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The critical behavior of the gauge-glass and the XY spin-glass models inthree dimensions is studied by analyzing their nonequilibrium aging dynamics. Anew numerical method, which relies on the calculation of the two-timecorrelation and integrated response functions, is used to determine both thecritical temperature and the nonequilibrium scaling exponents, both for spinand chiral degrees of freedom. First, the ferromagnetic XY model is studied tovalidate this nonequilibirum aging method (NAM), since for this nondisorderedsystem we can compare with known results obtained with standard equilibrium andnonequilibrium techniques. When applied to the case of the gauge-glass model,we show that the NAM allows us to obtain precise and reliable values of itscritical quantities, improving previous estimates. The XY spin-glass model withboth Gaussian and bimodal bond distributions, is analyzed in more detail. Thespin and the chiral two-time correlation and integrated response functions arecalculated in our simulations. The results obtained mainly for Gaussian and, toa lesser extent, for bimodal interactions, support the existence of aspin-chiral decoupling scenario, where the chiral order occurs at a finitetemperature while the spin degrees of freedom order at very low or zerotemperature.

Critical behavior of spin and chiral degrees of freedom in three-dimensional disordered XY models studied by the nonequilibrium aging method