Hamiltonian and Lagrangian BRST quantization in Riemann Manifold II

Abstract

We have previously developed the BRST quantization on the hypersurface $V_{N-1}$ embedded in N dimensional Euclidean space $R_N$ in both Hamiltonian and Lagrangian formulation. We generalize the formalism in the case of L dimensional manifold $V_L$ embedded in $R_N$ with $1\le L<N$. The result is essentially the same as the previous one. We have also verified the results obtained here using a simple example of particle motion on a torus knot.

20 Pages. arXiv admin note: text overlap with arXiv:2007.00452

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Cited by in corpus (1)

• Hamiltonian and Lagrangian BRST quantization in Riemann Manifold