# Coherent states, Yang-Mills theory, and reduction

@article{Hall1999CoherentSY, title={Coherent states, Yang-Mills theory, and reduction}, author={Brian C. Hall}, journal={arXiv: Quantum Physics}, year={1999} }

This paper explains some of the ideas behind a prior joint work of the author with Bruce Driver on the canonical quantization of Yang-Mills theory on a spacetime cylinder. The idea is that the generalized Segal-Bargmann transform for a compact group can be obtained from the ordinary Segal-Bargmann transform by imposing gauge symmetry.

## 3 Citations

### Holomorphic Methods in Mathematical Physics

- Mathematics
- 1999

This set of lecture notes gives an introduction to holomorphic function spaces as used in mathematical physics. The emphasis is on the Segal-Bargmann space and the canonical commutation relations.…

### Holomorphic methods in analysis and mathematical physics

- Mathematics
- 2000

Dedicated to my " father " Leonard Gross, and to the memory of my " grandfather " Irving Segal. Contents 1. Introduction 1 2. Basics of holomorphic function spaces 2 3. Examples of holomorphic…

### HARMONIC ANALYSIS WITH RESPECT TO HEAT KERNEL MEASURE

- Mathematics
- 2000

This paper surveys developments over the last decade in harmonic analysis on Lie groups relative to a heat kernel measure. These include analogs of the Hermite expansion, the Segal-Bargmann…

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