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39:, actually was first obtained by N.A. Chernikov and E. A. Tagirov, in 1968 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. 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
31:: 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
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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".
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Greene, Brian R; Parikh, Maulik K; van der Schaar, Jan Pieter (28 April 2006). "Universal correction to the inflationary vacuum".
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Greene, Brian R; Parikh, Maulik K; van der Schaar, Jan Pieter (28 April 2006). "Universal correction to the inflationary vacuum".
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observer, that is, an observer who is in free fall in the expanding state. The state explains the origin of
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Armendariz-Picon, C (26 February 2007). "Why should primordial perturbations be in a vacuum state?".
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Chernikov, N.A.; Tagirov, E. A. (1968). "Quantum theory of scalar field in de Sitter space-time".
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Danielsson, Ulf H; Olsson, Martin E (15 March 2004). "On thermalization in de Sitter space".
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