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Dirac–Bergmann analysis and degrees of freedom of coincident f(Q)-gravity
We investigate the propagating degrees of freedom of f ( Q )-gravity in a 4-dimensional space-time under the imposition of the coincident gauge by...
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Singular Lagrangians and the Faddeev-Jackiw Formalism in Classical Mechanics
Classical mechanical systems with internal constraints will be examined using the extended symplectic formalism of Faddeev-Jackiw. We will derive the...
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General Solution and Canonical Quantization of the Conic Path Constrained Second-Class System
We consider the problem of constrained motion along a conic path under a given external potential function. The model is described as a second-class...
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Supercomputers against strong coupling in gravity with curvature and torsion
Many theories of gravity are spoiled by strongly coupled modes: the high computational cost of Hamiltonian analysis can obstruct the identification...
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Cartan rediscovered in general relativity
Élie Cartan’s invariant integral formalism is extended to gauge field theory, including general relativity. This constitutes an alternative...
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Hamiltonian analysis and Faddeev–Jackiw formalism for two dimensional quadratic gravity expressed as BF theory
We examine the model of two-dimensional quadratic gravity as a consequence of symmetry breaking within the framework of background field (BF) theory....
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A history of observables and Hamilton–Jacobi approaches to general relativity
The main focus is on the Hamilton–Jacobi techniques in classical general relativity that were pursued by Peter Bergmann and Arthur Komar in the 1960s...
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Gauge symmetry of linearised Nordström gravity and the dual spin two field theory
The field equations are proposed for the third rank tensor field with the hook Young diagram. The equations describe the irreducible spin two...
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Global Conserved Quantities and Unfree Gauge Symmetry
AbstractWe consider a class of theories with unfree gauge symmetry, whose gauge parameters are restricted by differential equations. We demonstrate...
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Hamilton–Jacobi framework for Regge–Teitelboim gravity
In higher co-dimension, we discuss the Hamilton–Jacobi formalism for brane gravity described by the Regge–Teitelboim model, in higher co-dimension....
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Unfree Gauge Symmetry
AbstractThe gauge symmetry is said unfree if the gauge transformation leaves the action functional unchanged provided for the gauge parameters are...
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First-Order Gauge-Invariant Generalization of the Quantum Rigid Rotor
A first-order gauge-invariant formulation for the two-dimensional quantum rigid rotor is long known in the theoretical physics community as an...
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A Gauge Invariant Description for the General Conic Constrained Particle from the FJBW Iteration Algorithm
We consider a second-degree algebraic curve describing a general conic constraint imposed on the motion of a massive spinless particle. The problem...
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Optimizing hydrogen evolution reaction: Computational screening of single metal atom impurities in 2D MXene Nb4C3O2
MXenes, a novel class of 2D transition metal carbides and nitrides, have recently emerged as a promising candidate in the quest for efficient...
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Consistent and non-consistent deformations of gravitational theories
We study the internally abelianized version of a range of gravitational theories, written in connection tetrad form, and study the possible...
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Creation of Brane Universes
The presence of a 4-form field in a fixed background spacetime can give rise to the creation of brane universes, that mimic the Swinger pair...
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Weak-strong duality of the non-commutative Landau problem induced by a two-vortex permutation, and conformal bridge transformation
A correspondence is established between the dynamics of the two-vortex system and the non-commutative Landau problem (NCLP) in its sub- (non-chiral),...
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R 2 corrected AdS2 holography
We approach the problem of constructing an explicit holographic dictionary for the AdS 2 /CFT 1 correspondence in the context of higher derivative...