Currents in a theory of strong interaction based on a fiber bundle geometry

Foundations of Physics 7 (9-10):629-671 (1977)
  Copy   BIBTEX


A fiber bundle constructed over spacetime is used as the basic underlying framework for a differential geometric description of extended hadrons. The bundle has a Cartan connection and possesses the de Sitter groupSO(4, 1) as structural group, operating as a group of motion in a locally defined space of constant curvature (the fiber) characterized by a radius of curvatureR≈10−13 cm related to the strong interactions. A hadronic matter field ω(x, ζ) is defined on the bundle space, withx the spacetime coordinate and ζ varying in the local fiber. The components of a generalized tensor current ℑ μab (M) (x) are introduced, involving a bilinear expression in the fields ω(x, ζ) and ωΔ(x, ζ) integrated over the local fiber at the pointx. This hadronic matter current is considered as a source current for the underlying fiber geometry by coupling it in a gauge-invariant manner to the curvature expressions derived from the bundle connection coefficients, which are associated here with strong interaction effects, i.e., play the role of meson fields induced in the geometry. Studying discrete symmetry transformations between the 16 differently soldered Cartan bundles, a generalized matter-antimatter conjugation Ĉ is established which leaves the basic current-curvature equations Ĉ-invariant. The discrete symmetry transformation Ĉ turns out to be the direct product of an ordinary charge conjugation for the Dirac point-spinor part of ω(x, ζ) and an internal $\hat P\hat T$ transformation applied globally on the bundle to the fiber (i.e., de Sitter) part of ω(x, ζ)



    Upload a copy of this work     Papers currently archived: 74,569

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Modified Weyl Theory and Extended Elementary Objects.W. Drechsler - 1989 - Foundations of Physics 19 (12):1479-1497.
Classical Versus Quantum Gravity.Wolfgang Drechsler - 1993 - Foundations of Physics 23 (2):261-276.
Geometrie Und Materie — Ist Einsteins Vision Übertragbar Auf Die Elementarteilchenphysik?Wolfgang Drechsler - 1984 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 15 (1):1-21.
Spacetime as a Fundamental and Inalienable Structure of Fields.Y. S. - 2001 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 32 (2):205-215.
Connections and Geodesics in the Spacetime Tangent Bundle.Howard E. Brandt - 1991 - Foundations of Physics 21 (11):1285-1295.
Finsler Geometry and Relativistic Field Theory.R. G. Beil - 2003 - Foundations of Physics 33 (7):1107-1127.
The Gauge Argument.Paul Teller - 2000 - Philosophy of Science 67 (3):481.
Gravitation Theory in the spacetimeR×S 3.G. Zet, C. Pasnicu & M. Agop - 1991 - Foundations of Physics 21 (4):473-481.


Added to PP

16 (#662,686)

6 months
1 (#418,511)

Historical graph of downloads
How can I increase my downloads?