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Light-Front BRST Quantization of the Vector Schwinger Model with a Photon Mass Term

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Abstract

Vector Schwinger model with a mass term for the photon, describing 2D electrodynamics with mass-less fermions, studied by us recently (UK, Mod. Phys. Lett A22, 2993 (2007), PoS LC2008, 008 (2008), UK and DSK, Int. J. Mod. Phys. A22, 6183 (2007), UK, Mod. Phys. Lett A27, 1250157 (2012)), represents a new class of models. This theory becomes gauge-invariant when studied on the light-front. This is in contrast to the instant-form theory which is gauge-non-invariant. The light-front Hamiltonian and path integral quantization of this theory has been studied recently by one of us (UK, Mod. Phys. Lett. A27 (No. 27) 1250157 (2012)). In the present work we study the light-front Becchi-Rouet-Stora and Tyutin (BRST) quantization of this theory under appropriate light-cone BRST gauge-fixing. Here the BRST (gauge) symmetry of the theory is maintained even under BRST-gauge-fixing which is in contrast to its Hamiltonian and path integral quantization where the gauge symmetry of the theory necessarily gets broken under gauge-fixing.

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Acknowledgments

This work was supported in part by the US Department of Energy under Grant No. DE-FG02-87ER40371 and by the US National Science Foundation under Grant No. PHY-0904782.

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Authors and Affiliations

  1. Department of Physics and Astronomy, Iowa State University, Ames, Iowa, 50011, USA

    Usha Kulshreshtha, Daya Shankar Kulshreshtha & James P. Vary

  2. Department of Physics, Kirori Mal College, University of Delhi, Delhi, 110007, India

    Usha Kulshreshtha

  3. Department of Physics and Astrophysics, University of Delhi, Delhi, 110007, India

    Daya Shankar Kulshreshtha

  4. Department of Physics, University of Botswana, Private Mail Bag 0022, Gaborone, Botswana

    Lalit Kumar Sharma

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  1. Usha Kulshreshtha
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  2. Daya Shankar Kulshreshtha
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  3. James P. Vary
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  4. Lalit Kumar Sharma
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Correspondence to Usha Kulshreshtha.

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Kulshreshtha, U., Kulshreshtha, D.S., Vary, J.P. et al. Light-Front BRST Quantization of the Vector Schwinger Model with a Photon Mass Term. Int J Theor Phys 53, 4230–4243 (2014). https://doi.org/10.1007/s10773-014-2174-x

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