Quantum Field Theory: Foundations of Particles and Fields

Quantum Field Theory (QFT) is the essential framework that unifies quantum mechanics with special relativity, forming the foundation of modern particle physics. If you are ready to move beyond non-relativistic quantum mechanics, this course provides the rigorous, step-by-step introduction you need. By the end of this course, you will have a solid grasp of the core mathematical formalism of QFT, allowing you to describe and calculate the behavior of fundamental particles and their interactions using established theoretical methods. What you'll learn: * Learn the classical field theory formalism using Lagrangians and Hamiltonians, including Noether's theorem and conservation laws. * Master canonical quantization techniques for free scalar fields and the Dirac field, establishing particle creation and annihilation operators. * Understand the physical interpretation of propagators, scattering amplitudes, and basic perturbation theory calculations. * Apply the rules for constructing and interpreting simple Feynman diagrams to visualize particle interactions. * Explore the concepts of symmetry breaking and the introduction to the path integral approach for advanced field theories. * Practice solving problems involving particle decay and scattering processes in simplified QFT models. The material begins with a thorough review of classical field theory before diving into canonical quantization. We then systematically build up the tools necessary for interacting theories, culminating in an introduction to perturbation theory and diagrammatic techniques. This course is designed for absolute beginners in Quantum Field Theory. While no prior QFT experience is required, familiarity with classical mechanics, special relativity, and non-relativistic quantum mechanics is assumed. Start building your expertise in theoretical physics today.