N -cutoff regularization for fields on hyperbolic space

Banerjee R, Becker M, Ferrero R (2024)

Publication Type: Journal article

Publication year: 2024

Journal

Physical Review D American Physical Society

Book Volume: 109

Article Number: 025008

Journal Issue: 2

DOI: 10.1103/PhysRevD.109.025008

Abstract

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.

Authors with CRIS profile

Renata Ferrero

Involved external institutions

Okinawa Institute of Science and Technology (OIST) / 沖縄科学技術大学院大学 JP Japan (JP) Radboud University Nijmegen NL Netherlands (NL) Johannes Gutenberg-Universität Mainz (JGU) DE Germany (DE)

How to cite

APA:

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

MLA:

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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