Hamiltonian Mechanics of Gauge Systems (Cambridge Monographs on Mathematical Physics)
Wydawnictwo: Cambridge University Press
The principles of gauge symmetry and quantization are fundamental to modern understanding
of the laws of electromagnetism, weak and strong subatomic forces and the theory
of general relativity. Ideal for graduate students and researchers in theoretical
and mathematical physics, this unique book provides a systematic introduction to
Hamiltonian mechanics of systems with gauge symmetry. The book reveals how gauge
symmetry may lead to a non-trivial geometry of the physical phase space and studies
its effect on quantum dynamics by path integral methods. It also covers aspects
of Hamiltonian path integral formalism in detail, along with a number of related
topics such as the theory of canonical transformations on phase space supermanifolds,
non-commutativity of canonical quantization and elimination of non-physical variables.
The discussion is accompanied by numerous detailed examples of dynamical models
with gauge symmetries, clearly illustrating the key concepts.