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unige:13104 
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A relativistic toy model for back-reaction |
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| Authors | ||
| Published in | Classical and quantum gravity. 2007, vol. 24, p. 4361-4376 | |
| 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. | |
| Identifiers | arXiv: gr-qc/0408028 | |
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Article (Preprint) (345 Kb) - Free access Article (Published version) (660 Kb) - Limited access to UNIGE |
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| 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. https://archive-ouverte.unige.ch/unige:13104 |
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