97-623 Mazza C.

Gauge symmetries and percolation in +-J Ising spin glasses (192K, PS) Dec 11, 97

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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.

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