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Abstract
The vacuum state  or any other state of finite energy  is not an eigenstate of any smeared (averaged) local quantum field. The outcomes (spectral values) of
repeated measurements of that averaged local quantum field are therefore distributed according to a nontrivial probability distribution.
In this paper, we study probability distributions for the smeared stress tensor in two dimensional conformal quantum field theory.
We first provide a new general method for this task based on the famous conformal welding problem in complex analysis.
Secondly, we extend the known moment generating function method of Fewster, Ford and Roman. Our analysis provides new explicit probability distributions for the smeared
stress tensor in the vacuum for various infinite classes of smearing functions. All of these turn out to be given in the end by a shifted Gamma distribution, pointing, perhaps, at a distinguished role of this distribution in the problem at hand.
repeated measurements of that averaged local quantum field are therefore distributed according to a nontrivial probability distribution.
In this paper, we study probability distributions for the smeared stress tensor in two dimensional conformal quantum field theory.
We first provide a new general method for this task based on the famous conformal welding problem in complex analysis.
Secondly, we extend the known moment generating function method of Fewster, Ford and Roman. Our analysis provides new explicit probability distributions for the smeared
stress tensor in the vacuum for various infinite classes of smearing functions. All of these turn out to be given in the end by a shifted Gamma distribution, pointing, perhaps, at a distinguished role of this distribution in the problem at hand.
Original language  English 

Pages (fromto)  134 
Number of pages  34 
Journal  Letters in Mathematical Physics 
Publication status  Published  5 Sep 2018 
Bibliographical note
© The Author(s) 2018Activities
 1 Lecture

The probability distribution of stressenergy measurement outcomes in QFT
Chris Fewster (Invited speaker)
26 Nov 2019Activity: Talk or presentation › Lecture