Hamiltonian Mechanics of Gauge Systems [book]

Lev V. Prokhorov, Sergei V. Shabanov
2009 unpublished
Index α−bracket, 78 α−ordering, 78 Abelian conversion of second-class constraints, 167 non-Abelian conversion of second-class constraints, 167 algebra of constraints open, 157 anholonomic basis, 3 base point in path integral, 86 canonical momentum, 7 canonical quantization, 69 canonical variables gauge invariant, 231 canonical transformation, 10 infinitesimal, 14, 93 canonical transformation in path integrals, 93, 95, 97 canonical transformations on symplectic supermanifolds, 37-44 Cartan-Weyl
more » ... 37-44 Cartan-Weyl basis, 424 real orthonormal, 425 Cartan-Killing form, 421 Cartan subalgebra, 421 Casimir operator, 20, 426 Casimir polynomials, 426 center of a gauge group, 247 change of the base point in path integral, 87 change of variables compatible with the gauge transformation law and the gauge fixing, 215 covering group, 127 modular domain, 127 change of variables in superspace, 430 Chevalley theorem, 237, 251, 264 Chevalley theorem for gauge groups of rank 2, 239 Chevalley theorem for 2D Yang-Mills theory, 286 Christoffel symbols, 8, 26, 79 Confinement, 412-414 connection reducible, 270, 375 Cambridge University Press 978-0-521-89512-5 -Hamiltonian Mechanics of Gauge Systems
doi:10.1017/cbo9780511976209 fatcat:fnn7zmya2nbzrnpptbmdz7dtna