Local scale invarlance and gravitation

✍ Scribed by Peter G.O Freund

• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 864 KB
• Volume: 84
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(74)90310-8

✦ Synopsis

A gauge field theory of (local) scale invariance is constructed. When coupled to gravity it yields the old theory of Weyl. A Brans-Dicke scalar field is introduced & la Dbac. With a suitable choice of parameters the theory then reduces in a special gauge to Einstein's theory even in the presence of matter. If the gauge field of scaling (even under charge conjugation) is identified with the gauge field of an internal symmetry, a (spontaneous) breakdown of charge conjugation invariance (and of CP) can follow. This effect has a reasonable order of magnitude if gravity is replaced by strong gravity and the internal charge identified with lepton number of baryon number, or some neutral weak charge. Certain difficulties arise, however, if one insists on the Weyl identification of the gauge field of scaling with the electromagnetic field.

It is shown that the observed tensor mesons (f; f', etc.), while basic in tensor meson dominance, are not the quanta of a gauge field of strong gravity.