著者紹介

内容

目次

Preface; The network; 1. The constraint algebra of higher dimensionalChern-Simons; 2. Non-relativistic Chern-Simons vortices from the constrainedHamiltonian formalism; 3. Classical solutions of gravitating Chern-Simonselectrodynamics; 4. Exponentionally localised instantons in a hierachy ofHiggs models; 5. Obstructions to gauging WZ terms: a symplectic curiosity; 6.Global aspects of symmetries in sigma models with torsion; 7. Canonicalstructure of the non-linear sigma model in a polynomial formulation; 8. Amanifestly gauge-invariant approach to quantum theories of gauge fields; 9.On the Hamiltonian formulation of the higher dimensional Chern-Simonsgravity; 10. An example of loop quantization; 11. Gauge fixing in constrainedsystems; 12. Light-cone formulation of gauge theories; 13. Hamiltonianconstraints and Dirac observables; 14. Gauging kinematical and internalsymmetry groups for extended systems; 15. On the harmonic interaction ofthree relativistic point particles; 16. Non-existence of staticmulti-black-hole solutions in 2+1 dimensions; 17. Spherically symmetricgravity and the notion of time in general relativity; 18. Canonicaldecomposition of Belinskii-Zakharov one-soliton; 19. Hamiltonian reductionand the R-matrix of the Calogero model; 20. Intrinsic approach to theLegendre transformation in super-mechanics; 21. Field-antifield descriptionof the anomalous theories; 22.Transfer matrix quantization of generalrelativity, and the problem of time; 23. The W3-particle; 24. Pure geometricapproach to singular Lagrangians with higher derivatives; 25. Dirac versusreduced phase space quantization; 26. Classical and quantum aspects ofdegenerate metric field; 27. BRST-antibracket cohomology in 2D conformalgravity; 28. Quantization of 2+1 gravity for g=1 and g=2; 29. Geometry anddynamics with time-dependent constraints; 30. Collective coordinates and BRSTtransformations, or Gauge theories without gauge fields; 31. Geometry offermionic constraints in superstring theories; 32. BRST and new superstringstates; 33. Generalized canonical quantization of gauge theories withpolarized second-class constraints; 34. Radiation field on superspace.