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Abstract
We report results for simulations of the four-dimensional
XY spin-glass using the parallel tempering Monte Carlo method at low
temperatures for moderate sizes.
Our results are qualitatively consistent with earlier work on the
three-dimensional gauge glass as well as three- and four-dimensional
Edwards-Anderson Ising spin glass. An extrapolation of our results would
indicate that large-scale excitations
cost only a finite amount of energy in the thermodynamic limit.
The surface of these excitations may be fractal, although we cannot
rule out a scenario compatible with replica symmetry breaking in which
the surface of low-energy large-scale excitations is space filling.
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