Skip to main content
SpringerLink
Log in

Heat-kernel expansion and counterterms of the Faddeev–Popov determinant in Coulomb and Landau gauge

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

Abstract

The Faddeev–Popov determinant of Landau gauge in d dimensions and Coulomb gauge in d+1 dimensions is calculated in the heat-kernel expansion up to next-to-leading order. The UV-divergent parts in d=3,4 are isolated and the counterterms required for a non-perturbative treatment of the Faddeev–Popov determinant are determined.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C.S. Fischer, J. Phys. G 32, R253 (2006). arXiv:hep-ph/0605173

    Article  ADS  Google Scholar 

  2. D. Binosi, J. Papavassiliou, Phys. Rep. 479, 1 (2009). arXiv:0909.2536 [hep-ph]

    Article  MathSciNet  ADS  Google Scholar 

  3. D. Zwanziger, Nucl. Phys. B 518, 237 (1998)

    Article  MATH  ADS  Google Scholar 

  4. P. Watson, H. Reinhardt, Phys. Rev. D 75, 045021 (2007). arXiv:hep-th/0612114

    Article  MathSciNet  ADS  Google Scholar 

  5. A.P. Szczepaniak, E.S. Swanson, Phys. Rev. D 65, 025012 (2002). arXiv:hep-ph/0107078

    Article  ADS  Google Scholar 

  6. C. Feuchter, H. Reinhardt, Phys. Rev. D 70, 105021 (2004). arXiv:hep-th/0408236

    Article  MathSciNet  ADS  Google Scholar 

  7. C. Feuchter, H. Reinhardt, Phys. Rev. D 76, 125016 (2007). arXiv:0709.0140 [hep-th]

    Article  MathSciNet  Google Scholar 

  8. D. Zwanziger, Phys. Rev. D 70, 094034 (2004). arXiv:hep-ph/0312254

    Article  ADS  Google Scholar 

  9. A. Maas, Eur. Phys. J. C 48, 179 (2006). arXiv:hep-th/0511307

    Article  ADS  Google Scholar 

  10. A. Sternbeck, E.M. Ilgenfritz, M. Muller-Preussker, Phys. Rev. D 73, 014502 (2006). arXiv:hep-lat/0510109

    Article  ADS  Google Scholar 

  11. Y. Nakagawa, A. Nakamura, T. Saito, H. Toki, Phys. Rev. D 75, 014508 (2007). arXiv:hep-lat/0702002

    Article  ADS  Google Scholar 

  12. J. Greensite, arXiv:1001.0784

  13. D. Epple, H. Reinhardt, W. Schleifenbaum, A.P. Szczepaniak, Phys. Rev. D 77, 085007 (2008). arXiv:0712.3694 [hep-th]

    Article  ADS  Google Scholar 

  14. H. Reinhardt, C. Feuchter, Phys. Rev. D 71, 105002 (2005). arXiv:hep-th/0408237

    Article  MathSciNet  ADS  Google Scholar 

  15. D. Ebert, H. Reinhardt, Nucl. Phys. B 271, 188 (1986)

    ADS  Google Scholar 

  16. H. Reinhardt, W. Schleifenbaum, Ann. Phys. 324, 735 (2009). arXiv:0809.1764 [hep-th]

    Article  MATH  MathSciNet  ADS  Google Scholar 

  17. P.B. Gilkey, J. Differ. Geom. 10, 601 (1975)

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, 72076, Tübingen, Germany

    Hugo Reinhardt & Davide R. Campagnari

Authors
  1. Hugo Reinhardt
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Davide R. Campagnari
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Davide R. Campagnari.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Reinhardt, H., Campagnari, D.R. Heat-kernel expansion and counterterms of the Faddeev–Popov determinant in Coulomb and Landau gauge. Eur. Phys. J. C 68, 299–303 (2010). https://doi.org/10.1140/epjc/s10052-010-1334-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-010-1334-2

Keywords

Search

Navigation