标题： 德西特空间中最小耦合标量场的古普塔-布雷勒量子化 显示英文标题

标题： Gupta-Bleuler quantization for minimally coupled scalar fields in de Sitter space

摘要： 本文我们提出了一种在德西特空间上最小耦合无质量场的完全协变量子化方法。 因此，我们得到了一种没有任何红外（例如对数）发散的理论形式。 我们的方法基于严格的群论方法，并结合了适用于无质量场的Wightman-Gärding公理体系（Gupta-Bleuler方案）的适当适应（Krein空间）。 我们明确地建立了德西特群的不可约酉表示与德西特时空上的场论之间的对应关系。 最小耦合的无质量场与德西特群的不可约酉表示的离散序列中的最低项相对应。 尽管该理论中存在负范数模态，但无法测量到负能：表达式$\le n_{k_1}n_{k_2}...|T_{00}|n_{k_1}n_{k_2}...\re$始终为正。 显示英文摘要

摘要： We present in this paper a fully covariant quantization of the minimally-coupled massless field on de Sitter space. We thus obtain a formalism free of any infrared (e.g logarithmic) divergence. Our method is based on a rigorous group theoretical approach combined with a suitable adaptation (Krein spaces) of the Wightman-G\"{a}rding axiomatic for massless fields (Gupta-Bleuler scheme). We make explicit the correspondence between unitary irreducible representations of the de Sitter group and the field theory on de Sitter space-time. The minimally-coupled massless field is associated with a representation which is the lowest term of the discrete series of unitary representations of the de Sitter group. In spite of the presence of negative norm modes in the theory, no negative energy can be measured: expressions as $\le n_{k_1}n_{k_2}...|T_{00}|n_{k_1}n_{k_2}...\re$ are always positive.