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Euclidean Axion Wormholes Have Multiple Negative Modes.

Thomas Hertog1, Brecht Truijen1, Thomas Van Riet1

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Euclidean axion wormholes are not stable in quantum gravity due to perturbations that lower the action. This finding resolves paradoxes in theories of gravity and quantum cosmology, particularly concerning AdS/CFT.

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Area of Science:

  • Theoretical Physics
  • Quantum Gravity
  • String Theory

Background:

  • Axion wormholes are solutions in theories of gravity coupled to axions.
  • Their stability and relevance in quantum gravity have been debated.
  • Understanding these solutions is crucial for reconciling gravity with quantum mechanics.

Purpose of the Study:

  • To investigate the stability of Euclidean axion wormholes.
  • To determine if these wormholes are valid saddle points in quantum gravity.
  • To resolve paradoxes arising from axion wormhole solutions, especially within the AdS/CFT framework.

Main Methods:

  • Analysis of inhomogeneous perturbations in Euclidean axion wormhole solutions.
  • Utilizing a gauge-invariant variable to simplify the study of negative modes.
  • Examining wormholes in both flat and anti-de Sitter (AdS) spaces.

Main Results:

  • Identified multiple independent inhomogeneous perturbations that decrease the Euclidean action.
  • These destabilizing perturbations are localized in the 'neck' region of the wormholes.
  • The presence of these negative modes invalidates axion wormholes as relevant saddle points in quantum gravity.

Conclusions:

  • Euclidean axion wormholes are unstable and not relevant saddle points in quantum gravity.
  • This instability resolves long-standing paradoxes associated with these solutions.
  • The findings have significant implications for the AdS/CFT correspondence and quantum cosmology.