用Dyson-Schwinger方程恢复de Sitter空间中的红外光谱：阶梯彩虹近似
Resummation of infrared logarithms in de Sitter space via Dyson-Schwinger equations: the ladder-rainbow approximation
摘要：
研究了de Sitter时空中具有四次自相互作用的无质量最小耦合标量量子场论的红外（大分离）行为。我们表明，在相互作用强度的扰动系列是奇异的和长期的，即它不会导致在红外区域的解决方案的一致近似。只有非微扰再成像才能捕捉到正确的红外特性。我们试图证明这一形象使用戴森Schwinger方程的阶梯彩虹近似。我们能够写出一个两点函数服从的常微分方程，并进行渐近分析。事实上，当微扰级数（在任何有限阶截断）在红外线上增长时，完整的非微扰和可能在衰减。
英文摘要：
We study the infrared (large separation) behavior of a massless minimally coupled scalar quantum field theory with a quartic self interaction in de Sitter spacetime. We show that the perturbation series in the interaction strength is singular and secular, i.e. it does not lead to a uniform approximation of the solution in the infrared region. Only a nonperturbative resummation can capture the correct infrared behavior. We seek to justify this picture using the Dyson-Schwinger equations in the ladder-rainbow approximation. We are able to write down an ordinary differential equation obeyed by the two-point function and perform its asymptotic analysis. Indeed, while the perturbative series-truncated at any finite order-is growing in the infrared, the full nonperturbative sum can be decaying.
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