Learning Quantum Field Theory (QFT) in just one month after studying introductory quantum mechanics is an ambitious goal. QFT is a highly advanced and mathematically sophisticated subject that builds upon concepts from quantum mechanics and classical field theory. It requires a solid foundation in mathematics, including calculus, linear algebra, and differential equations.
While reading through Griffiths' introductory text on quantum mechanics is a good starting point, it may not provide you with the necessary background to fully grasp QFT. QFT involves the quantization of fields, such as the electromagnetic field or the quantum field describing particles, and it requires a deep understanding of Lagrangian and Hamiltonian mechanics, symmetries and conservation laws, and advanced mathematical techniques like Fourier transforms and group theory.
To learn QFT comprehensively in such a short timeframe, you would likely need to dedicate significant time and effort, including studying from specialized textbooks or taking a formal course. It's important to engage with the subject matter by working through exercises, solving problems, and seeking guidance when needed.
That being said, learning the basics and gaining a general understanding of some fundamental concepts in QFT within a month might be achievable. This could include concepts like Feynman diagrams, particle creation and annihilation, and the interpretation of propagators. However, acquiring a deep understanding of the mathematical framework, advanced techniques, and more advanced topics in QFT would require a longer-term commitment and study.
Remember that everyone learns at their own pace, and the complexity of QFT may vary depending on your background in mathematics and physics. Setting realistic expectations and being prepared for a long-term learning process can help you make the most of your study efforts.