Up to now we have introduced a fractional derivative definition for special simple function
classes. In the following section we will present common generalizations for arbitrary …

In this paper, we review classical and quantum field theory of massive non-interacting spin-
two fields. We derive the equations of motion and Fierz–Pauli constraints via three different …

In this paper, the generic part of the gauge theory of gravity is derived, based merely on the
action principle and on the general principle of relativity. We apply the canonical …

This paper is devoted to the analysis of the covariant canonical formalism of F (R) gravity in
Einstein frame. We also find canonical transformation between covariant canonical …

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 …

The generic form of space-time dynamics as a classical gauge field theory has recently been
derived, based on only the action principle and on the principle of general relativity. It was …

Abstract The Lagrangians and Hamiltonians of classical field theory require to comprise
gauge fields in order to be form-invariant under local gauge transformations. These gauge …

We’re sorry, something doesn't seem to be working properly. Please try refreshing the page. If
that doesn't work, please contact support so we can address the problem. We’re sorry …

It is widely accepted that the fundamental geometrical law of nature should follow from an
action principle. The particular subset of transformations of a system's dynamical variables …

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 …