This is the second of a two-volume set, based on courses taught by the author for many years at Washington University, St. Louis. The books will cover quantum field theory at an introductory level appropriate for graduate students in physics, taking them in two semesters to the point where they can begin research in fields using quantum field theory, such as particle physics, nuclear physics, cosmology and astrophysics and condensed matter physics.

The topics covered in the second volume include advanced material, such as phase transitions, the renormalization group, fermions, gauge theories, the 1/N expansions, anomalies, soliton and instantons, and field theory at nonzero temperature and density. These are techniques used in modern quantum fields to study the different phases in which matter has existed, whether manufactured in a lab, created in a particle accelerator, or observed by astrophysical detectors.

Each chapter will include examples and exercises for many areas of physics. Python-based computational projects will also be provided with source code for many key concepts. Recommendations for further reading will be included at the end of chapters.