De Rham Cohomology in Constrained Physical System


In this chapter, we exploit ’t Hooft-Polyakov monopole to construct closed algebra of quantum field operators and BRST charge Q. In a first class configuration of Dirac quantization, by including Q-exact gauge fixing term and Faddeev-Popov ghost term, we find the BRST invariant Hamiltonian to investigate de Rham cohomology group structure for the monopole system. Bogomol’nyi bound is also discussed in terms of the first class topological charge defined on the extended internal two-sphere [134].


Poisson Bracket Class Constraint Ghost Number BRST Operator BRST Transformation 
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© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.Science EducationEwha Womans UniversitySeoulRepublic of Korea

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