Non-perturbative QEG corrections to the Yang–Mills beta function. (English) Zbl 1225.83030
Summary: 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.
MSC:
| 83C45 | Quantization of the gravitational field |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 70S15 | Yang-Mills and other gauge theories in mechanics of particles and systems |
| 81T17 | Renormalization group methods applied to problems in quantum field theory |
| 83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
| 81S40 | Path integrals in quantum mechanics |
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