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Short distance and initial state effects in inflation: Stress tensor and decoherence Paul R. Anderson*

Summary: Short distance and initial state effects in inflation: Stress tensor and decoherence
Paul R. Anderson*
Department of Physics, Wake Forest University, Winston-Salem, North Carolina, 27109, USA
Carmen Molina-Pari´s
Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom,
and Departamento de Matema´ticas, Fi´sica Aplicada y Fi´sico-qui´mica, Facultad de Farmacia,
Universidad San Pablo CEU, E-28660 Madrid, Spain
Emil Mottola
Theoretical Division, T-8, Los Alamos National Laboratory, Los Alamos, New Mexico, 87545, USA
(Received 15 April 2005; published 17 August 2005)
We present a consistent low energy effective field theory framework for parametrizing the effects of
novel short distance physics in inflation, and their possible observational signatures in the cosmic
microwave background. We consider the class of general homogeneous, isotropic initial states for
quantum scalar fields in Robertson-Walker (RW) spacetimes, subject to the requirement that their
ultraviolet behavior be consistent with renormalizability of the covariantly conserved stress tensor which
couples to gravity. In the functional Schro¨dinger picture such states are coherent, squeezed, mixed states
characterized by a Gaussian density matrix. This Gaussian has parameters which approach those of the
adiabatic vacuum at large wave number, and evolve in time according to an effective classical
Hamiltonian. The one complex parameter family of squeezed states in de Sitter spacetime does not
fall into this UV allowed class, except for the special value of the parameter corresponding to the Bunch-


Source: Anderson, Paul R. - Department of Physics, Wake Forest University


Collections: Physics