Low-temperature dynamic behavior of spherical p-spin model of glass in oscillating field

The Schwinger bound dynamic equations are applied by studying the nonequilibrium dynamics of the p-spin glass model for the autocorrelation function and linear response function. The behavior of the correlation and response functions as well as the integral response in dependence on the waiting time, interspin interaction force, external alternating current amplitude and frequency is studied. The behavior of the above-mentioned functions, modified by external perturbation, is identified. The above study is carried out in the glass phase or in the paraphase, depending on the spin system parameters and external perturbation, whereby the transition between the glass state and paramagnetic state is proved. The critical values of the system and external perturbation parameters, effecting the glass state or paramagnetic state, are determined