Bunch–Davies vacuum
In
isometries: the alpha-vacua. Among them there is a particular one whose associated Green functions verify a condition (Hadamard condition) consisting to behave on the light-cone as in flat space. This state is usually called the Bunch–Davies vacuum or Euclidean vacuum,[1]
actually was first obtained by N.A. Chernikov and E. A. Tagirov, in 1968[2] and later by C. Schomblond and P. Spindel, in 1976, in the framework of a general discussion about invariant Green functions on de Sitter space.[3]
The Bunch–Davies vacuum can also be described as being generated by an infinite time trace from the condition that the scale of quantum fluctuations is much smaller than the
The Bunch–Davies state is the zero-particle state as seen by a geodesic observer, that is, an observer who is in free fall in the expanding state.[6] The state explains the origin of cosmological perturbation fluctuations in inflationary models.
See also
References
- ^
Bunch, Timothy Stephen; S2CID 121912658.
- Bibcode:1968AnHP....9..109C.
- ^ Schomblond, Christiane; Spindel, Philippe (1976). "Conditions d'unicit e pour le propagateur Delta 1(x; y) du champ scalaire dans l'univers de de Sitter". Annales de l'Institut Henri Poincaré. A. XXV, 1: 67.
- S2CID 16226660.
- S2CID 33049406.
- S2CID 16290999.
Further reading
- Greene, Brian R; Parikh, Maulik K; van der Schaar, Jan Pieter (28 April 2006). "Universal correction to the inflationary vacuum". Journal of High Energy Physics. 2006 (4): 057. S2CID 16290999.
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