TY  - JOUR
A1  - Struckmeier, Jürgen
A1  - Vasak, David
T1  - Covariant canonical gauge theory of gravitation for fermions
T2  - Astronomische Nachrichten
N2  - 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 to require the form-invariance of the fermion action under diffeomorphisms. The derivation is worked out in the Hamiltonian formalism as a canonical transformation along the line of non-Abelian gauge theories. This yields a closed set of field equations for fermions, unambiguously fixing their coupling to dynamical space–time. We encounter, in addition to the well-known minimal coupling, anomalous couplings to curvature and torsion. In torsion-free geometries that anomalous interaction reduces to a Pauli-type coupling with the curvature scalar via a spontaneously emerged new coupling constant with the dimension of mass. A consistent model Hamiltonian for the free gravitational field and the impact of its functional form on the structure of the dynamical geometry space–time is discussed.
KW  - canonical transformation
KW  - emerging mass parameter
KW  - extended Einstein gravity
KW  - fermion
KW  - gauge theory
KW  - gravitation
KW  - torsion
Y1  - 2021
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/62647
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-626476
SN  - 1521-3994
N1  - The authors are indebted to the “Walter Greiner-Gesellschaft e.V.” in Frankfurt for its support. DV is grateful for support from the Fueck Foundation. Open Access funding enabled and organized by Projekt DEAL.
VL  - 342
IS  - 5
SP  - 745
EP  - 764
PB  - Wiley-VCH Verl.
CY  - Berlin
ER  -