Lectures on Tensor Categories and Modular Functors
by Bojko Bakalov, Alexander Kirillov
Publisher: American Mathematical Society 2000
Number of pages: 221
This book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors (which naturally arise in 2-dimensional conformal field theory). It would be suitable as a course text at the advanced-graduate level.
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by John C. Baez, Irving E. Segal, Zhengfang Zhou - Princeton University Press
The book presents a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. The authors address readers interested in fundamental mathematical physics and who have the training of a graduate student.
by Hans de Vries - Physics-Quest.org
From the table of contents: Relativistic foundations of light and matter Fields; Advanced treatment of the EM field; The relativistic matter wave equations; Foundations of Quantum Electro Dynamics; Non Abelian gauge theories.
by Hans Christian Öttinger - arXiv
This book can be used as a textbook on quantum field theory for students of physics or as a monograph for philosophers and physicists interested in the epistemological foundations of particle physics. The reader is stimulated to critical thinking ...
by J. Berges - arXiv
An introduction to functional integral techniques and how they can be applied in practice. Though we focus on particle physics and cosmology applications, we emphasize that these techniques can be equally applied to other nonequilibrium phenomena.