## Abstract

We present a new mechanism of local scale symmetry breaking based on the scalar density Φ≡(1/3!)ϵμνρσ∂μAνρσ≡(1/4!)ϵμνρσFμνρσ(0) with an independent third-rank tensor Aμνρ, which replaces the scalar density Φ≡ϵμνρσϵabcd(∂μφa)(∂νφb)(∂ρφc)(∂σφd) used in "two-measure theory." We apply this function both to globally and locally scale-invariant systems. For local scale invariance, we modify Fμνρσ(0) by a certain Chern-Simons term, based on the recently developed tensor-hierarchy formulation. For a locally scale-invariant system with multiple scalars, the minimum value of the potential is realized at exactly zero value, while local scale invariance is broken by some nonzero vacuum expectation values: σi 0, Fmnrs=f0ϵmnrs≠0. For these values, the cosmological constant is maintained to be zero, despite the broken local scale invariance.

Original language | English |
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Article number | 065002 |

Journal | Physical Review D |

Volume | 95 |

Issue number | 6 |

DOIs | |

State | Published - 6 Mar 2017 |

## ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)