New Developments in Quantum Field Theory

1. Front Matter

   Pages i-ix

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2. Lecturers

   1. The Structure of 2D Quantum Space-Time

      • Jan Ambjørn

      Pages 1-21

   2. Scaling Laws in Turbulence

      • Krysztof Gawędzki

      Pages 23-31

   3. Field Theory as Free Fall

      • A. Carlini, J. Greensite

      Pages 33-45

   4. Center Dominance, Center Vortices, and Confinement

      • L. Del Debbio, M. Faber, J. Greensite, S. Olejnik

      Pages 47-64

   5. Duality and the Renormalization Group

      • Peter E. Haagensen

      Pages 65-77

   6. Unification of the General Non-Linear Sigma Model and the Virasoro Master Equation

      • J. de Boer, M. B. Halpern

      Pages 79-95

   7. A Matrix Model Solution of the Hirota Equation

      • Vladimir A. Kazakov

      Pages 97-112

   8. Lattice Approximation of Quantum Electrodynamics

      • Jerzy Kijowski, Gerd Rudolph

      Pages 113-126

   9. Three Introductory Talks on Matrix Models of Superstrings

      • Yuri Makeenko

      Pages 127-146

   10. New Developments in the Continuous Renormalization Group

       • Tim R. Morris

       Pages 147-158

   11. Primordial Magnetic Fields and Their Development (Applied Field theory)

       • P. Olesen

       Pages 159-170

   12. Towards Matrix Models of IIB Superstrings

       • P. Olesen

       Pages 171-178

   13. Quantum Mechanics of the Electric Charge

       • Andrzej Staruszkiewicz

       Pages 179-185

   14. Universal Fluctuations in Dirac Spectra

       • Jacobus Verbaarschot

       Pages 187-216

   15. Determination of Critical Exponents and Equation of State by Field Theory Methods

       • J. Zinn-Justin

       Pages 217-232

3. Seminar Speakers

   1. Collective Dynamics of a Domain Wall — an Outline

      • H. Arodź

      Pages 233-241

   2. Path Space Formulation of the BFV Theorem

      • K. Bering

      Pages 243-249

   3. Surplus Anomaly and Random Geometries

      • Piotr Bialas, Zdzislaw Burda, Desmond Johnston

      Pages 251-259

   4. Topological Contents of 3D Seiberg-Witten Theory

      • Boguslaw Broda

      Pages 261-268

Quantum field theory is one of most central constructions in 20th century th- retical physics, and it continues to develop rapidly in many different directions. The aim of the workshop “New Developments in Quantum Field Theory”, which was held in Zakopane, Poland, June 14-20, 1997, was to capture a broad selection of the most recent advances in this field. The conference was sponsored by the Scientific and - vironmental Affairs Division of NATO, as part of the Advanced Research Workshop series. This book contains the proceedings of that meeting. Major topics covered at the workshop include quantized theories of gravity, string theory, conformal field theory, cosmology, field theory approaches to critical phenomena and the renormalization group, matrix models, and field theory techniques applied to the theory of turbulence. One common theme at the conference was the use of large-Nmatrix models to obtain exact results in a variety of different disciplines. For example, it has been known for several years that by taking a suitable double-scaling limit, certain string theories (or two-dimensional quantum gravity coupled to matter) can be re-obtained from the large-Nexpansion of matrix models. There continues to be a large activity in this area of research, which was well reflected by talks given at our workshop. Remarkably, large- Nmatrix models have very recently – just a few months before our meeting – been shown to have yet another deep relation to string theory.

• Lattice
• Renormalization group
• conformal field theory
• dynamics
• linear optimization
• model
• quantum field theory
• string theory
• combinatorics

• Niels Bohr Institute, Copenhagen, Denmark

  Poul Henrik Damgaard

• Jagellonian University, Cracow, Poland

  Jerzy Jurkiewicz

Policies and ethics