Exact Correlation Functions in the Brownian Loop Soup
arXiv:1912.00973 · doi:10.1007/JHEP07(2020)067
Abstract
We compute analytically and in closed form the four-point correlation function in the plane, and the two-point correlation function in the upper half-plane, of layering vertex operators in the two dimensional conformally invariant system known as the Brownian Loop Soup. These correlation functions depend on multiple continuous parameters: the insertion points of the operators, the intensity of the soup, and the charges of the operators. In the case of the four-point function there is non-trivial dependence on five continuous parameters: the cross-ratio, the intensity, and three real charges. The four-point function is crossing symmetric. We analyze its conformal block expansion and discover a previously unknown set of new conformal primary operators.
arXiv comment28 pages, 2 figures; Eq. (20) corrected
References in corpus (10)
- Structure Constants and Conformal Bootstrap in Liouville Field Theory
- On Correlation Functions for Non-critical Strings with c<1 but d>1
- A conformal bootstrap approach to critical percolation in two dimensions
- Three-point functions in c <= 1 Liouville theory and conformal loop ensembles
- Random soups, carpets and fractal dimensions
- Eternal Inflation, Bubble Collisions, and the Disintegration of the Persistence of Memory
- A Conformal Field Theory for Eternal Inflation
- Conformal Correlation Functions in the Brownian Loop Soup
- Twist operator correlation functions in O(n) loop models
- Correlation functions of twist operators applied to single self-avoiding loops