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V. Assassi, D. Baumann, and D. Green, “On Soft Limits of Inflationary Correlation Functions,” JCAP
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2012
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2021

From Amplitudes to Contact Cosmological Correlators

Bonifacio, James, Pajer, Enrico, Wang, Dong-Gang

Understand

Our understanding of quantum correlators in cosmological spacetimes, including those that we can observe in cosmological surveys, has improved qualitatively in the past few years.

Now we know many constraints that these objects must satisfy as consequences of general physical principles, such as symmetries, unitarity and locality.
Using this new understanding, we derive the most general scalar four-point correlator, i.e., the trispectrum, to all orders in derivatives for manifestly local contact interactions.
To obtain this result we use techniques from commutative algebra to write down all possible scalar four-particle amplitudes without assuming invariance under Lorentz boosts.