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arXiv · 1812.05564

Running couplings from adiabatic regularization

Antonio Ferreiro·Jose Navarro-Salas
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Abstract

We extend the adiabatic regularization method by introducing an arbitrary mass scale $μ$ in the construction of the subtraction terms. This allows us to obtain, in a very robust way, the running of the coupling constants by demanding $μ$-invariance of the effective semiclassical (Maxwell-Einstein) equations. In particular, we get the running of the electric charge of perturbative quantum electrodynamics. Furthermore, the method brings about a renormalization of the cosmological constant and the Newtonian gravitational constant. The running obtained for these dimensionful coupling constants has new relevant (non-logarithmic) contributions, not predicted by dimensional regularization.

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Antonio Ferreiro, Jose Navarro-Salas. 2019-03-20. Running couplings from adiabatic regularization. https://doi.org/10.1016/j.physletb.2019.03.026

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