Background: Obesity is one of the most important diseases around the globe; with a continuous increase and public health concern. Current treatments present some limitations. Craving is a symptom usually noticeable and has been described as a "strong desire or urge to use", especially with foods. The vagus nerve and its relations to the neurocircuitry of the reward system play essential roles in food intake regulation and this can be done transcutaneously trough the auricular branch of the vagus nerve (taVNS). Based on the neurobiology of food craving and on the initial data on taVNS demonstrating safety and efficacy in open-label and randomized sham controlled trials, the investigators propose the first randomized, sham controlled, triple-blind trial on taVNS for food craving in obesity.