Realization of new inflation

Andreas Albrecht; Robert H. Brandenberger

doi:10.1103/PhysRevD.31.1225

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Realization of new inflation

Andreas Albrecht

Robert H. Brandenberger

Institute for Theoretical Physics, University of California, Santa Barbara, California 93106 and Theory Group, Department of Physics, University of Texas, Austin, Texas 78712

Institute for Theoretical Physics, University of California, Santa Barbara, California 93106

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Phys. Rev. D 31, 1225 – Published 15 March, 1985

DOI: https://doi.org/10.1103/PhysRevD.31.1225

Abstract

We examine cosmological phase transitions using a new approach and argue that there are many models in which the universe enters a period of exponential expansion required for an inflationary cosmology. A sufficient condition is that the interaction rates due to quantum field nonlinearities be sufficiently small compared to the expansion rate of the universe. In Coleman-Weinberg-type models this requires tuning the gauge coupling constant to a low value. In pure scalar field theories, the conditions for inflation are satisfied if the scale of symmetry breaking is of the order of the Planck scale.

References (21)

A. Guth, Phys. Rev. D 23, 347 (1981).
For recent reviews on inflationary universe models, see e.g., A. Linde, Rep. Prog. Phys. 47, 925 (1984); R. Brandenberger, Rev. Mod. Phys. 51, 1 (1985).
A. Guth and E. Weinberg, Nucl. Phys. B212, 321 (1983).
A. Linde, Phys. Lett. 108B, 389 (1982).
A. Albrecht and P. Steinhardt, Phys. Rev. Lett. 48, 1220 (1982).
S. Coleman and E. Weinberg, Phys. Rev. D 7, 1888 (1973).
G. Mazenko, W. Unruh and R. Wald, Phys. Rev. D 31, 273 (1985).
See, e.g., Q. Shafi and A. Vilenkin, Phys. Rev. Lett. 52, 691 (1984); J. Ellis, D. Nanopoulos, K. Olive and K. Tamvakis, Nucl. Phys. B221, 524 (1983); D. Nanopoulos, K. Olive, M. Srednicki and K. Tamvakis, Phys. Lett. 123B, 41 (1983); B. Ovrut and P. Steinhardt, ibid. 133B, 161 (1983).
A. Guth and S.-Y. Pi, Phys. Rev. Lett. 49, 1110 (1982); S. Hawking, Phys. Lett. 115B, 295 (1982); A. Starobinsky, ibid. 117B, 175 (1982); J. Bardeen, P. Steinhardt and M. Turner, Phys. Rev. D 28, 679 (1983).
R. Brandenberger and R. Kahn, Phys. Rev. D 29, 2172 (1984).
For reviews of quantum field theory in curved space-time, see, e.g., L. Parker, in Asymptotic Structure of Space-Time, edited by F. P. Esposito and L. Witten (Plenum, New York, 1977); B. DeWitt, Phys. Rep. 19C, 295 (1975); G. Gibbons, in General Relativity, An Einstein Centenary Survey, edited by S. Hawking and W. Israel (Cambridge University Press, Cambridge, 1979); N. Birrell and P. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, 1982).
See, e.g., the last three entries of Ref. 8.
S. Coleman, private communcation.
A. Guth and S.-Y. Pi, MIT report, 1985 (unpublished); see also the contribution by A. Guth, in Proceedings of the Inner Space/Outer Space Conference, Fermilab (Chicago University Press, 1985).
M. Tinkham, Introduction to Superconductivity (McGraw-Hill, Tokyo, 1975), Chap. 7.
R. Brandenberger and W. Zurek (unpublished).
A. Albrecht, R. Brandenberger, and R. Matzner (unpublished).
See, e.g., J. Langer, Physica 73, 61 (1974); J. Langer, in Fluctuations, Instabilities and Phase Transitions, proceedings of the NATO Advanced Studies Institute, edited by T. Riste (Plenum, New York, 1975); K. Binder, in Proceedings of the VIth International School of Statistical Mechanics, 1980 (unpublished).
S. Coleman, Phys. Rev. D 15, 2929 (1977); C. Callan and S. Coleman, ibid. 16, 1762 (1977); A. Linde, Nucl. Phys. B216, 421 (1983).
H. Georgi and S. Glashow, Phys. Rev. Lett. 32, 438 (1974).
P. Steinhardt and M. Turner, Phys. Rev. D 29, 2162 (1984).

