Lambda cdm from quantum field theory in curved space time

Lambda cdm from quantum field theory in curved space time for free#
Lambda cdm from quantum field theory in curved space time full#

Our main focus is on the theory of a scalar field, but a brief discussion of gauge fields is included. We give a brief account on the quantization of the free scalar field and its Wick powers in terms of an algebra of functionals on configuration. To think that this also proves that there is anything physically curved is a mistake in my opinion. The reason is that without measuring the curvature of spacetime, one can only measure energy differences. But as long as one is ignoring gravity, one can add any constant to ones definition of energy density without changing the predictions for anything you can experimentally measure.

Lambda cdm from quantum field theory in curved space time full#

Interacting fields are then perturbatively constructed. The aim of this review is to outline a full route from the fundamental principles of algebraic quantum field theory on curved spacetime in its present-day form to explicit phenomenological applications which allow for comparison with experimental data. Answer (1 of 2): This curvature is a mathematical property and a model to describe the behavior of gravity. Quantum field theory as it is ordinarily done ignores gravity. The вЂњrenormalization ambiguitiesвЂќ involved in the definition of time-ordered products are fully characterized.

We review how nonlinear observables of a free field, such as the stressвЂ“energy tensor, are defined, as well as time-ordered-products.

Lambda cdm from quantum field theory in curved space time for free#

We review the Unruh and Hawking effects for free fields, as well as the behavior of free fields in deSitter spacetime and FLRW spacetimes with an exponential phase of expansion. Particular attention is paid to the distributional nature of quantum fields, to their local and covariant character, and to microlocal spectrum conditions satisfied by physically reasonable states. Our review emphasizes the conceptual issues arising in the formulation of the theory and presents known results in a mathematically precise way. We consider a class of such experiments performable at any regular point of any space-time, which includes all terrestrial particle experiments as well as asymptotic observations of an evaporating black hole. We review the theory of quantum fields propagating in an arbitrary, classical, globally hyperbolic spacetime. It is well known that the existence of quanta or particles of a given field is directly revealed by only a subset of all possible experiments with the field.