added short discussion and reference to note on wolff efficiency for nonlinear sigma models

1 files changed, 8 insertions, 0 deletions

diff --git a/monte-carlo.tex b/monte-carlo.tex
index 96942da..a26fd50 100644
--- a/monte-carlo.tex
+++ b/monte-carlo.tex
@@ -245,6 +245,14 @@ reverse process $P(\set{s'}\to\set s)$ by
 whence detailed balance is also satisfied, using $r=r^{-1}$ and $Z(r\cdot
 s',s')=Z(r\cdot s,s)$.
 
+The Wolff algorithm is well known to be efficient in sampling many spin models
+near and away from criticality, including the Ising, Potts, and $\mathrm O(n)$
+models. In general, its efficiently will depend on the system at hand, e.g.,
+the structure of the configurations $X$ and group $R$. A detailed discussion
+of this dependence for a class of configuration spaces with continuous
+symmetry groups can be found in \cite{caracciolo_generalized_1991,
+caracciolo_wolff-type_1993}.
+
 \section{Adding the field}
 
 This algorithm relies on the fact that the coupling $\J$ depends only on