Note on the pragmatic mode-sum regularization method: translational-splitting in a cosmological background

Abstract

The point-splitting renormalization method offers a prescription to calculate finite expectation values of quadratic operators constructed from quantum fields in a general curved spacetime. It has been recently shown by Levi and Ori that when the background metric possesses an isometry, like stationary or spherically symmetric black holes, the method can be upgraded into a pragmatic procedure of renormalization that produces efficient numerical calculations. In this note we show that when the background enjoys three-dimensional spatial symmetries, like homogeneous expanding universes, the above pragmatic regularization technique reduces to the well established adiabatic regularization method.

10 pages

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Cited by in corpus (7)

• Probing the Big Bang with quantum fields
• Equivalence of the adiabatic expansion and Hadamard renormalization for a charged scalar field
• Ultraviolet-regularized power spectrum without infrared distortions in cosmological spacetimes
• Renormalization of $⟨{\varphi }^2⟩$ at the inner horizon of rotating, accreting black holes
• Renormalization, running couplings and decoupling for the Yukawa model in curved spacetime
• Low Energy States and CPT invariance at the Big Bang
• Physical scale adiabatic regularization in cosmological spacetimes