paper

Big Steve and the State of the Universe

arXiv:2303.05111 · doi:10.3390/sym15040856

Abstract

I share some reminiscences of the late Steven Weinberg. Then I discuss a topic in quantum field theory which he taught me: the role of state wave functionals in deriving the term of the Feynman propagator when using the functional formalism. This is perhaps a curiosity for in-out scattering amplitudes on flat space backgrounds, but it is has much greater significance for the in-in amplitudes of the Schwinger-Keldysh formalism in cosmology. It also touches on the fate, about which Weinberg wondered, of the large logarithms one sometimes finds in quantum corrections from inflationary particle production.

19 pages, uses LaTeX2e, written for a special issue of Symmetry Commemorating Steven Weinberg. Version 2 slightly revised for publication

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