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Field theory is a branch of theoretical physics and mathematics that studies the behavior of physical systems through the concept of fields, which assign quantities to each point in space and time. It provides a mathematical framework for understanding fundamental forces in nature such as electromagnetism and the weak and strong nuclear forces. In the hierarchy of Science/Mathematics/Quantum Field Theory, field theory specifically deals with the quantization of these classical fields, leading to the development of quantum field theory. The focus is on the dynamics of particles and their interactions, described by mathematical equations that capture the fundamental laws of physics. This subcategory encompasses a wide range of topics including symmetry breaking, renormalization, and the Standard Model of particle physics. It forms the foundation for further study in advanced areas such as string theory and beyond.