Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-10-20
AIP Conf.Proc.317:1-81,1994
Physics
High Energy Physics
High Energy Physics - Theory
74pages (Lectures)
Scientific paper
The following two loosely connected sets of topics are reviewed in these lecture notes: 1) Gauge invariance, its treatment in field theories and its implications for internal symmetries and edge states such as those in the quantum Hall effect. 2) Quantisation on multiply connected spaces and a topological proof the spin-statistics theorem which avoids quantum field theory and relativity. Under 1), after explaining the meaning of gauge invariance and the theory of constraints, we discuss boundary conditions on gauge transformations and the definition of internal symmetries in gauge field theories. We then show how the edge states in the quantum Hall effect can be derived from the Chern-Simons action using the preceding ideas. Under 2), after explaining the significance of fibre bundles for quantum physics, we review quantisation on multiply connected spaces in detail, explaining also mathematical ideas such as those of the universal covering space and the fundamental group. These ideas are then used to prove the aforementioned topological spin-statistics theorem.e of the universal covering space and the fundamental group.
No associations
LandOfFree
Gauge Symmetries,Topology and Quantisation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Gauge Symmetries,Topology and Quantisation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gauge Symmetries,Topology and Quantisation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-705641