EEG measures in general represent direct neuronal activity with high time-resolution at the millisecond level, thereby detecting fast, ongoing neural processes underlying oscillatory dynamics [55,56]. The eLORETA, a linear, discrete, three-dimensional weighted minimal norm inverse solution method [42], enables the non-invasive examination of intra-cortical interactions with interpretable spatial resolution [57]. Specifically, the lagged phase synchronization of the eLORETA is predominantly used to assess functional connectivity (e.g., [45,58]), as it represents physiological (neural) information and is minimally affected by the low spatial resolution [42]. To our knowledge, the only study that is available on resting state EEG source (eLORETA) connectivity on alcoholism [59] has examined a limited number of AUD patients (N = 11) who had excessive craving and withdrawal symptoms and found a dense array of hyperconnectivity (i.e., increased FC) in theta band across the regions of reward and executive processing networks. Thus, although neurophysiological markers of AUD at the finer time scale of neural communication can uncover subtle, sensitive, real-time, ongoing neurocognitive dynamics [60,61,62], they remain largely unknown due to paucity of studies. Thus, the current study is the
