2009/07/09 by Soon-Tae Hong
Mathematics · Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Cohomology #De Rham cohomology #Equivariant cohomology #Gauge theory #Hamiltonian (control theory) #Magnetic monopole #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #Quantum electrodynamics #Quantum mechanics #hep-th
paper · pdf · doi:10.1142/s0217732310033736
published as Mod.Phys.Lett.A25:2529-2539,2010 · 8 pages
arxiv created 2009/07/09 · openalex publication_date 2010/08/30 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We exploit the 't Hooft–Polyakov monopole to construct closed algebra of the quantum field operators and the BRST charge Q BRST . In the first-class configuration of the Dirac quantization, by including the Q BRST -exact gauge-fixing term and the Faddeev–Popov ghost term, we find the BRST invariant Hamiltonian to investigate the de Rham type cohomology group structure for the monopole system. The Bogomol'nyi bound is also discussed in terms of the first-class topological charge defined on the extended internal two-sphere.