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Conformally invariant boundary conditions for dilaton gravity
Phys. Rev. D 50, 5177 – Published 15 October, 1994
DOI: https://doi.org/10.1103/PhysRevD.50.5177
Abstract
Quantum mechanical boundary conditions along a timelike line, corresponding to the origin in radial coordinates, in two-dimensional dilaton gravity coupled to N matter fields, are considered. Conformal invariance and vacuum stability severely constrain the possibilities. The simplest choice found corresponds to a nonlinear Liouville-type boundary interaction. The scattering of low-energy matter off the boundary can be computed perturbatively. It is found that weak incident pulses induce damped oscillations at the boundary while large incident pulses produce black holes. The response of the boundary to such pulses is semiclassically characterized by a second order, nonlinear ordinary differential equation which is analyzed numerically.
References (16)
- C. G. Callan, S. B. Giddings, J. A. Harvey and A. Strominger, Phys. Rev. D 45, 1005 (1992).
- A. Bilal and C. G. Callan, Nucl. Phys. B394, 73 (1993).
- S. P. de Alwis, Phys. Lett. B 289, 278 (1992); ibid. 300, 330 (1993); Phys. Rev. D 46, 5429 (1992).
- J. G. Russo, L. Susskind and L. Thorlacius, Phys. Rev. D 46, 3444 (1992); ibid. 47, 533 (1993).
- J. A. Harvey and A. Strominger, in Recent Developments in Particle Theory From Superstrings and Black Holes to the Standard Model, Proceedings of the Theoretical Advanced Study Institute in Elementary Particle Physics, Boulder, Colorado, 1992, edited by J. Harvey and J. Polchinski (World Scientific, Singapore, 1993); S. B. Giddings, in String Quantum Gravity and Physics at the Planck Energy Scale, Proceedings of the International Workshop on Theoretical Physics, 6th Session, Erice, Italy, 1992, edited by N. Sanchez (World Scientific, Singapore, 1993).
- E. Verlinde and H. Verlinde, Nucl. Phys. B406, 43 (1993); K. Schoutens, E. Verlinde and H. Verlinde, Phys. Rev. D 48, 2690 (1993).
- T. D. Chung and H. Verlinde, Nucl. Phys. B418, 305 (1994).
- S. R. Das and S. Mukherji, Phys. Rev. D 50, 930 (1994).
- D. Lowe, J. Preskill, A. Strominger, L. Thorlacius, and S. P. Trivedi (in progress).
- A. Strominger (unpublished).
- S. B. Giddings and A. Strominger, Phys. Rev. D 47, 2754 (1993).
- A. Strominger, Phys. Rev. D 46, 4396 (1992).
- J. L. Cardy, Nucl. Phys. 240, 514 (1984).
- See, e.g., N. Birrel and P. Davies, in. Illuminating discussions in the context of black holes can be found in R. Carlitz and S. WilleyQuantum Fields in Curved Space (Cambridge University Press, Cambridge, 1982), and references there, Phys. Rev. D 36, 2327 (1987); 36, 2336 (1987); and F. Wilczek, in Black Holes, Membranes, Wormholes, and Superstrings, Proceedings of the International Symposium, Woodlands, Texas, 1992, edited by S. Kalara and D. V. Nanopoulos (World Scientific, Singapore, 1993).
- C. Callan, I. Klebanov, A. Ludwig, and J. Maldacena, ``Exact Solution of a Boundary Conformal Field Theory,'' Princeton Report No. PUPT 1450, 1994, hepth/9402113 (unpublished).
- J. Polchinski and L. Thorlacius, Phys. Rev. D 50, 622 (1994).