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Covariant Variational Evolution and Jacobi brackets: Fields [PDF]
Modern Physics Letters A, 2020 The analysis of the covariant brackets on the space of functions on the solutions to a variational problem in the framework of contact geometry initiated in the companion letter[Formula: see text] is extended to the case of the multisymplectic formulation of the free Klein–Gordon theory and of the free Schrödinger equation.
Ciaglia, F. +4 more
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Dirac equation of spin particles and tunneling radiation from a Kinnersly black hole
European Physical Journal C: Particles and Fields, 2017 In curved space-time, the Hamilton–Jacobi equation is a semi-classical particle equation of motion, which plays an important role in the research of black hole physics.
Guo-Ping Li +3 more
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Celestial locality and the Jacobi identity
Journal of High Energy Physics, 2023 We show the equivalence of several different tests of the Jacobi identity for celestial currents at tree level, in particular finding a simple, practical condition on hard momentum space 4-point amplitudes in any EFT. Along the way we clarify the role of
Adam Ball
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Доклады Белорусского государственного университета информатики и радиоэлектроники, 2022 The geometrical Kosambi–Cartan–Chern approach has been applied to study the systems of differential equations which arise in quantum-mechanical problems of a particle on the background of non-Euclidean geometry.
N. G. Krylova, V. M. Red’kov
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Journal of High Energy Physics, 2021 We introduce a two-dimensional sigma model associated with a Jacobi manifold. The model is a generalisation of a Poisson sigma model providing a topological open string theory.
Francesco Bascone +2 more
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On Jacobi field splitting theorems
Differential Geometry and its Applications, 2014 Expository ...
Gumaer, Dennis, Wilhelm, Frederick
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On the structure vector field of a real hypersurface in complex quadric
Open Mathematics, 2018 From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact.
Dios Pérez Juan de
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Advances in High Energy Physics, 2016 We study the stability of the cosmological scalar field models by using the Jacobi stability analysis, or the Kosambi-Cartan-Chern (KCC) theory. In this approach, we describe the time evolution of the scalar field cosmologies in geometric terms, by ...
Bogdan Dănilă +4 more
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European Physical Journal C: Particles and Fields, 2022 We entertain the possibility that dark energy arises from the Higgs field of quintessence type in the non-perturbative regimes. For this purpose we utilize a set of exact solutions of Higgs field theory recently devised, in terms of Jacobi elliptical ...
Marco Frasca +2 more
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Covariant GUP Deformed Hamilton-Jacobi Method
Advances in High Energy Physics, 2017 We first briefly revisit the original Hamilton-Jacobi method and show that the Hamilton-Jacobi equation for the action I of tunneling of a fermionic particle from a charged black hole can be written in the same form of that for a scalar particle.
Benrong Mu, Peng Wang, Haitang Yang
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