Quantum Field Theory in Condensed Matter Physics
Cambridge University Press, 18 בינו׳ 2007
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.
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1)dimensional algebra anticommutation antiferromagnet bosonic bosonic exponents calculate canbe Chapter charge Chern–Simons chiral classical commutation relations conformal dimensions coordinates correlation functions correlation length corresponding coupling constant defined density derivation described dimensional discussion divergences effective action electrodynamics electrons equation equivalent excitations expression Fermi ferromagnetic field theory finite fluctuations formfactors Fourier gauge Gaussian Green’s function Hamiltonian Heisenberg chain interaction inthe invariant Ising model Kac–Moody algebra Lagrangian lattice Let us consider Lett Majorana fermions massless matrix momenta momentum nonlinear sigma model ofthe onedimensional particles partition function path integral perturbation Phys primary fields problem quantum electrodynamics quantum mechanics renormalization representation scalar scaling dimensions sineGordon model socalled space spacetime spectral gap spectrum spin staggered magnetization stress energy tensor Substituting symmetry temperature term thermodynamic topological tothe transformation Tsvelik twodimensional twopoint vector wave WZNW model Zamolodchikov zero