Lorentz-covariant four-vector formalism for two-measure theory

Eduardo Guendelman, Hitoshi Nishino, Subhash Rajpoot

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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.

Original languageEnglish
Article number027702
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number2
StatePublished - 7 Jan 2013

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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