Many Degrees of Freedom in Field Theory

1. Front Matter

   Pages i-vii

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2. An Introduction to Some Topics in Constructive Quantum Field Theory

   • Jürg Fröhlich

   Pages 1-50

3. Asymptotic Behavior of the Autocovariance Function and Violation of Strong Mixing

   • M. Cassandro, G. Jona-Lasinio

   Pages 51-62

4. Solitons and Breathers

   • K. Pohlmeyer

   Pages 63-116

5. Classical Static Gauge-Field Solitons in Three Space Dimensions

   • L. O’Raifeartaigh

   Pages 117-145

6. Unsolved Problems in the Theory of Non-Linear Wave Equations

   • Michael Reed

   Pages 147-162

7. Propagation of Singularities

   • Michael Reed

   Pages 163-166

8. Dynamics in Quantum Statistical Mechanics

   • Derek W. Robinson

   Pages 167-195

9. Spontaneously Broken Symmetry

   • R. F. Streater

   Pages 197-223

10. Short Introduction to Nonstandard Analysis and Its Physical Applications

    • Jan Tarski

    Pages 225-239

11. Back Matter

    Pages 241-248

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Volumes 30 and 31 of this series, dealing with "Many Degrees of Freedom," contain the proceedings of the 1976 International Summer Institute of Theoretical Physics, held at the university of Bielefeld from August 23 to September 4, 1976. This institute was the eighth in a series of summer schools devoted to particle physics and organized by universities and research institutes in the Federal Republic of Germany. Many degrees of freedom and collective phenomena play a critical role in the description and understanding of elementary particles. The lectures in this volume were intended to display how these structures occur in various recent developments of mathematical physics. Lectures ranged from classical nonlinear field theory over classical soliton models, constructive quantum field theory with soliton solutions and gauge models to the recent unified description of renormalization group tech­ niques in probabilistic language and to quantum statisti­ cal dynamics in terms of derivations. The Institute took place at the Center for Inter­ disciplinary Research of the University of Bielefeld. On behalf of all participants, it is a pleasure to thank the officials and the administration of the Center for their cooperation and help before and during the Insti­ tute. Special thanks go to V.C. Fulland, M. Kamper, and A. Kottenkamp for their rapid and competent preparation of the manuscripts.

• Renormalization group
• field theory
• mathematical physics
• particle physics
• quantum field theory
• theoretical physics

• University of Bielefeld, Federal Republic of Germany

  L. Streit

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