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arXiv 1107.3513hep-th
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关于de Sitter中质量场的衰变

On the Decay of Massive Fields in de Sitter

Dileep P. Jatkar, Louis Leblond, Arvind Rajaraman

摘要:

d+1维de Sitter空间中m > dH/2的相互作用质量场是基本不稳定的。在这个质量范围内的标量场可以衰变为自身。这个过程(在闵可夫斯基空间中是运动学禁止的)可能会导致传播子和这些场的物理学发生重要变化。我们通过对具有立方相互作用的大质量标量场进行单圈计算来计算这个衰减率。我们通过一致地求解Schwinger-Dyson方程来恢复1-循环结果。我们还执行一个明确的remmation的情况下,所有的链图的延迟传播。衰减率是指数抑制大m/H和平坦空间的答案(消失的衰减率)是在该限制再现。

英文摘要:

Interacting massive fields with m > d H/2 in d+1 dimensional de Sitter space are fundamentally unstable. Scalar fields in this mass range can decay to themselves. This process (which is kinematically forbidden in Minkowski space) can lead to an important change to the propagator and the physics of these fields. We compute this decay rate by doing a 1-loop computation for a massive scalar field with a cubic interaction. We resum the 1-loop result by consistently solving the Schwinger-Dyson equations. We also perform an explicit resummation of all chain graphs in the case of the retarded propagator. The decay rate is exponentially suppressed for large m/H and the flat space answer (vanishing decay rate) is reproduced in that limit.

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