论文标题

除了缓慢滚动的随机方法,De Sitter中的自由标量相关器

Free scalar correlators in de Sitter via the stochastic approach beyond slow roll

论文作者

Cable, Archie, Rajantie, Arttu

论文摘要

在Sitter时空中计算标量相关函数的随机方法扩展到了过度阻尼的“慢速”近似值之外。我们表明,使用正确的噪声项,它重现了自由场理论中场相关因子的确切渐近长距离行为,从而证明了该技术的生存能力。但是,我们还表明,通过在地平线上引入截止值来计算噪声项的幼稚方法,除非选择截止值以给出所需的结果,否则不能给出正确的答案。我们讨论了这对互动理论的含义。

The stochastic approach to calculating scalar correlation functions in de Sitter spacetime is extended beyond the overdamped "slow roll" approximation. We show that with the correct noise term, it reproduces the exact asymptotic long-distance behaviour of field correlators in free field theory, thereby demonstrating the viability of the technique. However, we also show that the naïve way of calculating the noise term by introducing a cut-off at the horizon does not give the correct answer unless the cut-off is chosen specifically to give the required result. We discuss the implications of this for interacting theories.

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