TY - JOUR
T1 - Exact correlation functions in the Brownian Loop Soup
AU - Camia, Federico
AU - Foit, Valentino F.
AU - Gandolfi, Alberto
AU - Kleban, Matthew
N1 - Publisher Copyright:
© 2020, The Author(s).
PY - 2020/7/1
Y1 - 2020/7/1
N2 - 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.
AB - 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.
KW - Conformal Field Theory
KW - Integrable Field Theories
KW - Random Systems
KW - Stochastic Processes
UR - http://www.scopus.com/inward/record.url?scp=85087760824&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85087760824&partnerID=8YFLogxK
U2 - 10.1007/JHEP07(2020)067
DO - 10.1007/JHEP07(2020)067
M3 - Article
AN - SCOPUS:85087760824
SN - 1126-6708
VL - 2020
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 7
M1 - 67
ER -