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** ........ published in NEWSLETTER # 66 **

**CONFINEMENT, DUALITY AND NONPERTURBATIVE ASPECTS OF QCD**

by Professor P.J. van Baal, Rijksuniversiteit Leiden, Leiden (The Netherlands)

The proceedings of the NATO Advanced Study Institute/Newton Institute Workshop "Confinement, duality and non-perturbative aspects of QCD", (NATO ASI SERIES B 368) edited by Pierre van Baal (Leiden, The Netherlands), covers the most important techniques for the study of Quantum Chromodynamics (QCD) and confinement, from lattice gauge theory, through Wilson's renormalisation group, to electromagnetic duality.

This volume addresses the longstanding question of understanding how quarks are confined within subnuclear particles. Issues under discussion included: hadron spectroscopy (C. Michael, R. Kenway, M. Teper), the running of the strong coupling constant (P. Lepage, P. Weisz), the Hamiltonian formulation on the lattice (D. Zwanziger), issues related to Gribov ambiguities (P. van Baal) and the Wilson renormalisation group, setting out the framework in which non-perturbative issues in QCD should be discussed. The renormalisation group is discussed in the context of the lattice (P. Hasenfratz), momentum-cutoff (C. Wetterich) and light-front (R. Perry) approaches.

Instantons feature prominently in the context of a successful low- energy description for QCD (E. Shuryak). Some of these properties relevant to chiral symmetry breaking are universal and can be captured in random matrix models (J. Verbaarschot). Another important theme represented in these proceedings is the conjecture that monopoles condensate, such that QCD behaves as a dual superconductor. This volume addresses how the so-called abelian projection introduced fifteen years ago (G. 't Hooft), might provide an explicit scenario to test this dual superconductor picture, studied with lattice simulations (M. Polikarpov, A. Di Giacomo, T. Suzuki).

The recent Seiberg-Witten duality results add a new dimension to this conjecture. Supersymmetry has developed into an important tool to learn more about non-perturbative aspects of field theories (P. West, M. Shifman). In the presence of supersymmetry, both instantons and monopoles will contribute in very special ways, revealing deep results relevant for the dynamics of the theory (A. Schwimmer). It is hoped that some of these lessons are relevant to QCD.

This school, held at Cambridge (U.K.) from June 23 to July 4 as the concluding activity of the Isaac Newton Institute programme on "Non-perturbative Aspects of Quantum Field Theory", running for
half a year, was unique in bringing together so many different approaches to study QCD, each expected to carry part of the solution towards the confinement problem. Any student that wishes to make progress on the confinement problem should be aware of these approaches. The lectures in this volume are ordered as much as possible so as to assist the reader in acquiring the necessary background, assumed known in some of the lectures.

Reference books: B5, B26, B54, B185, B197, B216, B224, B295, B328, B353, **B368**, C409