Video games and gaming has lead to an explosion of research and scholarship that cross disciplinary boundaries. You can find research on the psychology of video gaming, the art of video games, video games as literature (story and character, for example), the social aspects of gaming, the educational uses of games, the business of video games, the technology of video game creation, and many, many more examples.
Research and scholarship is disseminated through books and journal articles. Journal articles will let you track the most current work and trends in research and thought about gaming and video games. The resources below are some prime sources for finding current and past research.