test_moissonnage_selune
type: Agent

Hawking effect for a toy model of interacting fermions
type: Distribution
access URL: https://hal.science/hal-00869929
format: HTML
issued: 2026-05-09T11:43:43.195987
modified: 2026-05-09T11:43:43.165224

Hawking effect for a toy model of interacting fermions
type: Dataset
contact point: Organization
  fn: CCSD
keyword: interacting-fermions
keyword: preprints-working-papers-
keyword: physmphyphysics-physicsmathematical-physics-math-ph
keyword: 1-d-dirac-equations
keyword: hawking-effect
keyword: mathmath-mpmathematics-mathmathematical-physics-math-ph
keyword: 81t10-81t20
keyword: infoeu-reposemanticspreprint
landing page: https://hal.science/hal-00869929
description: We consider a toy model of interacting Dirac fermions in a $1+1$ dimensional space time describing the exterior of a star collapsing to a blackhole. In this situation we give a rigorous proof of the {\em Hawking effect}, namely that under the associated quantum evolution, an initial vacuum state will converge when $t\to +\infty$ to a thermal state at Hawking temperature. We establish this result both for observables falling into the blackhole along null characteristics, and for static observables. We also consider the case of an interaction localized near the star boundary, obtaining similar results. We hence extend to an interacting model previous results of Bachelot and Melnyk, obtained for free Dirac fields.
issued: 2026-05-09T11:43:43.177578
language: en
modified: 2026-05-09T11:43:43.177583