N -cutoff regularization for fields on hyperbolic space

Banerjee R, Becker M, Ferrero R (2024)

Publication Type: Journal article

Publication year: 2024


Book Volume: 109

Article Number: 025008

Journal Issue: 2

DOI: 10.1103/PhysRevD.109.025008


We apply a novel background independent regularization scheme, the N-cutoffs, to self-consistently quantize scalar and metric fluctuations on the maximally symmetric but noncompact hyperbolic space. For quantum matter fields on a classical background or full quantum Einstein gravity (regarded here as an effective field theory) treated in the background field formalism, the N-cutoff is an ultraviolet regularization of the fields' mode content that is independent of the background hyperbolic space metric. For each N>0, the regularized system backreacts on the geometry to dynamically determine the self-consistent background metric. The limit in which the regularization is removed then automatically yields the "physically correct"spacetime on which the resulting quantum field theory lives. When self-consistently quantized with the N-cutoff, we find that without any fine-tuning of parameters, the vacuum fluctuations of scalar and (linearized) graviton fields do not lead to the usual cosmological constant problem of a curvature singularity. Instead, the presence of increasingly many field modes tends to reduce the negative curvature of hyperbolic space, leading to vanishing values in the limit of removing the cutoff.

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Banerjee, R., Becker, M., & Ferrero, R. (2024). N -cutoff regularization for fields on hyperbolic space. Physical Review D, 109(2). https://dx.doi.org/10.1103/PhysRevD.109.025008


Banerjee, Rudrajit, Maximilian Becker, and Renata Ferrero. "N -cutoff regularization for fields on hyperbolic space." Physical Review D 109.2 (2024).

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