STATIC CHAOS AND SCALING BEHAVIOR IN THE SPIN-GLASS PHASE

We discuss the problem of static chaos in spin glasses. In the case of magnetic-field perturbation, we propose a scaling theory for the spin -glass phase. Using the mean-field approach we argue that some pure st ates are suppressed by the magnetic field and their free-energy cost i s determined by the finite-temperature fixed-point exponents. In this framework, numerical results suggest that mean-field chaos exponents a re probably exact in finite dimensions. If we use the droplet approach , numerical results suggest that the zero-temperature fixed-point expo nent theta is very close to (d - 3)/2. In both approaches d = 3 is the lower critical dimension in agreement with recent numerical simulatio ns.