Quantum Field Theory

1. Front Matter

   Pages I-VIII

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2. Kurt Symanzik

   • Arthur Jaffe, Harry Lehmann, Gerhard Mack

   Pages 1-1

3. Monte Carlo Simulations for Quantum Field Theories Involving Fermions

   • M. Karowski, R. Schrader, H. J. Thun

   Pages 5-29

4. SU(2) Lattice Gauge Theory: Standard Action Versus Symanzik’s Tree-Improved Action

   • B. Berg, A. Billoire, S. Meyer, C. Panagiotakopoulos

   Pages 31-58

5. On-shell Improved Lattice Gauge Theories

   • M. Lüscher, P. Weisz

   Pages 59-77

6. On the Modular Structure of Local Algebras of Observables

   • Klaus Fredenhagen

   Pages 79-89

7. The Intersection of Brownian Paths as a Case Study of a Renormalization Group Method for Quantum Field Theory

   • Michael Aizenman

   Pages 91-110

8. Intersection Properties of Simple Random Walks: A Renormalization Group Approach

   • G. Felder, J. Fröhlich

   Pages 111-124

9. Self-Avoiding Walk in 5 or More Dimensions

   • David Brydges, Thomas Spencer

   Pages 125-148

10. Indecomposable Representations with Invariant Inner Product

    • Huzihiro Araki

    Pages 149-159

11. Classical Models of Confinement II

    • Harry Lehmann, Tai Tsun Wu

    Pages 161-167

12. The Energy-Momentum Spectrum in Local Field Theories with Broken Lorentz-Symmetry

    • Hans-Jürgen Borchers, Detlev Buchholz

    Pages 169-185

13. Large Deviations for Stationary Gaussian Processes

    • M. D. Donsker, S. R. S. Varadhan

    Pages 187-210

14. Reduction in the Number of Coupling Parameters

    • W. Zimmermann

    Pages 211-225

15. Conformal Gauges and Renormalized Equations of Motion in Massless Quantum Electrodynamics

    • V. B. Petkova, G. M. Sotkov, I. T. Todorov

    Pages 227-255

16. Longitudinal Jet Cross Sections in Order α ² _s

    • B. Lampe, G. Kramer

    Pages 257-266

17. Convergent Perturbation Expansions for Euclidean Quantum Field Theory

    • Gerhard Mack, Andreas Pordt

    Pages 267-298

18. Renormalization of the Higgs Model: Minimizers, Propagators and the Stability of Mean Field Theory

    • Tadeusz Balaban, John Imbrie, Arthur Jaffe

    Pages 299-329

Kurt Symanzik was certainly one of the most outstanding theoretical physicists of our time. For thirty years, until his untimely death in 1983, he helped to shape the present form of quantum field theory and its application to elementary particle physics. In memoriam of Kurt" Symanzik leading scientists present their most recent results, giving, at the same time, an overview of the state of the art. This collection was originally published in Vol. 97, 1/2 (1985) of Communications in Mathematical Physics. They range over various inter­ related topics of interest to Kurt Symanzik. We hope that making this collection available in an accessible and inexpensive way will benefit the physics community. The Publisher Contents To the Memory of Kurt Symanzik 1 By A. Jaffe, H. Lehmann, and G. Mack Monte Carlo Simulations for Quantum Field Theories Involving Fermions. By M. Karowski, R. Schrader, and H. J. Thun (With 8 Figures) . . . . . . . . . . . . . . . . . . . 5 SU(2) Lattice Gauge Theory: Standard Action Versus Symanzik's Tree-Improved Action. By B. Berg, A. Billoire, S. Meyer, and C. Panagiotakopoulos (With 13 Figures). . . . . . . . . . 31 . On-shell Improved Lattice Gauge Theories By M. Luscher and P. Weisz (With 3 Figures) . . . . . 59 On the Modular Structure of Local Algebras of Observables By K. Fredenhagen . . . . . . . . . . . . . . . . . 79 . . . The Intersection of Brownian Paths as a Case Study of a Renormalization Group Method for Quantum Field Theory By M. Aizenman (With 3 Figures). . . . . . . . . . . . 91 Intersection Properties of Simple Random Walks: A Renormalization Group Approach. By G. Felder and J. Frohlich. . . . . . . 111 .

• Confinement
• Cross section
• Lattice gauge theory
• Particle Physics
• quantum field theory

• Department of Physics, Lyman Laboratory of Physics, Harvard University, Cambridge, USA

  Arthur Jaffe

• II. Institut für Theoretische Physik der Universität Hamburg, Hamburg 50, Fed. Rep. of Germany

  Harry Lehmann, Gerhard Mack

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