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Determination of Phase Space Spectra of the Generalized Chiral Schwinger model with the Lorentz invariant Mass like Term for the Choice a − r2 = 0

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Abstract

We have considered the generalized version of chiral schwinger model with the Lorentz covariant masslike term for gauge field with the choice a − r2 = 0. We carry out the quantization by the canonical Dirac method of both the gauge-invariant and non-invariant version of this model to determine the phase space structure. Therefore we have shown that the gauge invariant theory has the same physical spectrum as that of the original gauge noninvariant formulation.

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References

  1. Dirac, P.A.M.: Lectures on Quantum Mechanics. Yeshiva University Press, New York (1964)

    Google Scholar 

  2. Hanson, A.J., Teitelboim, C.: Dirac General Method For Constrained Hamiltonian system

  3. Mitra, P.: arXiv:hep-th/9506158

  4. Yasmin, S, Rahaman, A: . Int. J. Theor. Phys. 55, 5172–5185 (2016)

    Article  Google Scholar 

  5. Yasmin, S., Rahaman, A.: Int. J. Mod. Phys. 31, 32 (2016)

    Article  Google Scholar 

  6. Bassetto, A., Griguolo, L., Zanca, P.: Phys. Rev. D 50, 1077 (1994)

    Article  ADS  Google Scholar 

  7. Bassetto, A.: Nucl. Phys. B 439, 327 (1995)

    Article  ADS  Google Scholar 

  8. Bassetto, A., Griguolo, L., Zanca, P.: Phys. Rev. D 50, 7638 (1994)

    Article  ADS  Google Scholar 

  9. Lowenstein, J.H., Swieca, J.A.: Ann. Phys. (N. Y.) 68, 172 (1971)

    Article  ADS  Google Scholar 

  10. Ghosh, A., Mitra, P.: Phys. Rev. D 50, 7389 (1994)

    Article  ADS  Google Scholar 

  11. Mitra, P., Rahaman, A.: Ann. Phys. (N. Y.) 249, 34 (1996)

    Article  ADS  Google Scholar 

  12. Schwinger, J.: Phys. Rev. 128, 2425 (1962)

    Article  MathSciNet  ADS  Google Scholar 

  13. Thirring, W.: Ann. Phys. 3, 91 (1958)

    Article  ADS  Google Scholar 

  14. Jackiw, R., Rajaraman, R.: Phys. Re, Left. 54, 1219 (1985)

    Article  ADS  Google Scholar 

  15. Faddeev, L.D., Shatashvili, S.L.: Phys. Lett. B 167, 225 (1986)

    Article  ADS  Google Scholar 

  16. Wess, J., Zumino, B.: Phys. lett. B 37, 95 (1971)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

I would like to acknowledge Dr. Anisur Rahaman of Hooghly Mohsin College for his useful discussions about the model.

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  1. Indas Mahavidyalaya, Indas, Bankura, 722205, West Bengal, India

    Safia Yasmin

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  1. Safia Yasmin
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Correspondence to Safia Yasmin.

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Yasmin, S. Determination of Phase Space Spectra of the Generalized Chiral Schwinger model with the Lorentz invariant Mass like Term for the Choice a − r2 = 0. Int J Theor Phys 60, 1516–1522 (2021). https://doi.org/10.1007/s10773-021-04774-4

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  • DOI: https://doi.org/10.1007/s10773-021-04774-4

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