Path integrals in field theory

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E.N. Economou

The main part of this book is devoted to the simplest kind of Green's functions, namely the solutions of linear differential equations with a -function source. It is shown that these familiar Green's functions are a powerful tool for obtaining relatively simple and general solutions of basic problems such as scattering and boundlevel information. The bound-level treatment gives a clear physical understanding of "difficult" questions such as superconductivity, the Kondo effect, and, to a lesser degree, disorder-induced localization. The more advanced subject of many-body Green's functions is presented in the last part of the book.

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W. Hollik, R. Rückl, J. Wess (eds

Although the Standard Model of strong and electroweak interactions describesparticle physics phenomena up to the vector boson mass scale very well, it is in general believed that it is not the ultimate theory. The aim of this series of seminars was to initiate discussions between field theorists and phenomenologically oriented high energy physicists on the observable consequenses of the concept of SUSY. The subjects covered by the individual contributions include an introduction to the basic features of SUSY models, in particular the minimal supersymmetric Standard Model, followed by discussions of the theoretical predictions and experimental findings on the particle content and mass spectra, cosmological consequenses, indirect manifestations through quantum effects, radiative corrections in the supersymmetric Higgs sector, and the concept of dynamical electroweak symmetry breaking in the context ofSUSY. These topics are treated at a level appropriate for advanced students.However, the book should also be useful for teachers and researchers.

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Werner Meyer, Erhard Steffens, Werner Thiel

The recent international meeting at Bonn on high energy spin physics included a series of four workshops, with the aim of discussing mainly technological problems in this field. Each workshop addressed one of the following topics: polarized electron sources and electron spin polarimeters, Siberian snakes and polarization in circular machines, polarized gas targets, and polarized solid targets.

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Jean-Marie Souriau

This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization. The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. The first tow chapters provide the necessary mathematical background in differential geometry, Lie groups, and symplectic geometry. In Chapter 3 a coherent symplectic description of Galilean and relativistic mechanics is given, culminating in the classification of elementary particles (relativistic and non-relativistic, with or without spin, with or without mass). In Chapter 4 statistical mechanics is put into symplectic form, finishing with a symplectic description of the kinetic theory of gases and the computation of specific heats. Finally, in Chapter 5 the author presents his theory of geometric quantization. Highlights of this chapter are the derivations of various wave equations and the construction of the Fock space.