论文标题

$ λϕ^4 $现场理论的绝热正则化和首选真空状态

Adiabatic regularization and preferred vacuum state for the $λϕ^4$ field theory in cosmological spacetimes

论文作者

Ferreiro, Antonio, Pla, Silvia

论文摘要

我们通过在Friedmann-Lema-Robertson-Walker(FLRW)时空引入了一个量子型场的任意参数$μ$来扩展绝热正则化的方法。从此扩展版本构建的减法项使我们能够在固定时间定义首选的真空状态,以$η=η_0$为此理论。我们为宇宙学中两个常用的背景字段计算真空状态。我们还为$μ$的足够价值提供了可能的处方。

We extend the method of adiabatic regularization by introducing an arbitrary parameter $μ$ for a scalar field with quartic self-coupling in a Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime at one-loop order. The subtraction terms constructed from this extended version allow us to define a preferred vacuum state at a fixed time $η= η_0$ for this theory. We compute this vacuum state for two commonly used background fields in cosmology. We also give a possible prescription for an adequate value for $μ$.

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