The spatial Functional Renormalization Group and Hadamard states on cosmological spacetimes

  title={The spatial Functional Renormalization Group and Hadamard states on cosmological spacetimes},
  author={R. Banerjee and M. Niedermaier},
  journal={Nuclear Physics B},
2 Citations

Figures from this paper

The spectral geometry of de Sitter space in asymptotic safety

Abstract Within the functional renormalization group approach to Background Independent quantum gravity, we explore the scale dependent effective geometry of the de Sitter solution dS4. The

Wetterich equation on Lorentzian manifolds

We discuss the scaling of the effective action for the interacting scalar quantum field theory on generic spacetimes with Lorentzian signature and in a generic state (including vacuum and thermal



Bonus properties of states of low energy

States of Low Energy (SLE) are exact Hadamard states defined on arbitrary Friedmann-Lemaitre spacetimes. They are constructed from a fiducial state by minimizing the Hamiltonian's expectation value

Computing the effective action with the functional renormalization group

The “exact” or “functional” renormalization group equation describes the renormalization group flow of the effective average action $$\Gamma _k$$Γk. The ordinary effective action $$\Gamma _0$$Γ0 can

Quantum Field Theory in Curved Spacetime

We review the mathematically rigorous formulation of the quantum theory of a linear field propagating in a globally hyperbolic spacetime. This formulation is accomplished via the algebraic approach,

States of low energy on Robertson–Walker spacetimes

We construct a new class of physical states of the free Klein–Gordon field in Robertson–Walker spacetimes. This is done by minimizing the expectation value of smeared stress–energy. We get an

Wave equations on Lorentzian manifolds

  • European Mathematical Society
  • 2007

Gravitational fixed points from perturbation theory.

The fixed point structure of the renormalization flow in higher derivative gravity is investigated in terms of the background covariant effective action using an operator cutoff that keeps track of

Renormalization group flow and symmetry restauration in de Sitter space

  • Phys. Lett. B730
  • 2014

Quantum fields in de Sitter space from the nonperturbative renormalization group

  • Phys. Rev. D92
  • 2015

Exact RG flow in an expanding universe and screening of the cosmological constant

  • Phys. Rev. D87
  • 2013

On Global Hyperbolicity of Spacetimes: Topology Meets Functional Analysis

This chapter is an up-to-date account of results on globally hyperbolic spacetimes, and serves several purposes. We begin with the exposition of results from a foundational level, where the main