[c1] A. Guth, Phys. Rev. D 23, 347 (1981).

[c2] For recent reviews on inflationary universe models, see e.g., A. Linde, Rep. Prog. Phys. 47, 925 (1984); R. Brandenberger, Rev. Mod. Phys. 51, 1 (1985).

[c3] A. Guth and E. Weinberg, Nucl. Phys. B212, 321 (1983).

[c4] A. Linde, Phys. Lett. 108B, 389 (1982).

[c5] A. Albrecht and P. Steinhardt, Phys. Rev. Lett. 48, 1220 (1982).

[c6] S. Coleman and E. Weinberg, Phys. Rev. D 7, 1888 (1973).

[c7] G. Mazenko, W. Unruh and R. Wald, Phys. Rev. D 31, 273 (1985).

[c8] See, e.g., Q. Shafi and A. Vilenkin, Phys. Rev. Lett. 52, 691 (1984); J. Ellis, D. Nanopoulos, K. Olive and K. Tamvakis, Nucl. Phys. B221, 524 (1983); D. Nanopoulos, K. Olive, M. Srednicki and K. Tamvakis, Phys. Lett. 123B, 41 (1983); B. Ovrut and P. Steinhardt, ibid. 133B, 161 (1983).

[c9] A. Guth and S.-Y. Pi, Phys. Rev. Lett. 49, 1110 (1982); S. Hawking, Phys. Lett. 115B, 295 (1982); A. Starobinsky, ibid. 117B, 175 (1982); J. Bardeen, P. Steinhardt and M. Turner, Phys. Rev. D 28, 679 (1983).

[c10] R. Brandenberger and R. Kahn, Phys. Rev. D 29, 2172 (1984).

[c11] For reviews of quantum field theory in curved space-time, see, e.g., L. Parker, in Asymptotic Structure of Space-Time, edited by F. P. Esposito and L. Witten (Plenum, New York, 1977); B. DeWitt, Phys. Rep. 19C, 295 (1975); G. Gibbons, in General Relativity, An Einstein Centenary Survey, edited by S. Hawking and W. Israel (Cambridge University Press, Cambridge, 1979); N. Birrell and P. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, 1982).

[c12] See, e.g., the last three entries of Ref. 8.

[c13] S. Coleman, private communcation.

[c14] A. Guth and S.-Y. Pi, MIT report, 1985 (unpublished); see also the contribution by A. Guth, in Proceedings of the Inner Space/Outer Space Conference, Fermilab (Chicago University Press, 1985).

[c15] M. Tinkham, Introduction to Superconductivity (McGraw-Hill, Tokyo, 1975), Chap. 7.

[c16] R. Brandenberger and W. Zurek (unpublished).

[c17] A. Albrecht, R. Brandenberger, and R. Matzner (unpublished).

[c18] See, e.g., J. Langer, Physica 73, 61 (1974); J. Langer, in Fluctuations, Instabilities and Phase Transitions, proceedings of the NATO Advanced Studies Institute, edited by T. Riste (Plenum, New York, 1975); K. Binder, in Proceedings of the VIth International School of Statistical Mechanics, 1980 (unpublished).

[c19] S. Coleman, Phys. Rev. D 15, 2929 (1977); C. Callan and S. Coleman, ibid. 16, 1762 (1977); A. Linde, Nucl. Phys. B216, 421 (1983).

[c20] H. Georgi and S. Glashow, Phys. Rev. Lett. 32, 438 (1974).

[c21] P. Steinhardt and M. Turner, Phys. Rev. D 29, 2162 (1984).

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