Inflation explains why the universe is big, full of matter, and approximately spatially homogeneous, isotropic and flat on the largest observable scales. It also produces curvature perturbations which eventually grow to produce all the structure in the observable universe. These curvature perturbations also provide a unique observational opportunity to determine the more detailed properties of inflation. The standard formulae relating the spectrum of curvature perturbations to the proper-ties of inflation can be incorrect even in the context of slow-roll inflation and current observational bounds. E. D. Stewart provided new formulae, which are robust, to leading order. These formulae will clearly be important if one wants to use observations to probe the properties of inflation in a model independent way. Following the same motivation and formalism, in this paper I calculate the series formula up to second order.
이 논문에서는 일반적 slow-roll 근사에서 2차까지의 보정을 포함하여 인플레이션 과정 중 일어난 밀도 건드림의 파워 스펙트럼에 대한 급수 공식을 구하였다. 파워 스펙트럼이 일반적 slow-roll 근사에서 급수로서 일반적으로 어떻게 주어지는 지 2차 보정을 포함하여 표현하였고, 이 때의 계수들에 대한 생성함수를 구하였다.
