Recommended Books for Learning Quantum Field Theory with Undergraduate Math Background
If you are looking to learn quantum field theory (QFT) without any prior knowledge of particle physics or advanced mathematics but with an undergraduate level understanding of mathematics, there are a few books that stand out. One such book that fits your criteria is A Unified Grand Tour of Theoretical Physics by Ian D. Lawrie. This book covers a wide range of topics, including QFT, and is known for its comprehensive approach to theoretical physics.
Understanding the Challenges
While A Unified Grand Tour of Theoretical Physics is comprehensive, it is not designed as an introductory text. Lawrie's book is more suited for students who have a solid grasp of the fundamentals and are looking to synthesize their knowledge. The book is not an easy read, and you may find it challenging to learn from it without prior knowledge and experience in the field.
A close second recommendation is Foundations of Physics by Roger H. B. Lindsay and Henry Margenau. This book is more pedagogical, making it slightly easier to follow. It covers quantum mechanics, although it might not delve deeply into field theory as it was written in 1936, which explains some of its limitations. Despite the dated content, if you are a bright student, it could still be a useful resource for self-study, but be prepared to invest a significant amount of time, as the book spans over 600 pages.
Prime the Pump for QFT Study
Mastering QFT will require years of dedicated study and multiple resources. Even with an undergraduate background in mathematics, including calculus, differential equations, and linear algebra, you will need to supplement your knowledge with additional readings. It’s a rigorous process, and don't expect to fully understand the material on a single read-through. Most students find that they need to revisit textbooks and study materials multiple times to truly grasp the concepts.
Popular books like A First Course in String Theory by Barton Zwiebach, or An Introduction to Quantum Field Theory by Michael E. Peskin and Daniel V. Schroeder, are widely recommended. While they might be more advanced and challenging, they are comprehensive and provide detailed explanations that can help deepen your understanding.
Another highly recommended book by Steven Weinberg, The Quantum Theory of Fields, is an excellent resource for those who can handle more depth and complexity. However, it is more suitable for advanced students and researchers.
Accessible and User-Friendly Options
For a more accessible and user-friendly option, you might consider Quantum Field Theory for the Gifted Amateur by Tom Lancaster and Stephen J. Blunden. This book is particularly well-regarded for its clear explanations and less mathematically daunting approach. It offers a gentle introduction to the subject, making it easier for laymen to understand the concepts without feeling overwhelmed.
Revising the book multiple times, and even purchasing a second copy as the author suggests, is a common practice among students. This ensures that you can mark important sections and underline key concepts to better understand the material.
Conclusion
The path to learning quantum field theory is a challenging one, but it is certainly attainable with the right resources and dedication. Even old books can be valuable tools, as long as they cover the necessary concepts. Don't hesitate to stick with well-reviewed, more recent books or to dive into multiple reference texts to build a robust understanding of the subject.
Remember, the key to mastering QFT lies in consistent study over time. Approach the material with patience and persistence, and you will eventually find a book or combination of books that work for you.