PIRSA:12060041

A Fully-Relativistic Bandlimit on Quantum Fields' Two-Point Correlation Functions

Chatwin-Davies, A. (2012). A Fully-Relativistic Bandlimit on Quantum Fields' Two-Point Correlation Functions. Perimeter Institute. https://pirsa.org/12060041

Chatwin-Davies, Aidan. A Fully-Relativistic Bandlimit on Quantum Fields' Two-Point Correlation Functions. Perimeter Institute, Jun. 27, 2012, https://pirsa.org/12060041 

          @misc{ pirsa_PIRSA:12060041,
            doi = {10.48660/12060041},
            url = {https://pirsa.org/12060041},
            author = {Chatwin-Davies, Aidan},
            keywords = {},
            language = {en},
            title = {A Fully-Relativistic Bandlimit on Quantum Fields{\textquoteright} Two-Point Correlation Functions},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {jun},
            note = {PIRSA:12060041 see, \url{https://pirsa.org}}
          }

Aidan Chatwin-Davies

University of British Columbia

Talk number
PIRSA:12060041
Collection
Talk Type
Abstract
The bridge between continuous information and discrete information is provided by sampling theory. In this talk, I will discuss an application of covariant sampling theory to cosmology (see the previous talk by Dr. R. Martin). In cosmology, the two-point correlation function of a quantum field is of central importance because it is a measure of the size of the fluctuations of the quantum field and of the entanglement of the vacuum in a given spacetime. Furthermore, the two-point function is experimentally accessible through the cosmic microwave background. Using covariant sampling theory, I will show how an information-theoretic bandlimit imposed at the Planck scale manifests itself in the two-point function. We will examine this bandlimit in Minkowski space and in de Sitter space.