Boundaries and boundary conditions

[Breo]

I am not sure if this should be posted here. If not I hope you accept my apologizes and the admin move on the post as soon as possible.

I am studying manifold with boundaries and boundary conditions in a quantum field theory approach.

Could you recommend me books or papers about that?

I lack in mathematics knowledge.

Thank you in advance.

 

[jvicens]

Hello there,

Thank you for reaching out about your interest in studying manifolds with boundaries and boundary conditions in quantum field theory. I am always happy to see others pursuing knowledge and expanding their understanding in various fields.

I do have some recommendations for books and papers that may help you in your studies. First, I suggest looking into "Introduction to Quantum Field Theory" by Michael E. Peskin and Daniel V. Schroeder. This book provides a comprehensive introduction to quantum field theory and covers topics such as manifolds and boundary conditions.

Another book that may be helpful is "Quantum Field Theory and the Standard Model" by Matthew D. Schwartz. This book also covers manifolds and boundary conditions in the context of quantum field theory.

In terms of papers, I recommend looking into the works of Steven Weinberg, who is a renowned physicist and has made significant contributions to the field of quantum field theory. Some of his papers that may be relevant to your studies include "Boundary Conditions in Quantum Field Theory" and "Quantum Field Theory and the Geometry of Spacetime."

I understand that you mentioned lacking in mathematics knowledge, so I also recommend brushing up on your knowledge of differential geometry and topology, as these are crucial for understanding manifolds and boundary conditions in quantum field theory.

I hope these recommendations are helpful to you and wish you all the best in your studies. Remember, learning takes time and effort, but it is always worth it in the end. Keep pursuing your interests and never stop learning.