Explicit examples of probability distributions for the energy density in two-dimensional conformal field theory

TY - JOUR

T1 - Explicit examples of probability distributions for the energy density in two-dimensional conformal field theory

AU - Anthony, Matthew

AU - Fewster, Chris

N1 - This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.

PY - 2020/1/22

Y1 - 2020/1/22

N2 - Measurements of a weighted energy density average taken in the vacuum state of a conformal field theory in 1+1 dimensions are randomly distributed with vanishing expectation value. The probability distribution is computed in closed form for two infinite families of averaging functions, generalising previously known examples. These examples may be further generalised by restriction to a half-line In all cases the distribution is that of a shifted Gamma distribution.

AB - Measurements of a weighted energy density average taken in the vacuum state of a conformal field theory in 1+1 dimensions are randomly distributed with vanishing expectation value. The probability distribution is computed in closed form for two infinite families of averaging functions, generalising previously known examples. These examples may be further generalised by restriction to a half-line In all cases the distribution is that of a shifted Gamma distribution.

U2 - 10.1103/PhysRevD.101.025010

DO - 10.1103/PhysRevD.101.025010

M3 - Article

VL - 101

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

M1 - 025010

ER -