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Connections between Minkowski and Cosmological Correlation Functions

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arxiv 1803.09637 v2 pith:RCIC4GVR submitted 2018-03-26 hep-th astro-ph.CO

classification hep-thastro-ph.CO
keywords minkowskicosmologicalcorrelationfunctionsinflationpropertiesrelationtranslated
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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.

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    A rolling axion-like coupling to a massive gauge boson generates a CP-odd imaginary trispectrum of primordial fluctuations, while local four-scalar EFT operators in exact de Sitter space produce no observable signal.

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