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

Abstract

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.

arXiv comment6pp

References in corpus (10)

• Quantum Energy Inequalities in two-dimensional conformal field theory
• Probability distributions of smeared quantum stress tensors
• Probability distributions for quantum stress tensors in four dimensions
• Probability Distributions for Quantum Stress Tensors Measured in a Finite Time Interval
• On the uniqueness of diffeomorphism symmetry in Conformal Field Theory
• Probability distributions for the stress tensor in conformal field theories
• Vacuum Radiation Pressure Fluctuations and Barrier Penetration
• Probability Distributions for Space and Time Averaged Quantum Stress Tensors
• Vacuum Quantum Stress Tensor Fluctuations: A Diagonalization Approach
• Solitons and nonsmooth diffeomorphisms in conformal nets

Cited by in corpus (4)

• Probability Distributions for Space and Time Averaged Quantum Stress Tensors
• Quantum Fluctuations of Fields and Stress Tensors
• Frequency Spectra Analysis of Space and Time Averaged Quantum Stress Tensor Fluctuations
• Probability Distribution for Vacuum Energy Flux Fluctuations in Two Spacetime Dimensions