Quantum Field Theory in Condensed Matter Physics
Cambridge University Press, 18 בינו׳ 2007 - 360 עמודים
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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action algebra antiferromagnet appear approach becomes bosonic calculate called Chapter charge classical commutation conformal consider constant contains continuous contribution coordinates correlation functions corresponding coupling critical currents defined depends derivation described diagrams dimensions discussion divergences effective action electrons energy equal equation equivalent example excitations expansion exponents expression fact Fermi fermions field Figure finite fluctuations gauge given gives Green’s function Hamiltonian important integral interaction introduce invariant Ising model latter lattice leads Let us consider Lett limit magnetic mass matrix means measure mechanics nonlinear obtained operators parameter particles path integral perturbation phase Phys physics potential problem properties quantum quantum mechanics relations remains representation represented respect result scaling sigma model solution space spectrum spin Substituting symmetry temperature tensor term theory transformation transition vector wave zero
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