R. Utiyama, “On Weyl’s Gauge Field,” Progress of Theoretical Physics, Vol. 50, No. 6, 1973, pp. 2080-2090. doi:10.1143/PTP.50.2080

has been cited by the following article:

• TITLE: Dirac-Born-Infeld-Einstein Theory with Weyl Invariance

  AUTHORS: Takuya Maki, Nahomi Kan, Kiyoshi Shiraishi

  KEYWORDS: Modified Theories of Gravity; Weyl Invariance; Inflation

  JOURNAL NAME: Journal of Modern Physics, Vol.3 No.9, September 25, 2012

  ABSTRACT: Weyl invariant gravity has been investigated as the fundamental theory of the vector inflation. Accordingly, we consider a Weyl invariant extension of Dirac-Born-Infeld type gravity. We find that an appropriate choice of the metric removes the scalar degree of freedom which is at the first sight required by the local scale invariance of the action, and then a vector field acquires mass. Then non-minimal couplings of the vector field and curvatures are induced. We find that the Dirac-Born-Infeld type gravity is a suitable theory to the vector inflation scenario.