2025/07/18 by Carlo Branchina, Vincenzo Branchina, Branchina, Carlo +7
Physics and Astronomy · #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.2507.13832
According to usual calculations in quantum field theory, both in flat and curved spacetime, the mass m2 of a scalar particle is quadratically sensitive to the ultimate scale of the theory, the UV physical cutoff Λ. In the present work, paying attention to the path integral measure and to the way Λ is introduced, we calculate the one-loop effective action Γ1l for a scalar field on a non-trivial gravitational background. We find that m2 presents only a (mild) logarithmic sensitivity to Λ. This is obtained without resorting to a supersymmetric embedding of the theory, nor to regularization schemes (as dimensional or zeta-function regularization) where power-like divergences are absent by construction. In view of the results of the present work, we finally speculate on the way the Minkowski limit should be approached.