Renormalized Brownian loop soup layering fields converge in an appropriate Sobolev sense to a tilted imaginary Gaussian multiplicative chaos with covariance kernel given by the Brownian loop measure.
Exact Correlation Functions in the Brownian Loop Soup
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
fields
math.PR 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Brownian Loops, Layering Fields and Imaginary Gaussian Multiplicative Chaos
Renormalized Brownian loop soup layering fields converge in an appropriate Sobolev sense to a tilted imaginary Gaussian multiplicative chaos with covariance kernel given by the Brownian loop measure.