New Non-Perturbative Methods and Quantization on the Light Cone

Among the several distinct ways of formulating and quantizing a Hamiltonian system, the light cone approach enjoys special status because it has the largest stability group. The aim of this volume is to present recent achievements and open problems in this rather unusual quantization framework to a large audience. The formulation is set up in a comprehensive introduction where the issues are also clearly indicated with specific examples: vacuum structure, signature of non-perturbative effects, chiral symmetry breaking, light cone gauge theories, etc. The following chapters address these topics through a selection of the most relevant contributions presented at Les Houches.
This volume should prove valuable to newcomers in the field, and graduates and academics.

Contenu

I: Effective Hamiltonian and Renormalization Group.- Lecture 1 Renormalization of Hamiltonians.- Lecture 2 Spin Glasses and the Renormalization Group.- Lecture 3 Hamiltonian Flow in Condensed Matter Physics.- II: Quantization of Constrained Systems.- Lecture 4 Coherent State and Constrained Systems.- Lecture 5 Unified Description and Canonical Reduction to Dirac's Observables of the Four Interactions.- Lecture 6 Time Evolution in General Gauge Theories.- III: Results in 3 + 1 Dimensions.- Lecture 7 Developing Transport Theory to Study the Chiral Phase Transition.- Lecture 8 On Deriving the Effective Interaction from the QCD Lagrangian.- Lecture 9 Front form QED3+1: The Spin-Multiplet Structure of the Positronium Spectrum at Strong Coupling.- Lecture 10 Spectral Fluctuations of the QCD Dirac Operator.- IV: New Developments.- Lecture 11 Collinear QCD Models.- Lecture 12 A New Lattice Formulation of the Continuum.- Lecture 13 Colour-Dielectric Gauge Theory on a Transverse Lattice.- V: Light Cone Quantization Under Scrutiny.- Lecture 14 Light Front Treatment of Nuclei and Deep Inelastic Scattering.- Lecture 15 Light-cone string.- Lecture 16 Quantum Field Theory in Singular Limits.- VI: Gauge Theories and Topological Issues.- Lecture 17 On the Transition from Confinement to Screening in Large N Gauge Theory.- Lecture 18 More on Screening and Confinements in 2D QCD.- Lecture 19 Intermediate Volumes and the Role of Instantons.- Lecture 20 Renormalization in the Coulomb Gauge.- Lecture 21 Stable Knotlike Solitons.- VII: Structure Functions. Theory and Experiments.- Lecture 22 Theoretical Uncertainties in the Determination of ?3 from Hadronic Event Observables: the Impact of Nonperturbative Effects.- Lecture 23 Phenomenology of Renormalons in Inclusive Processes.- Lecture 24 Power Term in QCD Hard Processes and Running Coupling.- Lecture 25 Highlights on Deep Inelastic Scattering at HERA.- Lecture 26 ?s: From DIS to LEP.- Lecture 27 On Small-s Resummations for the Evolution of Deep-Inelastic Structure Functions.- VIII: Phenomenological Applications.- Lecture 28 The Light-Cone Fock State Expansion and QCD Phenomenology.- Lecture 29 The Analog of t'Hooft Pions with Adjoint Fermions.- Lecture 30 Physical Coupling Schemes and QCD Exclusive Processes.- IX: Condensates and Chiral Symmetry Breaking.- Lecture 31 A 3+1 Dimensional LF Model with Spontaneous ?SB.- Lecture 32 Chiral Symmetry and Light-Cone Wave Functions.- Lecture 33 QCD at Finite Extension.- Lecture 34 Technicalities of the Zero Modes in the Light-Cone Representation.- Lecture 35 Zero Mode and Symmetry Breaking on the Light Front.