A Relativistic toy model for back-reaction
Aug, 2004
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Abstract: (arXiv)
We consider a quantized massless and minimally coupled scalar field on a circular closed string with a time-dependent radius , 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 -- however, the semi-classical picture fails to describe the string dynamics at the turning point (i.e., possible bounce) at finite values of and . 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.- 04.60.-m
- 11.15.Kc
- 04.62.+v
- 03.70.+k
- string model
- field theory: scalar
- massless
- coupling: minimal
- back reaction
- dimension: 2
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