New Non-Perturbative Methods and Quantization on the Light Cone: Les Houches School, February 24 ― March 7, 1997 (Centre de Physique des Houches, 8)

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. Front Matter....Pages I-XVIII Introduction....Pages 1-13 Front Matter....Pages 15-15 Renormalization of Hamiltonians....Pages 17-23 Spin Glasses and the Renormalization Group....Pages 25-32 Hamiltonian Flow in Condensed Matter Physics....Pages 33-42 Front Matter....Pages 43-43 Coherent States and Constrained Systems....Pages 45-51 Unified Description and Canonical Reduction to Dirac’s Observables of the Four Interactions....Pages 53-62 Time Evolution in General Gauge Theories....Pages 63-69 Front Matter....Pages 71-71 Developing Transport Theory to Study the Chiral Phase Transition....Pages 73-79 On Deriving the Effective Interaction from the QCD Lagrangian....Pages 81-88 Front form QED(3+1): The spin-multiplet structure of the positronium spectrum at strong coupling....Pages 89-96 Spectral Fluctuations of the QCD Dirac Operator....Pages 97-104 Front Matter....Pages 105-105 Collinear QCD Models....Pages 107-113 A New Lattice Formulation of the Continuum....Pages 115-121 Colour-Dielectric Gauge Theory on a Transverse Lattice....Pages 123-129 Front Matter....Pages 131-131 Light Front Treatment of Nuclei and Deep Inelastic Scattering....Pages 133-139 Light-cone strings....Pages 141-145 Quantum Field Theory in Singular Limits....Pages 147-153 Front Matter....Pages 155-155 On the Transition from Confinement to Screening in Large N Gauge Theory....Pages 157-165 More on Screening and Confinements in 2D QCD ....Pages 167-178 Intermediate Volumes and the Role of Instantons....Pages 179-185 Front Matter....Pages 155-155 Renormalization in the Coulomb Gauge....Pages 187-193 Stable Knotlike Solitons....Pages 195-200 Front Matter....Pages 201-201 Theoretical Uncertainties in the Determination of α s from Hadronic Event Observables: the Impact of Nonperturbative Effects....Pages 203-208 Phenomenology of Renormalons in Inclusive Processes....Pages 209-212 Power Terms in QCD Hard Processes and Running Coupling....Pages 213-217 Highlights on deep inelastic scattering at HERA....Pages 219-223 α S : from DIS to LEP....Pages 225-236 On Small- x Resummations for the Evolution of Deep-Inelastic Structure Functions....Pages 237-241 Front Matter....Pages 243-243 The Light-Cone Fock State Expansion and QCD Phenomenology....Pages 245-251 The Analog of t’Hooft Pions with Adjoint Fermions....Pages 253-259 Physical Coupling Schemes and QCD Exclusive Processes....Pages 261-267 Front Matter....Pages 269-269 A 3+1 Dimensional LF Model with Spontaneous χ SB ....Pages 271-276 Chiral Symmetry and Light-Cone Wave Functions....Pages 277-283 QCD at Finite Extension....Pages 285-292 Technicalities of the Zero Modes in the Light-Cone Representation....Pages 293-299 Zero Mode and Symmetry Breaking on the Light Front....Pages 301-309 Back Matter....Pages 310-310