Condensed Matter Field Theory

The methods of quantum field theory underpin many conceptual advances in contemporary condensed matter physics and neighbouring fields. This book provides a praxis-oriented and pedagogical introduction to quantum field theory in many-particle physics, emphasizing the application of theory to real physical systems. This third edition is organized into two parts: the first half of the text presents a streamlined introduction, elevating readers to a level where they can engage with contemporary research literature, from the introduction of many-body techniques and functional integration to renormalization group methods, and the second half addresses a range of advanced topics including modern aspects of gauge theory, topological and relativistic quantum matter, and condensed matter physics out of thermal equilibrium. At all stages, the text seeks a balance between methodological aspects of quantum field theory and practical applications. Extended problems with worked solutions provide a bridge between formal theory and a research-oriented approach.

• Takes a first principles approach that assumes minimal existing knowledge of quantum field theory and its application in the condensed matter setting
• Develops concepts using a problem-based approach and illustrates ideas using applications from condensed matter, making the text suitable for graduate courses
• The revised edition of the text now includes more advanced and topical subject areas, equipping young scientists with a repertoire of concepts and methodologies in field theory