Local Conformal Symmetry in Physics and Cosmology

Itzhak Bars, Paul Steinhardt, Neil Turok

Research output: Contribution to journalArticlepeer-review


We show how to lift a generic non-scale invariant action in Einstein frame into a locally conformally-invariant (or Weyl-invariant) theory and present a new general form for Lagrangians consistent with Weyl symmetry. Advantages of such a conformally invariant formulation of particle physics and gravity include the possibility of constructing geodesically complete cosmologies. We present a conformal-invariant version of the standard model coupled to gravity, and show how Weyl symmetry may be used to obtain unprecedented analytic control over its cosmological solutions. Within this new framework, generic FRW cosmologies are geodesically complete through a series of big crunch - big bang transitions. We discuss a new scenario of cosmic evolution driven by the Higgs field in a \textquotedblleft minimal\textquotedblright% \ conformal standard model, in which there is no new physics beyond the standard model at low energies, and the current Higgs vacuum is metastable as indicated by the latest LHC data.
Original languageEnglish
Article number043515
JournalPhysical Review D
Issue number4
Publication statusPublished - 19 Feb 2014


  • hep-th
  • astro-ph.CO
  • gr-qc
  • hep-ph


Dive into the research topics of 'Local Conformal Symmetry in Physics and Cosmology'. Together they form a unique fingerprint.

Cite this