Abstract
Many of the methods proposed so far to go beyond Standard Perturbation Theory break invariance under time-dependent boosts (denoted here as extended Galilean Invariance, or GI). This gives rise to spurious large scale effects which spoil the small scale predictions of these approximation schemes. By using consistency relations we derive fully non-perturbative constraints that GI imposes on correlation functions. We then introduce a method to quantify the amount of GI breaking of a given scheme, and to correct it by properly tailored counterterms. Finally, we formulate resummation schemes which are manifestly GI, discuss their general features, and implement them in the so called Time-Flow, or TRG, equations.
| Original language | English (US) |
|---|---|
| Article number | 056 |
| Journal | Journal of Cosmology and Astroparticle Physics |
| Volume | 2017 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 27 2017 |
Bibliographical note
Funding Information:M. Pietroni acknowledges support from the European Union Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreements Invisible- sPlus RISE No. 690575, Elusives ITN No. 674896 and Invisibles ITN No. 289442. The work of M. Peloso was supported in part by DOE grant de-sc0011842 at the University of Minnesota.
Publisher Copyright:
© 2017 IOP Publishing Ltd and Sissa Medialab srl.
Keywords
- Cosmological perturbation theory
- Power spectrum