VACUUM STATES IN DE-SITTER SPACE
VACUUM STATES IN DE-SITTER SPACE
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DOI：
10.1103/physrevd.32.3136
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发表时间：
1985-01-01
影响因子：
5
通讯作者：
ALLEN, B
中科院分区：
文献类型：
--
作者：
ALLEN, B
我们研究了de Sitter空间中标量场可能的真空态，主要集中在那些态(1)在de Sitter群O(1，4)下不变或(2)在它的极大子群E(3)下不变。对于大质量场，存在一个复参数族的de Sitter不变态，它包括了作为特例的‘’欧几里德‘’真空态。我们证明了这些态是通过频率无关的Bogoliubov变换从欧几里得真空中产生的，并得到了对称、反对称和Feynman函数的公式。在无质量最小耦合情况下，我们证明了不存在de Sitter不变的Fock真空态。然而，人们可以找到E(3)不变的Fock态。这些态包括束-戴维斯真空态和奥特威尔-纳吉米真空态作为特例。
We examine possible vacuum states for scalar fields in de Sitter space, concentrating on those states (1) invariant under the de Sitter group O (1, 4) or (2) invariant under one of its maximal subgroups E (3). For massive fields there is a one-complex-parameter family of de Sitter-invariant states, which includes the ‘‘Euclidean’’vacuum state as a special case. We show these states are generated from the Euclidean vacuum by a frequency-independent Bogoliubov transformation, and obtain formulas for the symmetric, antisymmetric, and Feynman functions. In the massless minimally coupled case we prove that there exists no de Sitter-invariant Fock vacuum state. However one can find Fock states which are E (3) invariant. These states include the Bunch-Davies and Ottewill-Najmi vacua as special cases.