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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Language: | English |
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Wiley
2022-01-01
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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. |
format | Article |
id | doaj-art-20f7a6f563f746cd984155ab3e4beeef |
institution | Kabale University |
issn | 1687-7365 |
language | English |
publishDate | 2022-01-01 |
publisher | Wiley |
record_format | Article |
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 |