On CCGG,the De Donder-Weyl Hamiltonian formulation of canonical gauge gravity |
| |
| Authors: | David Vasak Johannes Kirsch Armin van de Venn Vladimir Denk Jürgen Struckmeier |
| |
| Institution: | 1. Frankfurt Institute for Advanced Studies (FIAS), Frankfurt am Main, Germany;2. Frankfurt Institute for Advanced Studies (FIAS), Frankfurt am Main, Germany
Goethe Universität, Frankfurt am Main, Germany |
| |
| Abstract: | This short 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 theories, and the proven methodology of the canonical transformation theory. That framework derives, from a few basic physical and mathematical assumptions, equations describing generic matter and gravity dynamics with the spin connection emerging as a Yang Mills-type gauge field. While the interaction of any matter field with spacetime is fixed just by the transformation property of that field, a concrete gravity ansatz is introduced by the choice of the free (kinetic) gravity Hamiltonian. The key elements of this approach are discussed and its implications for particle dynamics and cosmology are presented. New insights: Anomalous Pauli coupling of spinors to curvature and torsion of spacetime, spacetime with (A)dS ground state, inertia, torsion and geometrical vacuum energy, Zero-energy balance of the Universe leading to a vanishing cosmological constant and torsional dark energy. |
| |
| Keywords: | covariant canonical gauge gravity DW Hamiltonian canonical transformation quadratic-linear gravity inertia of spacetime zero-energy universe cosmological constant torsional dark energy emerging length curvature-dependent fermion mass |
|
|
