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一些英文经典书的简单评价
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General Books on Quantum Field Theory H. Haken, Quantum field theory of solids : an introduction (1976). Excellent introductory text covering the basic methods. Physical applications are restricted to solid state theory (excitons, polaritons, magnons, BCS theory of superconductivity). Also available in German. Lewis H. Ryder, Quantum field theory (1985). An excellent introduction to the method of path integrals in field theory. Treats many interesting aspects such as topology, anomalies, solitons. Physical applications are restricted to relativistic fields. Jean Zinn-Justin, Quantum field theory and critical phenomena (1990). Both relativistic field theories and the behaviour of phase transitions near the critical temperature are treated. Edward R. Pike and Sarben Sarkar, The quantum theory of radiation (1995). Covers parts of relativistic QFT as well as Quantum Optics. Deals with some special problems (such as localization) which cannot be found elsewhere. Quantum Optics and non-relativistic QED Leonard Mandel and Emil Wolf, Optical coherence and quantum optics (1995). One of the most comprehensive and complete texts on quantum optics. Gives a good survey of most techniques and topics. D. F. Walls and G. J. Milburn, Quantum optics (1995). A concise textbook focusing on squeezed states and noise mechanisms (master equations). Herch M. Nussenzveig, Introduction to quantum optics (1973). Particularly helpful for coherent states. Peter W. Milonni, The quantum vacuum : an introduction to quantum electrodynamics (1994). A very interesting book which mostly deals with the effect of boundaries (Casimir effect) and some particular quantum field theoretical effects in (mostly non-relativistic) QED. Claude Cohen-Tannoudji, Jacques Dupont-Roc, and Gilbert Grynberg, Photons and atoms : introduction to quantum electrodynamics (1989). In this book the fundamental equations of non-relativistic QED are thoroughly explained. Claude Cohen-Tannoudji, Jacques Dupont-Roc, Gilbert Grynberg, Atom-photon interactions : basic processes and applications (1992). A very good book dealing with the fundamental techniques to describe the interaction of atoms with light. Includes dressed states, resolvent method, master equations. Condensed Matter, Statistical Mechanics A. A. Abrikosov, L. P. Gorkov and I. E. Dzalosinskij, Methods of quantum field theory in statistical physics (1963). One of the classic textbooks on statistical mechanics. Treats in great detail the equilibrium theory for quantum fields. Physical applications are focused on superfluids and Fermi systems. Alexander L. Fetter and John Dirk Walecka, Quantum theory of many-particle systems (1971). A good introduction to equilibrium QFT for thermodynamical systems. Is very detailed about derivations. Physical applications center on nuclear systems and (low-Tc) Superconductors. Alexei M. Tsvelik, Quantum field theory in condensed matter physics (1996). Deals with recent results of QFT in condensed systems, particularly in two and one spatial dimension. Informative but hard to read. Naoto Nagaosa, Quantum field theory in condensed matter physics (1999). Introductory text using path integrals. Focuses on superconductivity and quantum-Hall effect. Is in part not very detailed about proofs. Non-equilibrium processes Leo P. Kadanoff and Gordon Baym, Quantum statistical mechanics : Green's function methods in equilibrium and nonequilibrium problems (1962). A classic book by the inventors of the theory. Dmitrij N. Zubarev, Vladimir G. Morozov, and Gerd Röpke, Statistical mechanics of nonequilibrium processes (1996). An approach based on the concept of the ``relevant density matrix''. Lifsic, Evgenij M. and Lev P. Pitaevskij, Physical kinetics (1981). Contains an introduction to the Keldysh diagram technique for non-equilibrium processes. Relativistic Quantum Field Theory, Gauge Theories Claude Itzykson and Jean-Bernard Zuber, Quantum field theory (1980). A book which contains a huge amount of information on almost any aspect of relativistic field theories. However, some parts are very hard to read. James D. Bjorken and Sidney D. Drell, Relativistic quantum mechanics (1964). Very good introduction to (first-quantized) relativistic field theories. James D. Bjorken and Sidney D. Drell, Relativistic quantum fields (1964). A classic text, but somewhat outdated in both the representation of field theory and the physical applications. Nevertheless quite helpful if one is looking for explanations of some particular aspects. Franz Mandl and Graham Shaw, Quantum field theory (1980). Nice intoductory text to relativistic QFT. Deals only with basic examples and focuses on QED and electroweak theory. Ta-Pei Cheng and Ling-Fong Li, Gauge theory of elementary particle physics (1984). Focuses on the phenomenolgy of high energy physics. Very good book if one is interested in the physical consequences of gauge theories. Special Topics John Churton Collins, Renormalization : an introduction to renormalization, the renormalization group, and the operator-product expansion, (1984). Deals with renormalization and regularization in relativistic theories. N. D. Birrell and P. C. W. Davies, Quantum fields in curved space (1980). A good introduction to the peculiarities of relativistic quantum field theories in a non-quantized but curved (general-relativistic) space-time. Explains theoretical predictions such as the Unruh effect for accelerated detectors or Hawking radiation of a black hole. R. F. Streater and A. S. Wightman, PCT, spin and statistics, and all that (1964). Beautiful text on the axiomatic formulation of QFT, i.e., the derivation of the properties of any QFT from a few basic axioms (such as Einstein locality). Mathematically superb, although some conclusions of this theory are discouraging. It nevertheless provides rigorous proofs of the spin-statistics theorem (i.e, that Bosons must have integer spin) and the PCT theorem (any QFT must be invariant under a space inversion followed by charge conjugation and time reversal). Rudolf Haag, Local quantum physics : fields, particles, algebras (1996). A book on the construction of field theories with local observables only. Very mathematical. The theories are based on C* algebras and are the successor of axiomatic QFT. Kurt Sundermeyer, Constrained dynamics : with applications to Yang-Mills theory, general relativity, classical spin, dual string model (1982). A book on the quantization of a theory with constraints. This topic is very important for gauge theories, where the fixing of the gauge induces a constraint, and quantum gravity. James Glimm and Arthur Jaffe, Quantum physics : a functional integral point of view (1987). The authoritative book on path integrals. Very mathematical. |
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