical energy of the model is unbounded from below.

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References

  1. P. K. Townsend, K. Pilch, and P. van Nieuwenhuizen, Phys. Lett. B, 136, 38–42 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  2. S. Deser and R. Jackiw, Phys. Lett. B, 139, 371–373 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  3. S. Deser, R. Jackiw, and S. Templeton, Ann. Phys., 140, 372–411 (1982).

    Article  ADS  Google Scholar 

  4. S. Deser, R. Jackiw, and S. Templeton, Phys. Rev. Lett., 48, 975–978 (1982).

    Article  ADS  Google Scholar 

  5. R. Banerjee, B. Chakraborty, and T. Scaria, Int. J. Mod. Phys. A, 16, 3967– 3989 (2001).

    Article  ADS  Google Scholar 

  6. S. Deser and B. Tekin, Class. Quant. Grav., 19, 97–100 (2002).

    Article  ADS  Google Scholar 

  7. T. Lee and G. Wick, Nucl. Phys. B, 9, 209–243 (1969).

    Article  ADS  Google Scholar 

  8. T. Lee and G. Wick, Phys. Rev. D, 2, 1033–1048 (1970).

    Article  ADS  MathSciNet  Google Scholar 

  9. K. Bolonek and P. Kosinski, Acta Phys. Polon. B, 36, 2115–2131 (2005).

    ADS  Google Scholar 

  10. E. V. Damaskinsky and M. A. Sokolov, J. Phys. A, 39, 10499 (2006).

    Article  ADS  MathSciNet  Google Scholar 

  11. D. S. Kaparulin, S. L. Lyakhovich, and A. A. Sharapov, Eur. Phys. J. C, 74, 3072 (2014).

    Article  ADS  Google Scholar 

  12. D. S. Kaparulin, S. L. Lyakhovich, and A. A. Sharapov, J. Math. Phys., 51, 082902 (2010).

    Article  ADS  MathSciNet  Google Scholar 

  13. P. O. Kazinski, S. L. Lyakhovich, and A. A. Sharapov, J. High En. Phys., 0507, 076 (2005).

    Article  ADS  Google Scholar 

  14. D. S. Kaparulin, S. L. Lyakhovich, and A. A. Sharapov, J. Geom. Phys., 74, 164–184 (2013).

    Article  ADS  MathSciNet  Google Scholar 

  15. D. S. Kaparulin, I.Yu. Karataeva, and S. L. Lyakhovich, Eur. Phys. J. C, 75, 552 (2015).

    Article  ADS  Google Scholar 

  16. D. S. Kaparulin, I.Yu. Karataeva, and S. L. Lyakhovich, Russ. Phys. J., 59, No. 11, 1930–1936 (2017).

    Article  Google Scholar 

  17. V. A. Abakumova, D. S. Kaparulin, and S. L. Lyakhovich, Eur. Phys. J. C, 78, 115 (2018).

    Article  ADS  Google Scholar 

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Correspondence to V. A. Abakumova.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 40–47, December, 2017.

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Abakumova, V.A., Kaparulin, D.S. & Lyakhovich, S.L. Bounded Hamiltonian in the Fourth-Order Extension of the Chern–Simons Theory. Russ Phys J 60, 2095–2104 (2018). https://doi.org/10.1007/s11182-018-1331-8

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  • DOI: https://doi.org/10.1007/s11182-018-1331-8

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