The Hamilton--Jacobi and Symplectic Analysis for Extended Hořava Gravity
Abstract
The Hamilton-Jacobi [HJ] analysis and the Faddeev-Jackiw [FJ] quantization for the linearized, non-projectable λR model, extended by the lowest-order term of Blas, Pujolàs, and Sibiryakov and the higher-order term involving the square of the Cotton tensor, were carried out. The cases λ≠ 1/3 and λ= 1/3 are analyzed. Within the Hamilton-Jacobi framework, we obtain the complete set of Hamiltonians, generalized brackets, fundamental differential, characteristic equations, and gauge transformations of the theory. In the Faddeev-Jackiw framework, a symplectic tensor is constructed from which the fundamental brackets are identified. The HJ and FJ brackets coincide, and from the symplectic tensor, the measure for the quantum path integral is calculated. The differences between the cases λ≠ 1/3 and λ= 1/3 at the quantum path integral are discussed.
Related
- Convex C^1 Representation for Critical Hamilton-Jacobi Equations
- Policy iteration for Hamilton-Jacobi-Isaacs equations with control constraints and comparison with Hamilton-Jacobi-Bellman equations
- Quasi-Einstein metrics from Horava gravity
- Singularities and asymptotics of solutions of the Chandrasekhar-Hamilton-Jacobi equation
- Pathological viscosity solutions of Hamilton--Jacobi equations
BibTeX
@misc{castroluna2026hamiltonjacobi,
title = {{The Hamilton--Jacobi and Symplectic Analysis for Extended Hořava Gravity}},
author = {Diana Vanessa Castro-Luna and Alberto Escalante},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.32218},
eprint = {2609.32218},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.32218},
}
RIS
TY - UNPB
TI - The Hamilton--Jacobi and Symplectic Analysis for Extended Hořava Gravity
AU - Diana Vanessa Castro-Luna
AU - Alberto Escalante
PY - 2026
DA - 2026/09/26
PB - arXiv
DO - 10.48550/arxiv.2609.32218
UR - https://arxiv.org/abs/2609.32218
AB - The Hamilton-Jacobi [HJ] analysis and the Faddeev-Jackiw [FJ] quantization for the linearized, non-projectable λR model, extended by the lowest-order term of Blas, Pujolàs, and Sibiryakov and the higher-order term involving the square of the Cotton tensor, were carried out. The cases λ≠ 1/3 and λ= 1/3 are analyzed. Within the Hamilton-Jacobi framework, we obtain the complete set of Hamiltonians, generalized brackets, fundamental differential, characteristic equations, and gauge transformations of the theory. In the Faddeev-Jackiw framework, a symplectic tensor is constructed from which the fundamental brackets are identified. The HJ and FJ brackets coincide, and from the symplectic tensor, the measure for the quantum path integral is calculated. The differences between the cases λ≠ 1/3 and λ= 1/3 at the quantum path integral are discussed.
ER -