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A Model of Boson in (1 + 1) Dimension with the Non-Covariant Masslike Term for the Gauge Field

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Abstract

We consider the gauged model of Siegel type chiral boson with a Lorentz non-covariant mass-like term for the gauge fields which is found to be equivalent to a model of boson where the kinetic term is like the kinetic term of Floreanini-Jackiw type chiral boson. We carry out the quantization of gauge non-invariant version this model in both the Lagrangian and Hamiltonian formulation. The quantization of the gauge-invariant version of this model in the extended phase space also has been carried out in the Lagrangian formulation. The gauge-invariant version of this model in the extended phase space is found to map onto the physical phase space with the appropriate gauge fixing condition. BRST symmetry associated with this model has been studied with different gauge fixing terms. It has been shown that the same model shows off-shell as well as on-shell BRST invariance depending on the choice of gauge fixing term.

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Acknowledgements

AR likes to thanks the Director of Saha Institute of Nuclear Physics, Kolkata, for providing the computer and library facilities of the Institute.

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Authors and Affiliations

  1. Hooghly Mohsin College, Chinsurah, Hooghly, 712101, West Bengal, India

    Shahin Absar, Sanjib Ghoshal & Anisur Rahaman

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  1. Shahin Absar
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  2. Sanjib Ghoshal
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  3. Anisur Rahaman
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Correspondence to Anisur Rahaman.

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Shahin Absar is a research scholar of the department of physics.

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Absar, S., Ghoshal, S. & Rahaman, A. A Model of Boson in (1 + 1) Dimension with the Non-Covariant Masslike Term for the Gauge Field. Int J Theor Phys 60, 214–226 (2021). https://doi.org/10.1007/s10773-020-04680-1

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