Zobrazeno 1 - 10
of 182
pro vyhledávání: '"Fernando Barbero"'
Autor:
G., J. Fernando Barbero, Margalef-Bentabol, Juan, Vicente-Cano, Aitor, Villaseñor, Eduardo J. S.
The relation between the Husain-Kucha\v{r} model and some extensions thereof that incorporate a dynamical time variable is explored. To this end, we rely on the geometric approach to the Hamiltonian dynamics of singular (constrained) systems provided
Externí odkaz:
http://arxiv.org/abs/2410.12504
Autor:
G., J. Fernando Barbero
This paper discusses several functional analytic issues relevant for field theories in the context of the Hamiltonian formulation for a free, massless, scalar field defined on a closed interval of the real line. The fields that we use belong to a Sob
Externí odkaz:
http://arxiv.org/abs/2405.17996
Publikováno v:
Symmetry, Vol 13, Iss 8, p 1430 (2021)
The Hamiltonian description of mechanical or field models defined by singular Lagrangians plays a central role in physics. A number of methods are known for this purpose, the most popular of them being the one developed by Dirac. Here, we discuss oth
Externí odkaz:
https://doaj.org/article/7e93a34170de40e3a58b3bd4fdc41aee
Publikováno v:
Physical Review D, 109 (2024) 064047
The Gotay-Nester-Hinds method is used in this paper to study the Hamiltonian formulation of the Euclidean self-dual action. This action can be used to arrive at the complex Ashtekar formulation of General Relativity or a real connection formulation f
Externí odkaz:
http://arxiv.org/abs/2312.12947
We give an account of the state of the art about black hole entropy in Loop Quantum Gravity. This chapter contains a historical summary and explains how black hole entropy is described by relying on the concept of isolated horizon, with an emphasis o
Externí odkaz:
http://arxiv.org/abs/2212.13469
Publikováno v:
Physica Scripta 97 (2022) 125202
The purpose of this paper is to discuss a number of issues that crop up in the computation of Poisson brackets in field theories. This is specially important for the canonical approaches to quantization and, in particular, for loop quantum gravity. W
Externí odkaz:
http://arxiv.org/abs/2207.00342
Publikováno v:
Physical Review D, 106 (2022) 025011
We analyze the Lagrangian and Hamiltonian formulations of the Maxwell-Chern-Simons theory defined on a manifold with boundary for two different sets of boundary equations derived from a variational principle. We pay special attention to the identific
Externí odkaz:
http://arxiv.org/abs/2204.06073
Publikováno v:
Journal of High Energy Physics, 05 (2022) 175
We study the internally abelianized version of a range of gravitational theories, written in connection tetrad form, and study the possible interaction terms that can be added to them in a consistent way. We do this for 2+1 dimensional and 3+1 dimens
Externí odkaz:
http://arxiv.org/abs/2202.07997
Publikováno v:
Physical Review D, 105 (2022) 064066
We study a generalization of the Holst action where we admit nonmetricity and torsion in manifolds with timelike boundaries (both in the metric and tetrad formalism). We prove that its space of solutions is equal to the one of the Palatini action. Th
Externí odkaz:
http://arxiv.org/abs/2201.12141
Publikováno v:
Physical Review D, 104 (2021) 044046
We prove the equivalence in the covariant phase space of the metric and connection formulations for Palatini gravity, with nonmetricity and torsion, on a spacetime manifold with boundary. To this end, we will rely on the cohomological approach provid
Externí odkaz:
http://arxiv.org/abs/2105.07053