Description
CAMBRIDGE INDIA Quantum Field Theory And Condensed Matter: An Introduction by RAMAMURTI SHANKAR
Providing a broad review of many techniques and their application to condensed matter systems this book begins with a review of thermodynamics and statistical mechanics before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena Fermi liquid theory and the renormalization of field theories. Next the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm-Pines and Chern-Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical statistical and condensed matter physics.