Hamiltonian and Lagrangian BRST Quantization in Riemann Manifold II

We have previously developed the BRST quantization on the hypersurface VN−1 embedded in N-dimensional Euclidean space RN in both Hamiltonian and Lagrangian formulation. We generalize the formalism in the case of L-dimensional manifold VL embedded in RN with 1≤L<N. The result is essentially the sa...

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Main Author: Vipul Kumar Pandey
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2022/6410245
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author Vipul Kumar Pandey
author_facet Vipul Kumar Pandey
author_sort Vipul Kumar Pandey
collection DOAJ
description We have previously developed the BRST quantization on the hypersurface VN−1 embedded in N-dimensional Euclidean space RN in both Hamiltonian and Lagrangian formulation. We generalize the formalism in the case of L-dimensional manifold VL embedded in RN with 1≤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.
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series Advances in High Energy Physics
spelling doaj-art-20f7a6f563f746cd984155ab3e4beeef2025-02-03T05:50:38ZengWileyAdvances in High Energy Physics1687-73652022-01-01202210.1155/2022/6410245Hamiltonian and Lagrangian BRST Quantization in Riemann Manifold IIVipul Kumar Pandey0Department of PhysicsWe have previously developed the BRST quantization on the hypersurface VN−1 embedded in N-dimensional Euclidean space RN in both Hamiltonian and Lagrangian formulation. We generalize the formalism in the case of L-dimensional manifold VL embedded in RN with 1≤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.http://dx.doi.org/10.1155/2022/6410245
spellingShingle Vipul Kumar Pandey
Hamiltonian and Lagrangian BRST Quantization in Riemann Manifold II
Advances in High Energy Physics
title Hamiltonian and Lagrangian BRST Quantization in Riemann Manifold II
title_full Hamiltonian and Lagrangian BRST Quantization in Riemann Manifold II
title_fullStr Hamiltonian and Lagrangian BRST Quantization in Riemann Manifold II
title_full_unstemmed Hamiltonian and Lagrangian BRST Quantization in Riemann Manifold II
title_short Hamiltonian and Lagrangian BRST Quantization in Riemann Manifold II
title_sort hamiltonian and lagrangian brst quantization in riemann manifold ii
url http://dx.doi.org/10.1155/2022/6410245
work_keys_str_mv AT vipulkumarpandey hamiltonianandlagrangianbrstquantizationinriemannmanifoldii