Struckmeier, J. and Muench, J. and Liebrich, P. and Iianauske, M. and Kirsch, J. and Vasak, D. and Satarov, L. and Stoecker, H. (2019) Canonical transformation path to gauge theories of gravity-II: Space-time coupling of spin-0 and spin-1 particle fields. INTERNATIONAL JOURNAL OF MODERN PHYSICS E, 28 (1-2): 1950007. ISSN 0218-3013, 1793-6608
Full text not available from this repository. (Request a copy)Abstract
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 thus shown that Einstein's general relativity is the special case where (i) the Hilbert Lagrangian (essentially the Ricci scalar) is supposed to describe the dynamics of the "free" (uncoupled) gravitational field, and (ii) the energy-momentum tensor is that of scalar fields representing real or complex structureless (spin-0) particles. It followed that all other source fields - such as vector fields representing massive and nonmassive spin-1 particles - need careful scrutiny of the appropriate source tensor. This is the subject of our actual paper: we discuss in detail the coupling of the gravitational field with (i) a massive complex scalar field, (ii) a massive real vector field, and (iii) a massless vector field. We show that different couplings emerge for massive and nonmassive vector fields. The massive vector field has the canonical energy-momentum tensor as the appropriate source term - which embraces also the energy density furnished by the internal spin. In this case, the vector fields are shown to generate a torsion of space-time. In contrast, the system of a massless and charged vector field is associated with the metric (Hilbert) energy momentum tensor due to its additional U(1) symmetry. Moreover, such vector fields do not generate a torsion of space-time. The respective sources of gravitation apply for all models of the dynamics of the "free" (uncoupled) gravitational field -which do not follow from the gauge formalism but must he specified based on separate physical reasoning.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MATTER; Modified theories of gravity; gauge field theory; covariant Hamiltonian formulation |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Gunnar Bali Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Dirk Pleiter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Apr 2020 06:09 |
| Last Modified: | 22 Apr 2020 06:09 |
| URI: | https://pred.uni-regensburg.de/id/eprint/27582 |
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