On the EFT of Conformal Symmetry Breaking
arXiv:2210.01139 · doi:10.1103/PhysRevD.107.065018
Abstract
Conformal symmetry can be spontaneously broken due to the presence of a defect or other background, which gives a symmetry-breaking vacuum expectation value (VEV) to some scalar operators. We study the effective field theory of fluctuations around these backgrounds, showing that it organizes as an expansion in powers of the inverse of the VEV, and computing some of the leading corrections. We focus on the case of space-like defects in a four-dimensional Lorentzian theory relevant to the pseudo-conformal universe scenario, although the conclusions extend to other kinds of defects and to the breaking of conformal symmetry to Poincaré symmetry.
References in corpus (14)
- Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
- New Ekpyrotic Cosmology
- Galilean Genesis: an alternative to inflation
- Introduction to Effective Field Theory
- Symmetries for Galileons and DBI scalars on curved space
- Galileons as Wess-Zumino Terms
- General Embedded Brane Effective Field Theories
- Harrison--Zeldovich spectrum from conformal invariance
- DBI Realizations of the Pseudo-Conformal Universe and Galilean Genesis Scenarios
- Double-soft behavior of the dilaton of spontaneously broken conformal invariance
- Cosmological density perturbations from conformal scalar field: infrared properties and statistical anisotropy
- Exceptional scalar theories in de Sitter space
- Holography for a Non-Inflationary Early Universe
- Perturbations on and off de Sitter brane in anti-de Sitter bulk