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Non-perturbative QEG corrections to the Yang–Mills beta function

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Abstract

We discuss the non-perturbative renormalization group evolution of the gauge coupling constant by using a truncated form of the functional flow equation for the effective average action of the Yang–Mills-gravity system. Our result is consistent with the conjecture that quantum Einstein gravity (QEG) is asymptotically safe and has a vanishing gauge coupling constant at the non-trivial fixed point.

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References

  1. Robinson S.P., Wilczek F.: Phys. Rev. Lett. 96, 231601 (2006)

    Article  ADS  Google Scholar 

  2. Robinson, S.P.: Ph.D. Thesis. MIT Press, Cambridge (2005)

  3. Pietrykowski A.R.: Phys. Rev. Lett. 98, 061801 (2007)

    Article  ADS  Google Scholar 

  4. Toms D.J.: Phys. Rev. D 76, 045015 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  5. Ebert D., Plefka J., Rodigast A.: Phys. Lett. B 660, 579 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  6. Tang, Y., Wu, Y.-L.: arXiv:0807.0331[hep-th]

  7. Toms D.J.: Phys. Rev. Lett. 101, 131301 (2008)

    Article  ADS  Google Scholar 

  8. Toms D.J.: Phys. Rev. D 80, 064040 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  9. Daum J.-E., Harst U., Reuter M.: JHEP 01, 084 (2010) arXiv:0910.4938 [hep-th]

    Article  ADS  Google Scholar 

  10. Reuter M.: Phys. Rev. D 57, 971 (1998) hep-th/9605030

    Article  MathSciNet  ADS  Google Scholar 

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Correspondence to J.-E. Daum.

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Daum, JE., Harst, U. & Reuter, M. Non-perturbative QEG corrections to the Yang–Mills beta function. Gen Relativ Gravit 43, 2393–2407 (2011). https://doi.org/10.1007/s10714-010-1032-2

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  • DOI: https://doi.org/10.1007/s10714-010-1032-2

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