Abstract
We compute the two-point function and therenormalized expectation value of the stress tensor ofa quantum field interacting with a nucleating bubble.Two simple models are considered. One is the massless field in the Vilenkin-IpserSikivie spacetimedescribing the gravitational field of a reflectionsymmetric domain wall. The other is vacuum decay in flatspacetime where the quantum field only interacts with the tunneling field on the bubble wall. Inboth cases the stress tensor is of the perfect fluidform. The asymptotic form of the equation of state aregiven for each model. In the VIS case, we find that p = –(1/3)ρ, where the energydensity ρ is dominated by the gradients ofsupercurvature modes.
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REFERENCES
S. Coleman, Phys. Rev. D 15, 2929 (1977); C. G. Callan and S. Coleman, Phys. Rev. D 16, 1762 (1977).
V. A. Rubakov, Nucl. Phys. B 245, 481 (1984).
T. Vachaspati and A. Vilenkin, Phys. Rev. D 43, 3846 (1991).
T. Tanaka and M. Sasaki, Phys. Rev. D 49, 1039 (1994); T. Tanaka and M. Sasaki, Phys. Rev. D 50, 6444 (1994).
M. Sasaki, T. Tanaka, K. Yamamoto, and J. Yokoyama, Progr. Theor. Phys. 90, 1019 (1993).
S. Coleman, V. Glaser, and A. Martin, Commun. Math. Phys. 58, 211 (1978).
T. Banks, C. M. Bender, T. T. Wu, Phys. Rev. D 8, 3346 (1973); T. Banks and C. M. Bender, Phys. Rev. D 8, 3366 (1973).
H. J. Vega, J. L. Gervais, and B. Sakita, Nucl. Phys. B 139, 20 (1978); 142, 125 (1978); Phys. Rev. D 19, 604 (1979).
S. Coleman, Aspects of Symmetry (Cambridge University Press, Cambridge, 1985).
F. G. Friedlander, The Wave Equation on a Curved Spacetime (Cambridge University Press, Cambridge, 1975).
J. Hadamard, Lectures on Cauchy's Problem in Linear Partial Differential Equations (Yale University Press, New Heaven, Connecticut, 1923).
B. S. DeWitt, Relativity, Groups and Topology (Gordon and Breach, New York, 1964).
B. S. Kay and R. M. Wald, Phys. Rep. 207, 49 (1991); B. S. Kay, J. Math. Phys. 34, 4519 (1993).
S. M. Christensen, Phys. Rev. D 14, 2490 (1974); S. M. Christensen, Phys. Rev. D 17, 946 (1978).
R. M. Wald, Commun. Math. Phys. 54, 1 (1977); R.M. Wald, Phys. Rev. D 17, 1477 (1978).
M. R. Brown and A. Ottewill, Phys. Rev. D 34, 1776 (1986); D. Bernard and A. Folacci, Phys. Rev. D 34, 2286 (1986).
M. Dorca and E. Verdaguer, Nucl. Phys. B 484, 435 (1997).
A. Vilenkin, Phys. Lett. 133B, 177 (1983); J. Ipser and P. Sikivie, Phys. Rev. D 30, 712 (1984).
V. A. Berezin, V. A. Kuzmin, and I. I. Tkachev, Phys. Lett. 120B, 91 (1983).V. A. Verezin, V. A. Kuzmin, and I. I. Tkachev, Phys. Rev. D 36, 2919 (1987).
T. S. Bunch and P. C. W. Davies, Proc. R. Soc. Lond. A 360, 117 (1978).
B. S. DeWitt, Relativity, Groups and Topology II (North-Holland, Amsterdam, 1983).
L. H. Ford and C. Pathinayake, Phys. Rev. D 39, 3642 (1989).
J. Garriga and A. Vilenkin, Phys. Rev. D 45, 3469 (1993).
K. Kirsten and J. Garriga, Phys. Rev. D 48, 567 (1993).
P. Candelas and D. J. Raine, Phys. Rev. D 12, 965 (1975); B. Ratra, Phys. Rev. D 31, 1931 (1985).
X. Montes, in preparation.
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Montes, X. Renormalized Stress Tensor in One-Bubble Spacetimes. International Journal of Theoretical Physics 38, 3091–3109 (1999). https://doi.org/10.1023/A:1026620502136
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DOI: https://doi.org/10.1023/A:1026620502136