Scientific article
English

A relativistic toy model for back-reaction

Published inClassical and quantum gravity, vol. 24, p. 4361-4376
Publication date2007
Abstract

We consider a quantized massless and minimally coupled scalar field on a circular closed string with a time-dependent radius $R(t)$, whose undisturbed dynamics is governed by the Nambu-Goto action. Within the semi-classical treatment, the back-reaction of the quantum field onto the string dynamics is taken into account in terms of the renormalized expectation value of the energy-momentum tensor including the trace anomaly. The results indicate that the back-reaction could prevent the collapse of the circle $Rdownarrow0$ -- however, the semi-classical picture fails to describe the string dynamics at the turning point (i.e., possible bounce) at finite values of $R$ and $dot R$. The fate of the closed string after that point (e.g., oscillation or eternal acceleration) cannot be determined within the semi-classical picture and thus probably requires the full quantum treatment. PACS: 04.62.+v, 03.70.+k, 11.15.Kc, 04.60.-m.

Classification
  • arxiv : gr-qc
Affiliation entities Not a UNIGE publication
Citation (ISO format)
PLUNIEN, Günter, RUSER, Marcus, SCHÜTZHOLD, Ralf. A relativistic toy model for back-reaction. In: Classical and quantum gravity, 2007, vol. 24, p. 4361–4376. doi: 10.1088/0264-9381/24/17/006
Main files (2)
Article (Submitted version)
accessLevelPublic
Article (Published version)
accessLevelRestricted
Identifiers
Journal ISSN0264-9381
666views
952downloads

Technical informations

Creation01/04/2011 11:30:00 AM
First validation01/04/2011 11:30:00 AM
Update time03/14/2023 4:11:14 PM
Status update03/14/2023 4:11:13 PM
Last indexation10/29/2024 5:40:25 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack