In the conventional two-measure theory, the scalar density function Φ is taken to be Φ≡ÏμμνρσÏμ abcd(∂μφa)(∂νφb) (∂ρφc)(∂σφd), where the indices a,b,c,d=1, 2, 3, 4 are internal-space indices. It is more natural to replace the four scalars φa by a Lorentz-covariant four-vector φm with a local Lorentz index m=(0), (1), (2), (3). We entertain this possibility, and show that the newly proposed Lagrangian respects not only Lorentz covariance, but also global-scale invariance. The crucial equation ∂μL=0 in the conventional two-measure theory also arises in our new formulation, as the φm-field equation.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|State||Published - 7 Jan 2013|
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)