论文标题
真正的标量场，非权威主义极限和宇宙学扩展
Real scalar field, non-relativistic limit, and cosmological expansion
论文作者
论文摘要
Namjoo，Guth和Kaiser从Minkowski空间推广到更通用的背景度量的现有从相对论的真实标量场到复杂的非相关标量场的转换。在这种情况下，转换不再纯粹是代数，而是由微分方程决定。我们将广义转换应用于Friedmann-Lema-Robertson-Walker宇宙学上扩展的背景上的$ ϕ^4 $相互作用的真实标量，并计算出小参数中最高为二阶的非权利性动作。我们还表明，转变可以解释为相对论和非忠实创造和歼灭操作员之间的Bogoliubov转换，并评论非权利论理论中新兴的对称性。
The existing transformation from a relativistic real scalar field to a complex non-relativistic scalar field by Namjoo, Guth, and Kaiser is generalized from Minkowski space to a more general background metric. In that case the transformation is not purely algebraic any more but determined by a differential equation. We apply the generalized transformation to a real scalar with $ϕ^4$ interaction on an Friedmann-Lemaître-Robertson-Walker cosmologically expanding background and calculate the resulting non-relativistic action up to second order in small parameters. We also show that the transformation can be interpreted as a Bogoliubov transformation between relativistic and non-relativistic creation and annihilation operators and comment on emerging symmetries in the non-relativistic theory.
