This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau–Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.

From reviews of the first edition:‘… bridges the gap in the current research literature on low-dimensional electron and spin model systems … I expect my copy to become one of the more ratty items on my shelf.’

Source: Physics Today

‘Throughout the whole book, the key concepts of QFT related to condensed matter physics are concisely introduced, with examples and excercises added at the end of the chapters when necessary and references listed for each chapter …’

Source: Materials Research Bulletin