## Quantenfeldtheorie ultrakalter Teilchen |

Der Inhalt der Vorlesung ist die theoretische Beschreibung von extrem kalten (1 Mikro-Kelvin und weniger) gasartigen Atomen und Molekülen, wobei besonders ihre Wechselwirkung mit Licht behandelt werden soll. Nach einer allgemeinen Einführung in die Methoden der Quantenfeldtheorie (Teilchenzahl-Darstellung, 2. Quantisierung, Feynman-Graphen) wird ihre Anwendung auf gebundene Systeme (Atome) dargestellt.

- 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.

- 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.

- 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.

- 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.

- 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.

- 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.