Back to Search
Start Over
Edge observables of the Maxwell-Chern-Simons theory
- Source :
- Physical Review D, 106 (2022) 025011
- Publication Year :
- 2022
-
Abstract
- We analyze the Lagrangian and Hamiltonian formulations of the Maxwell-Chern-Simons theory defined on a manifold with boundary for two different sets of boundary equations derived from a variational principle. We pay special attention to the identification of the infinite chains of boundary constraints and their resolution. We identify edge observables and their algebra [which corresponds to the well-known $U(1)$ Kac-Moody algebra]. Without performing any gauge fixing, and using the Hodge-Morrey theorem, we solve the Hamilton equations whenever possible. In order to give explicit solutions, we consider the particular case in which the fields are defined on a $2$-disk. Finally, we study the Fock quantization of the system and discuss the quantum edge observables and states.<br />Comment: 23 pages
- Subjects :
- High Energy Physics - Theory
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Physical Review D, 106 (2022) 025011
- Publication Type :
- Report
- Accession number :
- edsarx.2204.06073
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.106.025011