nLab Brownian loop soup

Idea

(…)

Related entries

• Brownian motion

• conformal field theory

• loop space

References

The original article:

• Gregory F. Lawler, Wendelin Werner, The Brownian loop soup, Probab. Th. Rel. Fields 128 (2004) 565-588 [arXiv:math/0304419, doi:10.1007/s00440-003-0319-6]

Relation to conformal field theory:

• Federico Camia, Valentino Foit, Alberto Gandolfi, Matthew Kleban, Scalar conformal primary fields in the Brownian loop soup [arXiv:2109.12116]

• Federico Camia, Valentino Foit, Alberto Gandolfi, Matthew Kleban, The Brownian loop soup stress-energy tensor [arXiv:2112.00074, doi:10.1007/JHEP11(2022)009]

Review:

• Valentino Foit, Brownian loops and conformally invariant systems, talk at CQTS (Nov 2022) [pdf, video: rec]

See also:

• Amin Moharramipour, Dan Sehayek, Thomas Scaffidi, Solvable models for 2+1D quantum critical points: Loop soups of 1+1D conformal field theories [arXiv:2310.00037]