Connections between Minkowski and Cosmological Correlation Functions

TL;DR

This paper demonstrates how cosmological correlation functions can be expressed through Minkowski correlation functions, simplifying calculations and enabling the transfer of Minkowski properties to cosmology, with applications to inflation and bounce models.

Contribution

It introduces a method to relate cosmological correlators to Minkowski correlators by extracting symmetry-breaking operators, providing new tools for cosmological calculations.

Findings

Derived relations between inflation and Minkowski correlators.

Translated Minkowski recursion into inflation context.

Simplified cosmological calculations using Minkowski properties.

Abstract

We show how cosmological correlation functions of massless fields can be rewritten in terms of Minkowski correlation functions, by extracting symmetry-breaking operators from the cosmological correlators. This technique simplifies some cosmological calculations. Also, known properties of Minkowski correlation functions can be translated to non-trivial properties of cosmological correlations. To illustrate this idea, inflation to Minkowski and matter bounce to Minkowski relations are presented for the interactions of general single field inflation. And a Minkowski recursion relation is translated to a novel relation for inflation.