Attractor states and infrared scaling in de Sitter space -: art. no. 124019

被引:57
作者
Anderson, PR [1 ]
Eaker, W
Habib, S
Molina-París, C
Mottola, E
机构
[1] Wake Forest Univ, Dept Phys, Winston Salem, NC 27109 USA
[2] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[3] INTA, CSIC, Ctr Astrobiol, E-28850 Madrid, Spain
关键词
D O I
10.1103/PhysRevD.62.124019
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The renormalized expectation value of the energy-momentum tensor for a scalar field with any mass m and curvature coupling xi is studied for an arbitrary homogeneous and isotropic physical initial state in de Sitter spacetime. We prove quite generally that (T-ab) has a fixed point attractor behavior at late times, which depends only on m and xi, for any fourth order adiabatic state that is infrared finite. Specifically, when m(2)+xiR>0, (T-ab) approaches the Bunch-Davies de Sitter invariant value at late times, independently of the initial state. When m = xi = 0, it approaches instead the de Sitter invariant Allen-Folacci value. When m = 0 and xi greater than or equal to0 we show that the state independent asymptotic value of the energy-momentum tensor is proportional to the conserved geometrical tensor H-(3)(ab), which is related to the behavior of the quantum effective action of the scalar field under global Weyl rescaling. This relationship serves to generalize the definition of the trace anomaly in the infrared for massless, nonconformal fields. In the case m(2) + xiR = 0, but m and xi separately different from zero, (T-ab) grows linearly with cosmic time at late times. For most values of m(2) and xi in the tachyonic cases, m(2) + xiR<0, (T-ab) grows exponentially at late cosmic times for all physically admissible initial states.
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页码:1 / 24
页数:24
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