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.

arXiv comment20 Pages. arXiv admin note: text overlap with arXiv:2007.00452

References in corpus (38)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Antibracket, Antifields and Gauge-Theory Quantization
• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• On the mixed symmetry irreducible representations of the Poincare group in the BRST approach
• A Note on Classical Solution of Chaplygin-gas as D-brane
• A Complete Perturbative Expansion for Constrained Quantum Dynamics
• Hamiltonian embedding of the massive Yang-Mills theory and the generalized Stückelberg formalism
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. I. Bosonic fields
• On the quantum dynamics of a point particle in conical space
• Star Product for Second Class Constraint Systems from a BRST Theory
• Monopole Gauge Fields and Quantum Potentials Induced by the Geometry in Simple Dynamical Systems
• Curvature Dependent Diffusion Flow on Surface with Thickness
• General Cubic Interacting Vertex for Massless Integer Higher Spin Fields
• Geometrically Induced Gauge Structure on Manifolds Embedded in a Higher Dimensional Space
• Quantum mechanics on Riemannian Manifold in Schwinger's Quantization Approach I
• The Classical and Quantum Mechanics of a Particle on a Knot
• Canonical quantization of motion on submanifolds
• Geometric Potential Resulting from Dirac Quantization
• Constrained BRST- BFV Lagrangian formulations for Higher Spin Fields in Minkowski Spaces
• Non-Abelian Conversion and Quantization of Non-scalar Second-Class Constraints
• On the definition of Quantum Free Particle on Curved Manifolds
• BRST Symmetry for Torus Knot
• Particle on a torus knot: Symplectic analysis
• Wick Quantization of Cotangent Bundles over Riemannian Manifolds
• Nonrelativistic Quantum Particle in a Curved Space as a Constrained System
• Quantum Mechanical Embedding of Spinning Particle and Induced Spin-connection
• Quantum dynamics of non-relativistic particles and isometric embeddings
• On the BFFT quantization of first order systems
• Batalin-Tyutin Quantisation of the Spinning Particle Model
• Reducible Stueckelberg symmetry and dualities
• General method for including Stueckelberg fields
• Particle on a torus knot: a Hamiltonian analysis
• Noncommutative Quantum Mechanics on a Curved Space
• Quantum mechanics on Riemannian Manifold in Schwinger's Quantization Approach II
• Quantum mechanics on Riemannian Manifold in Schwinger's Quantization approach III
• Embedding of Relativistic Particles and Spinor Natural-Frame
• Hamiltonian and Lagrangian BRST quantization in Riemann Manifold
• N=1 Supersymmetric Quantum Mechanics on a Curved Space

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• Hamiltonian and Lagrangian BRST quantization in Riemann Manifold