CONTENTS -- Foreword -- Conformal Boundary Conditions - and What They Teach Us -- 0. Introduction -- 1. A lightning review of CFT -- 2. Boundary Conformal Field Theory -- 3. Boundary Operator Algebra -- 4. Generalised twisted boundary conditions -- 5. The underlying quantum algebra -- 6. Integrable lattice models -- References -- Conformal Field Theory, Boundary Conditions and Applications to String Theory -- 1 Introduction and Overview -- 2 Two-dimensional manifolds -- 3 Algebraic aspects of chiral CFT: Vertex operator algebras -- 4 Geometric aspects of chiral CFT: Conformal blocks -- 5 Full CFT -- 6 Applications to string compactifications -- 7 Conclusions -- References -- Boundary Renormalisation Group Flows of Minimal Models -- 1 The unitary minimal models -- 2 Boundary perturbations -- 3 Perturbation theory -- 4 The Truncated Conformal Space Approach -- 5 The limit c -> 1 of the minimal model boundary conditions -- 6 Conclusions -- References -- A Physical Basis for the Entropy of the AdS3 Black Hole -- 1 Introduction -- 2 Chern-Simons Action and Boundary Effects -- 3 The Coupling of a source -- 4 Ground State Eigenvalues -- 5 The Entropy of the AdS3 Black Hole -- Spinon Formulation of the Kondo Problem -- 1 Introduction -- 2 Magnon formulation -- 3 The spinon formulation -- 4 Impurity behavior at low temperature -- 5 Impurity behavior at high temperature -- 6 Numerical solution -- References -- From Surface Roughening to QCD String Theory -- 1 Introduction -- 2 Lattice Study of QCD String Formation: Three Objectives -- 3 The Excitation Spectrum of the Wilson Surface in QCD -- 4 Surface Excitation Spectrum in Z(2) Spin and Gauge Models -- 5 What Is the Continuum Limit of QCD String Theory? -- Appendix -- References -- Boundary Integrable Quantum Field Theories -- References.

Ordinary Differential Equations and Integrable Quantum Field Theories -- Introduction -- 1 Schrodinger equations -- 2 Functional relations in integrable models -- 3 The TQ/ODE connection -- 4 Generalisations -- 5 Duality -- 6 Conclusions -- References -- Finite Size Effects in Integrable Quantum Field Theories -- 1 Introduction -- 2 Excursus on the Renormalization Group in 1+1 dimensions -- 3 Conformal Field Theory -- 4 Perturbed Conformal Field Theory -- 5 Light-cone lattice regularization of Sine-Gordon theory -- 6 Nonlinear Integral Equation from Bethe Ansatz -- 7 Conclusions -- References -- Nonperturbative Analysis of the Two-Frequency sine-Gordon Model -- 1 Introduction -- 2 Generalities -- 3 Truncated Conformal Space Approach -- 4 Form factor perturbation theory -- 5 Phase transition in DSG2 -- 6 The spectrum at the transition -- 7 Conclusions -- References -- The Non-Abelian Sigma Model with a Discrete Non-Abelian Symmetry Group -- 1 Introduction -- 2 The finite-size scaling function -- 3 The renormalized zero momentum 4-point coupling gR -- 4 The renormalized coupling in a finite volume -- 5 On the cut-off effects -- References -- Four-Dimensional Lattice Results on the MSSM Electroweak Phase Transition -- 1 MSSM 4d simulation -- 2 Strength of the phase transition -- 3 Properties of the bubble wall -- 4 Conclusions -- References -- Screening in Hot SU(2) Gauge Theory and Propagators in 3D Adjoint Higgs Model -- References -- Chaotic Quantization of Classical Gauge Fields -- 1 Questions -- 2 Classical Chaos in Lattice Gauge Theory -- 3 The Mechanism of Chaotic Quantization -- 4 Speculations -- References -- Effective Average Action in Statistical Physics and Quantum Field Theory -- 1 Introduction -- 2 Non-Perturbative flow equation -- 3 O(N)-symmetric scalar models -- References.

On the Convergence of the Expansion of Renormalization Group Flow Equation -- 1 Introduction -- 2 Renormalization Group Flow Equations -- 3 Expansion of the Potential -- 4 Finite-Temperature Flow Equation -- 5 Results at T = 0 -- 6 Results at T ≠ 0 -- 7 Critical exponents -- 8 Conclusions -- References -- Phase Transitions in Non-Hermitean Matrix Models and the "Single Ring" Theorem -- 1 Introduction -- 2 The Method of Hermitization and Non-Gaussian Ensembles -- 3 Boundaries and Boundary Values -- References -- Unraveling the Mystery of Flavor -- 1 Introduction -- 2 The Standard Model at low energies -- 3 The quark sector of the Standard Model -- 4 Constraints on VCKM -- 5 Electroweak baryogenesis -- 6 Future scientific program -- 7 A few concluding comments -- References -- Functional Methods for Intrinsically Non-Perturbative Physics: Pair Production via Crossed Lasers -- 1 Introduction -- A. First Cumulant Approximation -- B. A "Modified First Cumulant" Approximation -- C. Non-Perturbative Approximation to the Full Cluster Expansion -- References -- The Nahm Transformation on R2 x T2 -- 1 Introduction -- 2 Basics -- 3 The Nahm transformation -- 4 One instantons -- 5 T2 xR2 -- References -- A 2D Integrable Axion Model and Target Space Duality -- 1 The axion model -- 2 Lax pairs and T duality -- 3 Quantum equivalence -- 4 Quantum integrability -- 5 Conclusions -- References -- Duality and Coherent States in the Calogero Model -- Abstract -- 1 Introduction -- 2 SU(1,1) algebra -- 3 Coherent States -- 4 Duality and Coherent States -- References -- Supersymmetric Ward Identities and Chiral Symmetry Breaking in SUSY QED -- 1 INTRODUCTION -- 2 The Formulation of SQED -- 3 Superfield Analysis of the DSE -- 4 Component Analysis of the DSE -- 5 Conclusion -- References.