This chapter presents a mathematical framework for modeling connected vehicles, an emerging transportation paradigm where vehicles are able to communicate with each other and the roadside. In this framework, highways and vehicles are perceived as a field by a subject driver whose driving strategy is to navigate through the field along its valley. With Field Theory as a basis, strategies of integrating the effects introduced by connected vehicles are discussed. Directions of applications of Field Theory are highlighted. In addition, two concrete examples are provided to further illustrate application details.