569 research outputs found
Raymond Stora and Les Houches 1970
The marvelous Les Houches summer school of 1970 bore the trademark of Raymond
Stora
Replica Condensation and Tree Decay
We give an intuitive method--using local, cyclic replica symmetry--to isolate
exponential tree decay in truncated (connected) correlations. We give an
expansion and use the symmetry to show that all terms vanish, except those
displaying {\em replica condensation}. The condensation property ensures
exponential tree decay.
We illustrate our method in a low-temperature Ising system, but expect that
one can use a similar method in other random field and quantum field problems.
While considering the illustration, we prove an elementary upper bound on the
entropy of random lattice surfaces
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