77 citations · 461 across the 38 of their papers we have counts for
39 papers
Induced Couplings and Causal Bounds from Nondegenerate Dirac Lagrangians
Marcelo Netz-Marzola, David Vasak, Vladimir Denk +2
The standard Dirac Lagrangian is linear in the field derivatives and therefore has a vanishing Hessian. We identify the minimal null deformations of this Lagrangian that make the c…
Tidal Forces in the Presence of Torsion and Nonmetricity
Armin van de Venn, Marcelo Netz-Marzola, David Vasak +1
This work investigates how torsion and nonmetricity modify tidal accelerations in metric-affine gravity. We derive a projected deviation equation that generalizes the standard geod…
Relativistic generalization of Feynman's path integral on the basis of extended Lagrangians
Jürgen Struckmeier
In the extended Lagrange formalism of classical point dynamics, the system's dynamics is parametrized along a system evolution parameter , and the physical time is treated a…
Bounding the Cosmological Constant using Galactic Rotation Curves from the SPARC Dataset
David Benisty, David Vasak, Jürgen Struckmeier +1
Dark energy (and its simplest model, the Cosmological Constant or ) acts as a repulsive force that opposes gravitational attraction. Assuming galaxies maintain a steady state ov…
On CCGG, the De Donder-Weyl Hamiltonian formulation of canonical gauge gravity
D. Vasak, J. Kirsch, A. van de Venn +2
This paper gives a brief overview of the manifestly covariant canonical gauge gravity (CCGG) that is rooted in the De Donder-Weyl Hamiltonian formulation of relativistic field theo…
Exact invariants for a class of three-dimensional time-dependent classical Hamiltonians
Jürgen Struckmeier, Claus Riedel
An exact invariant is derived for three-dimensional Hamiltonian systems of particles confined within a general velocity-independent potential. The invariant is found to contain…
Improved envelope and emittance description of particle beams using the Fokker-Planck approach
Jürgen Struckmeier
Beam dynamics calculations that are based on the Vlasov equation do not permit the the treatment of stochastic phenomena such as intra-beam scattering. If the nature of the stochas…
The problem of self-consistent particle phase space distributions for periodic focusing channels
Jürgen Struckmeier, Ingo Hofmann
Charged particle beams that remain stationary while passing through a transport channel are represented by ``self-consistent'' phase space distributions. As the starting point, we…
Hamiltonian dynamics on the symplectic extended phase space for autonomous and non-autonomous systems
Jürgen Struckmeier
We will present a constrained description of Hamiltonian dynamics on the ``symplectic extended phase space'' that is analogous to that of a time-independent Hamiltonian system on t…
Covariant Canonical Gauge Theory of Classical Gravitation for Scalar, Vector, and Spin-1/2 Particle Fields
David Vasak, Jürgen Struckmeier
The framework of the Covariant Canonical Gauge theory of Gravity (CCGG) is described in detail. CCGG emerges naturally in the Palatini formulation, where the vierbein and the spin…
Stochastic effects in real and simulated charged particle beams
Jürgen Struckmeier
The Vlasov equation embodies the smooth field approximation of the self-consistent equation of motion for charged particle beams. This framework is fundamentally altered if we incl…
Noether's theorem and Lie symmetries for time-dependent Hamilton-Lagrange systems
Jürgen Struckmeier, Claus Riedel
Noether and Lie symmetry analyses based on point transformations that depend on time and spatial coordinates will be reviewed for a general class of time-dependent Hamiltonian syst…
Invariants for time-dependent Hamiltonian systems
Jürgen Struckmeier, Claus Riedel
An exact invariant is derived for -degree-of-freedom Hamiltonian systems with general time-dependent potentials. The invariant is worked out in two equivalent ways. In the first…
Torsion driving cosmic expansion
Johannes Kirsch, David Vasak, Armin van de Venn +1
We study a cosmological model based on the canonical Hamiltonian transformation theory. Using a linear-quadratic approach for the free gravitational De Donder-Weyl Hamiltonian $H_\…
Energy-second-moment map analysis as an approach to quantify the irregularity of Hamiltonian systems
Jürgen Struckmeier, Andreas Redelbach
A different approach will be presented that aims to scrutinize the phase-space trajectories of a general class of Hamiltonian systems with regard to their regular or irregular beha…
Torsional dark energy in quadratic gauge gravity
Armin van de Venn, David Vasak, Johannes Kirsch +1
The Covariant Canonical Gauge theory of Gravity (CCGG) is a gauge field formulation of gravity which a priori includes non-metricity and torsion. It extends the Lagrangian of Einst…
On the cosmological constant in the deformed Einstein-Cartan gauge gravity in De Donder-Weyl Hamiltonian formulation
D. Vasak, J. Kirsch, J. Struckmeier +1
A modification of the Einstein-Hilbert theory, the Covariant Canonical Gauge Gravity (CCGG), leads to a cosmological constant that represents the energy of the space-time continuum…
The dark side of the torsion: Dark Energy from propagating torsion
David Benisty, Eduardo I. Guendelman, Armin van de Venn +3
An extension to the Einstein-Cartan (EC) action is discussed in terms of cosmological solutions. The torsion incorporated in the EC Lagrangian is assumed to be totally anti-symmetr…
Identity for scalar-valued functions of tensors and its applications to energy-momentum tensors in classical field theories and gravity
J. Struckmeier, A. van de Venn, D. Vasak
We prove a theorem on scalar-valued functions of tensors, where ``scalar'' refers to absolute scalars as well as relative scalars of weight . The present work thereby generalize…
Low-Redshift Constraints on Covariant Canonical Gauge Theory of Gravity
David Benisty, David Vasak, Johannes Kirsch +1
Constraints on the Covariant Canonical Gauge Gravity (CCGG) theory from low-redshift cosmology are studied. The formulation extends Einstein's theory of General Relativity (GR) by…
Covariant canonical gauge theory of gravitation for fermions
Jürgen Struckmeier, David Vasak
We derive the interaction of fermions with a dynamical space-time based on the postulate that the description of physics should be independent of the reference frame, which means t…
Rigorous derivation of dark energy and inflation as geometry effects in Covariant Canonical Gauge Gravity
David Vasak, Johannes Kirsch, Jürgen Struckmeier
The cosmological implications of the Covariant Canonical Gauge Theory of Gravity (CCGG) are investigated. CCGG is a Palatini theory derived from first principles using the canonica…
Vanishing torsion coupling of the Maxwell field in canonical gauge theory of gravity
Johannes Münch, Jürgen Struckmeier, David Vasak
The Maxwell field can be viewed as a -gauge theory, therefore, generalizing it to form-invariance in dynamical spacetime backgrounds should take this symmetry into account. T…
Covariant Canonical Quantization
P. Liebrich
A formulation of Covariant Canonical Quantization is discussed, which works on an extended Hilbert space and reduces to conventional canonical quantization when constraining to the…