Quantum fields in anti-de Sitter wormholes

TL;DR

This paper investigates how anti-de Sitter wormholes influence low-energy quantum fields, providing a method to derive effective interactions and exploring the ambiguity in defining particles in curved spacetime.

Contribution

It introduces a general prescription for calculating local effective interactions induced by AdS wormholes and analyzes the vacuum choice's impact on the Hilbert space structure.

Findings

Effective interaction terms can be systematically derived from wormhole effects.

Vacuum choice influences the particle basis in the Hilbert space.

Ambiguity in particle definition mirrors that in quantum field theory in curved spacetime.

Abstract

We study the effects of asymptotically anti-de Sitter wormholes in low-energy field theory and give a general prescription for obtaining the local effective interaction terms induced by them. The choice of vacuum for the matter fields selects a basis of the Hilbert space of anti-de Sitter wormholes whose elements can be interpreted as states containing a given number of particles. This interpretation is subject to the same kind of ambiguity in the definition of particle as that arising from quantum field theory in curved spacetime.