Mazza C.
Gauge symmetries and percolation in +-J Ising spin glasses
(192K, PS)
ABSTRACT. We consider the $\pm$ J spin glass on a finite
graph $G=(V,E)$, with i.i.d. couplings.
Our approach considers the ${\bf Z}_2$
local gauge invariance of the system.
We see the gauge group as a graph
theoretic linear code ${\cal C}$ over
$GF(2)$. The gauge
is fixed by choosing a convenient
linear supplement of ${\cal C}$.
Assuming some relation between
the disorder parameter $p$ and
the inverse temperature of the thermal
bath $\beta_{p_b}$, we study
percolation
in the random interaction random cluster model,
and extend the results to dilute spin glasses.