Symmetry breaking aspects of the effective Lagrangian for quantum black holes

TL;DR

This paper explores how symmetry breaking and Goldstone bosons in the effective Lagrangian framework provide insights into the quantum degrees of freedom of black holes, drawing parallels with QCD flux tubes.

Contribution

It introduces a symmetry-breaking perspective in the effective Lagrangian for quantum black holes, linking Goldstone bosons to black hole quantum excitations and complementarity.

Findings

Goldstone boson associated with translation symmetry breaking in black holes

Effective Lagrangian captures quantum degrees of freedom

Black hole complementarity emerges at the effective level

Abstract

The physical excitations entering the effective Lagrangian for quantum black holes are related to a Goldstone boson which is present in the Rindler limit and is due to the spontaneous breaking of the translation symmetry of the underlying Minkowski space. This physical interpretation, which closely parallels similar well-known results for the effective stringlike description of flux tubes in QCD, gives a physical insight into the problem of describing the quantum degrees of freedom of black holes. It also suggests that the recently suggested concept of 'black hole complementarity' emerges at the effective Lagrangian level rather than at the fundamental level.