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.
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