Abstract
Experimental evidence points with ever increasing confidence towards an evolutionary cosmology. The standard framework used to confront this circumstance is the “hot big bang” theory: an initial classical singularity, possibly smeared by unknown quantum effects, produces a thermal distribution of the quanta of the matter field at a temperature close to the Planck temperature (Tp ≃ 1019 Gev). This state then leads to an approximatively adiabatic free expansion. The model explains the background 2.7°K radiation observed in the presently expanding universe. It predicts, when combined with the known weak interaction physics, a primordial helium abundance in remarkable agreement with experimental data. More recently, the embedding of grand unified gauge theories in the big-bang cosmology has led to a plausible qualitative understanding of the small baryon to photon ratio in our universe.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. Casher and F. Englert, Phys. Lett. 104B (1981), 117
A. Casher and F. Englert, “Quantum cosmology and quantum gravity” in preparation.
R.H. Dicke, P.J.E. Peebles, P.G. Roll and D.T. Wilkinson, Ap. J. 142 (1965), 414.
A.A. Penzias and R. W. Wilson, Ap. J. 142 (1965), 419.
For a review of observational data, see G.A. Tamman, A. Sandage and A. Yahil, Physical Cosmology Les Houches Session XXXII (North-Holland Publishing Co, Amsterdam) (1980) and references therein.
J. Ellis, Lectures presented at the 21st Scottish Summer School, ref. TH 2942-CERN (1980) and references therein.
P.J.E. Peebles, Ap. J. 146 (1966), 542.
J. Yang, D.N. Schramm, G. Steigman and R.T. Rood, Ap. J. 227, (1979), 697.
Ya. B. Zeldovich, Zh. Eksp. Theor. Fiz. 48 (1965), 986.
J.C. Pati and A. Salam, Phys. Rev. Lett. 31 (1973) 661
J.C. Pati and A. Salam Phys. Rev. D8 (1973) 1240
J.C. Pati and A. Salam Phys. Rev.D10 (1974), 275.
H. Georgi and S.L. Glashow, Phys. Rev. Lett. 32 (1974), 438.
H. Georgi, H.R. Quinn and S. Weinberg, Phys. Rev. Lett. 33, (1974), 451.
For more recent developments, see reference 4.
F. Englert and R. Brout, Phys. Rev. Lett. L3 (1964), 321.
P.W. Higgs, Phys. Rev. Lett. 12 (1964), 132
P.W. Higgs Phys. Rev. Lett. 13 (1964), 508.
M. Yoshimura, Phys. Rev. Lett. 41 (1978), 381.
M. Yoshimura, Phys. Rev. Lett. E 42 (1976); 746.
S. Dimopoulos, L. Susskind, Phys. Rev. D18 (1978), 4500
D. Toussaint, S.B. Treiman, F. Wilczek and A. Zee, Phys. Rev. D19 (1979), 1036
J. Ellis, M.K. Gaillard and D.V. Nanopoulos, Phys. Lett. 80B (1979), 360.
J. Ellis, M.K. Gaillard and D.V. Nanopoulos, Phys. Lett. E 82B (1979), 464.
S. Weinberg, Phys. Rev. Lett. 42 (1979), 850
A.D. Sakharow, Zh. Eksp. Theor. Fiz. 76 (1979), 1172
S. Dimopoulos and L. Susskind, Phys. Lett. 81B (1979), 416
M. Yoshimura, Phys. Lett. 88B (1979), 294.
R. Brout, F. Englert and E. Gunzig, G.R.G. 10 (1979), 1.
The quantitative solution discussed in section III.1 has been achieved by R. Brout, F. Englert and P. Spindel, Phys. Rev. Lett. 43 (1979), 417; E 43 (1979), 890
For a detailed analysis of the quantum effects in the model, see R. Brout, F. Englert, J.-M. Frère, E. Gunzig, P. Nardone, C. Truffin and P. Spindel, Nucl. Phys. B170 (F.S.1) (1980), 228
A summary of this work can be found in F. Englert, Physical Cosmology, Les Houches Session XXXII (North Holland Publishing Co. Amsterdam) (1980).
Study of particle creation from cosmological expansion was initiated by L. Parker, Phys. Rev. 183 (1969), 1057.
For further developments, see L. Parker “The production of elementary particles by strong gravitational fields” Proceedings of the Symposium on Asymptotic Properties of Space-Time (Plenum New York) (1977) and references therein.
P. Spindel, “Mass formula in a cosmological model”, Mons University preprint (1981); to be published in Phus. Lett. B
S.W. Hawking, Nature 248 (1974), 30.
S.W. Hawking, Comm. Math. Phys. 43 (1975), 199.
W. Unruh, Phys. Rev. D14 (1976), 870.
B.S. De Witt, Phys. Reports 19 (1975), 295.
J.D. Bekenstein, Phys. Rev. D12 (1975), 3077.
S.W. Hawking, Phys. Rev. D13 (1976), 191.
G. Birkhoff, Relativity and Modern Physics, (Harvard University Press, Cambridge, Mass. (1923)).
G.W. Gibbons and S.W. Hawking, Phys. Rev. D15 (1977), 2738.
The idea that the universe could originate in a quantum fluctuation was proposed by E.P. Tryon, Nature 246 (1973), 396, who envisaged a global quantum effect. The possibility of generating a universe from a local quantum fluctuation which is used here was the basic motivation of reference 11.
In reference 11, the compatibility of an initial local fluctuation with the existence of an unbounded universe required the assumption of an unexplained phase transition. Tentative ways of avoiding this phase transition in the context of an unbounded universe have been recently proposed by J.R. Gott III, Nature (1981)
D. Atkatz and H. Pagels “The origin of the universe as a quantum tunneling event”, Rockefeller University preprint RU 81/B/2 (1981).
It is interesting to note that curvatures k/a2 yield thermal distributions for massless particles with a temperature T = l/2πa. This comes about if k = - 1 from a coordinate transformation effect 11) 12) and for k = + 1 from a Casimir effect which is in fact equivalent to a thermal distribution 12). As for a ≃ τ this temperature is precisely what is required to seize black hole formation by the self-consistent process, the formation of a universe from the metric fluctuation at the scale ain ≃ τ appears indeed “natural”.
To our knowledge the idea that the arrow of time may fluctuate is due to Y. Aharonov (private communication).
This structure is reminiscent of “foams” discussed by C.W. Misner, K.S. Thorne, J.A. Wheeler, Gravitation (W.H. Freeman and Co, San Francisco) (1973);
S.W. Hawking “The path integral approach to quantum gravity” published in General Relativity (Cambridge University Press, ed. S.W. Hawking and W. Israel) (1979)
S.W. Hawking, Phys. Rev. D14 (1976), 2460.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1982 Plenum Press, New York
About this chapter
Cite this chapter
Englert, F. (1982). Quantum Field Theory and Cosmology. In: Lévy, M., Basdevant, JL., Speiser, D., Weyers, J., Jacob, M., Gastmans, R. (eds) Fundamental Interactions. NATO Advanced Study Institutes Series, vol 85. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3551-1_13
Download citation
DOI: https://doi.org/10.1007/978-1-4613-3551-1_13
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-3553-5
Online ISBN: 978-1-4613-3551-1
eBook Packages: Springer Book Archive