6533b86efe1ef96bd12cb690

RESEARCH PRODUCT

Running couplings from adiabatic regularization

Antonio FerreiroJosé Navarro-salas

subject

PhysicsCoupling constantHigh Energy Physics - TheoryNuclear and High Energy PhysicsSemiclassical physicsFOS: Physical sciencesCosmological constantGeneral Relativity and Quantum Cosmology (gr-qc)lcsh:QC1-999General Relativity and Quantum CosmologyRenormalizationGravitational constantDimensional regularizationHigh Energy Physics - Theory (hep-th)Regularization (physics)Adiabatic processlcsh:PhysicsMathematical physics

description

We extend the adiabatic regularization method by introducing an arbitrary mass scale $\mu$ 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 $\mu$-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.

yearjournalcountryeditionlanguage
2019-05-01
https://dx.doi.org/10.48550/arxiv.1812.05564