Skip to main content
Log in

On semi-classical topologically massive gravity in three dimensions

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

In this paper, we compute the Green function, one-loop effective action and trace anomaly for the scalar fields coupled to the three-dimensional topologically massive gravitational vacuum (especially CSI Kundt vacuum) via standard quantum field theoretical methods.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. E. Witten, 2+1 dimensional gravity as an exactly soluble system. Nucl. Phys. B 311, 46 (1988)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. S. Hu, Z. Hu, R.R. Zhang, On \(\mathit{SL}(2,\mathbb{R})\) and AdS gravity. Int. J. Mod. Phys. A 27, 1250138 (2012)

    Article  ADS  Google Scholar 

  3. S. Deser, R. Jackiw, S. Templeton, Topologically massive gauge theories. Ann. Phys. 140, 372 (1982)

    Article  MathSciNet  ADS  Google Scholar 

  4. K. Hinterbichler, Theoretical aspects of massive gravity. Rev. Mod. Phys. 84, 671 (2012)

    Article  ADS  Google Scholar 

  5. W. Li, W. Song, A. Strominger, Chiral gravity in three dimensions. J. High Energy Phys. 04, 082 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  6. S. Deser, B. Tekin, Massive, topologically massive, models. Class. Quantum Gravity 19, L97 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  7. M. Bañados, C. Teitelboim, J. Zanelli, Black hole in three-dimensional spacetime. Phys. Rev. Lett. 69, 1849 (1992)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. D.D.K. Chow, C.N. Pope, E. Sezgin, Classification of solutions in topologically massive gravity. Class. Quantum Gravity 27, 105001 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  9. G. Guralnik, A. Iorio, R. Jackiw, S.Y. Pi, Dimensionally reduced gravitational Chern–Simons term and its kink. Ann. Phys. 308, 222 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. B. Sahoo, A. Sen, BTZ black hole with Chern–Simons and higher derivative terms. J. High Energy Phys. 07, 008 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  11. D.D.K. Chow, C.N. Pope, E. Sezgin, Kundt spacetimes as solutions of topologically massive gravity. Class. Quantum Gravity 27, 105002 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  12. M. Chakhad, Kundt spacetimes of massive gravity in three dimensions (2009). arXiv:0907.1973

  13. N.D. Birrell, P.C.W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, 1982)

    Book  MATH  Google Scholar 

  14. B. Chow, P. Lu, L. Ni, Hamilton’s Ricci Flow (American Mathematical Society, Providence, 2006)

    MATH  Google Scholar 

  15. B.S. De Witt, Quantum field theory in curved spacetime. Phys. Rep. 19C, 297 (1975)

    Google Scholar 

Download references

Acknowledgements

This work was partly supported by the National Natural Science Foundation of China under Grant No. 11031005 and by the Wu Wen Tsun Key Laboratory of Mathematics at USTC of the Chinese Academy of Sciences.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhi Hu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hu, S., Hu, Z. On semi-classical topologically massive gravity in three dimensions. Eur. Phys. J. C 73, 2458 (2013). https://doi.org/10.1140/epjc/s10052-013-2458-y

Download citation

  • Received:

  • Published:

  • DOI: https://doi.org/10.1140/epjc/s10052-013-2458-y

Keywords

Navigation