凝聚态物理学中的量子场论-第2版

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《凝聚态物理学中的量子场论(第2版)》内容简介：This book is a course in modern quantum field theory as seen through the eyes of a theoristworking in condensed matter physics. It contains a gentle introduction to the subject andcan therefore be used even by graduate students. The introductory parts include a deriva-tion of the path integral representation, Feynman diagrams and elements of the theory ofmetals including a discussion of Landau Fermi liquid theory. In later chapters the discus-sion gradually turns to more advanced methods used in the theory of strongly correlatedsystems. The book contains a thorough exposition of such nonperturbative techniques as1/N-expansion, bosonization （Abelian and non-Abelian）, conformal field theory and theoryof integrable systems. The book is intended for graduate students, postdoctoral associatesand independent researchers working in condensed matter physics.

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相关资料

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插图：The related problem is a long-standing problem of the Kondo lattice or, in more generalwords, the problem of the coexistence of conduction electrons and local magnetic moments.We have discussed this problem very briefly in Chapter 21, where it was mentioned that thisremains one of the biggest unsolved problems in condensed matter physics. The only part ofit which is well understood concerns a situation where localized electrons are representedby a single local magnetic moment （the Kondo problem）. In this case we know that thelocal moment is screened at low temperatures by conduction electrons and the ground stateis a singlet. The formation of this singlet state is a nonperturbative process which affectselectrons very far from the impurity. The relevant energy scale （the Kondo temperature） isexponentially small in the exchange coupling constant. It still remains unclear how conduc-tion and localized electrons reconcile with each other when the local moments are arrangedregularly （Kondo lattice problem）. Empirically, Kondo lattices resemble metals with verysmall Fermi energies of the order of several degrees. It is widely believed that conductionand localized electrons in Kondo lattices hybridize at low temperatures to create a singlenarrow band （see the discussion in Chapter 21）. However, our understanding of the detailsof this process remains vague. The most interesting problem is how the localized electronscontribute to the volume of the Fermi sea （according to the large-N approximation, they docontribute）. The most dramatic effect of this contribution is expected to occur in systemswith one conduction electron and one spin per unit cell. Such systems must be insulators（the so-called Kondo insulator）.The available experimental data apparently support thispoint of view: all compounds with an odd number of conduction electrons per spin areinsulators （Aeppli and Fisk, 1992）. A

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本书特色

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《凝聚态物理学中的量子场论(第2版)》是由世界图书出版公司出版的。

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内容简介

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this book is a course in modern quantum field theory as seen through the eyes of a theoristworking in condensed matter physics. it contains a gentle introduction to the subject andcan therefore be used even by graduate students. the introductory parts include a deriva-tion of the path integral representation, feynman diagrams and elements of the theory ofmetals including a discussion of landau fermi liquid theory. in later chapters the discus-sion gradually turns to more advanced methods used in the theory of strongly correlatedsystems. the book contains a thorough exposition of such nonperturbative techniques as1/n-expansion, bosonization （abelian and non-abelian）, conformal field theory and theoryof integrable systems. the book is intended for graduate students, postdoctoral associatesand independent researchers working in condensed matter physics.

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目录

preface to the first editionpreface to the second editionacknowledgements for the first editionacknowledgements for the second editionⅰ introduction to methods 1 qft:language and goals 2 connection between quantum and classical: path integrals 3 definitions of correlation functions: wick’s theorem 4 free bosonic field in an external field 5 perturbation theory: feynman diagrams 6 calculation methods for diagram series: divergences and their elimination 7 renormalization group procedures 8 o(n)-symmetric vector model below the transition point 9 nonlinear sigma models in two dimensions: renormalization group and 1/n-expansion 10 0(3) nonlinear sigma model in the strong coupling limitⅱ fermions 11 path integral and wick’s theorem for fermions 12 interacting electrons: the fermi liquid 13 electrodynamics in metals 14 relativistic fermions: aspects of quantum electrodynamics (1+1)-dimensional quantum electrodynamics (schwinger model) 15 aharonov-bohm effect and transmutation of statistics the index theorem quantum hall ferromagnetⅲ strongly fluctuagng spin systems introduction 16 schwinger-wigner quantization procedure: nonlinear sigma models continuous field theory for a ferromagnet continuous field theory for an antiferromagnet 17 o(3) nonlinear sigma model in (2 + 1) dimensions: the phase diagram topological excitations: skyrmions 18 order from disorder 19 jordan-wigner transformation for spin s = 1/2 models in d = 1, 2, 3 20 majorana representation for spin s =1/2 magnets: relationship to z2 lattice gauge theories 21 path integral representations for a doped antiferromagnet n physics in the world of one spatial dimension introduction 22 model of the free bosonic massless scalar field 23 relevant and irrelevant fields 24 kosterlitz-thouless transition 25 conformal symmetry gaussian model in the hamiltonian formulation 26 virasoro algebra ward identities subalgebra sl(2) 27 differential equations for the correlation functions coulomb gas construction for the minimal models 28 ising model ising model as a minimal model quantum lsing model order and disorder operators correlation functions outside the critical point deformations of the ising model 29 one-dimensional spinless fermions: tomonaga-luttinger liquid single-electron correlator in the presence of coulomb interaction spin s = 1/2 heisenberg chain explicit expression for the dynamical magnetic susceptibility 30 one-dimensional fermions with spin: spin-charge separation bosonic form of the su1 (2) kac-moody algebra spin s = 1/2 tomonaga-luttinger liquid incommensurate charge density wave half-filled band 31 kac-moody algebras: wess-zumino——novikov-witten model knizhnik-zamolodchikov (kz) equations conformal embedding sui(2) wznw model and spin s = 1/2 heisenberg antiferromagnet su2(2) wznw model and the ising model 32 wess-zumino-novikov-witten model in the lagrangian form: non-abelian bosonization 33 semiclassical approach to wess-zumino-novikov-witten models 34 integrable models: dynamical mass generation general properties of integrable models correlation functions: the sine-gordon model perturbations of spin s = 1/2 heisenberg chain: confinement 35 a comparative study of dynamical mass generation in one and three dimensions single-electron green’s function in a one-dimensional charge density wave state 36 one-dimensional spin liquids: spin ladder and spin s = 1 heisenberg chain spin ladder correlation functions spin s = 1 antiferromagnets 37 kondo chain 38 gauge fixing in non-abelian theories: (1+1)-dimensional quantumchromodynamics select bibliography index

封面

书名:凝聚态物理学中的量子场论-第2版

作者:泰斯韦利科(Alexei M.Tsvelik)

页数:360

定价:¥49.0

出版社:世界图书出版公司

出版日期:2010-04-01

ISBN:9787510005534

PDF电子书大小:83MB 高清扫描完整版