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Abelian 1-Form Gauge Theory in Very Special Relativity

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Abstract

We study an Abelian 1-form gauge theory in the context of very special relativity. The very special relativity regards subgroup of Lorentz group as fundamental symmetry of the nature than the full Lorentz group. The rotational symmetry of the Lorentz symmetry breaks down by chosing a privileged direction in spacetime. We discuss the BRST invariant and anti-BRST invariant superspace formulations for such BV actions. The VSR modified BRST invariant BV action corresponding to the Abelian 1-form gauge theory can be written manifestly covariant manner in a superspace with one Grassmann coordinate. Moreover, we can write down the the VSR modified extended BRST and extended anti-BRST invariant BV actions in a superspace with two Grassmann coordinates. The results thus obtained is in complete agreement with the Lorentz invariant theory.

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References

  1. Magueijo, J., Smolin, L.: Class. Quant. Grav. 21, 1725 (2004)

    Article  ADS  Google Scholar 

  2. Alfaro, J., Morales-Tecotl, H., Urrutia, L.F.: Quantum gravity corrections to neutrino propagation. Phys. Rev. Lett. 84, 2318 (2000)

    Article  ADS  Google Scholar 

  3. Alfaro, J., Morales-Tecotl, H.A., Urrutia, L.F.: Loop quantum gravity and light propagation. Phys. Rev. D 65, 103509 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  4. Cohen, A.G., Glashow, S.L.: Phys. Rev. Lett. 97, 021601 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  5. Cohen, A.G., Glashow, S.L.: A lorentz-violating origin of neutrino mass? arXiv:hep-ph/0605036

  6. Cohen, A.G., Freedman, D.Z.: Sim(2) and SUSY. JHEP 07, 039 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  7. Vohanka, J., theory, Gauge: SIM(2) superspace. Phys. Rev. D 85, 105009 (2012)

    Article  ADS  Google Scholar 

  8. Fan, J., Goldberger, W.D., Skiba, W.: Phys. Lett. B 649, 186 (2007)

    Article  ADS  Google Scholar 

  9. Maluf, R.V., Silva, J.E.G., Cruz, W.T., Almeida, C.A.S.: Phys. Lett. B 738, 341 (2014)

    Article  ADS  Google Scholar 

  10. Upadhyay, S., Shah, M.B., Ganai, P.A.: Eur. Phys. J. C 77(3), 157 (2017)

    Article  ADS  Google Scholar 

  11. Masood, S., Shah, M.B., Ganai, P.A.: Int. J. Geom. Meth. Mod. Phys. 15(01), 1850021 (2018)

    Article  Google Scholar 

  12. Shah, M.B., Ganai, P.A.: Int. J. Geom. Meth. Mod. Phys. 15(01), 1850009 (2017)

    Article  Google Scholar 

  13. Gibbons, G.W., Gomis, J., Pope, C.N.: Phys. Rev. D 76, 081701 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  14. Alvarez, E., Vidal, R.: Phys. Rev. D 77, 127702 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  15. Kouretsis, A.P., Stathakopoulos, M., Stavrinos, P.C.: Phys. Rev. D 79, 104011 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  16. Shah, M.B., Ganai, P.A.: Commun. Theor. Phys. 69(2), 166 (2018)

    Article  ADS  Google Scholar 

  17. Upadhyay, S., Panigrahi, P.K.: Nucl. Phys. B 915, 168 (2017)

    Article  ADS  Google Scholar 

  18. Bufalo, R., Upadhyay, S.: Phys. Lett. B 772, 420 (2017)

    Article  ADS  Google Scholar 

  19. Upadhyay, S.: Eur. Phys. J. C 75(12), 593 (2015)

    Article  ADS  Google Scholar 

  20. Masood, S., Shah, M.B., Ganai, P.A.: Int. J. Geom. Meth. Mod. Phys. 15 (02), 18 (2017)

    Google Scholar 

  21. Cheon, S., Lee, C., Lee, S.: Phys. Lett. B 679, 73 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  22. Alfaro, J., Rivelles, V.O.: Phys. Rev. D 88, 085023 (2013)

    Article  ADS  Google Scholar 

  23. Ferrara, S., Piguet, O., Schweda, M.: Nucl. Phys. B 119, 493 (1977)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, National Institute of Technology, Srinagar, Kashmir, 190006, India

    Mushtaq B. Shah

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  1. Mushtaq B. Shah
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Correspondence to Mushtaq B. Shah.

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Shah, M.B. Abelian 1-Form Gauge Theory in Very Special Relativity. Int J Theor Phys 57, 3576–3583 (2018). https://doi.org/10.1007/s10773-018-3871-7

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  • DOI: https://doi.org/10.1007/s10773-018-3871-7

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