Back to Search
Start Over
Composite Nambu–Jona-Lasinio inflation near infrared fixed point of the Hořava-Lifshitz theory
- Source :
- Physics Letters, Physics Letters B, Vol 797, Iss, Pp-(2019)
- Publication Year :
- 2019
- Publisher :
- Elsevier, 2019.
-
Abstract
- In this work, we first propose a cosmological scenario inherently based on the effective Nambu--Jona-Lasio (NJL) model near the infrared (IR) limit of the Ho\v{r}ava-Lifshitz (HL) theory. Having used the one-loop correction, we employ the NJL framework in the ultraviolet (UV) limit of the HL theory, with critical exponent $z=3$, to demonstrate in the IR limit that the symmetry of the potential at the critical coupling value is broken at $z=1$. We also derive the effective Higgs-like potential in the low energy regimes. Here the symmetry of the effective potential will be broken near $z=1$ at a certain value of the critical coupling. In our scenario, the scalar channel of the NJL model plays the role of a composite inflaton. We find that the Lorentz invariance (LI) appears at the IR regime of the HL theory and employ the standard inflationary (slow-roll) paradigm as a probe of physics at very high energy. We compute inflationary parameters and compare them with recent Planck 2015 data. Interestingly, we discover that the predictions of the model are in perfect agreement with the Planck analysis. Our salient feature is that we used inflation to quantify the IR and UV fixed points of the underlying theory. We discover that the IR fixed point of HL gravity is compatible with the grand unified energy scale; whilst the UV fixed point is the Planck energy scale.<br />Comment: v3: 15 pages, 2 figures, texts modified, references added, version accepted for publication by Physics Letters B
- Subjects :
- High Energy Physics - Theory
Nuclear and High Energy Physics
FOS: Physical sciences
General Relativity and Quantum Cosmology (gr-qc)
Astrophysics::Cosmology and Extragalactic Astrophysics
Fixed point
Lorentz covariance
01 natural sciences
General Relativity and Quantum Cosmology
symbols.namesake
Theoretical physics
High Energy Physics - Phenomenology (hep-ph)
0103 physical sciences
Planck
010306 general physics
Physics
Inflation (cosmology)
Planck energy
010308 nuclear & particles physics
Inflaton
lcsh:QC1-999
High Energy Physics - Phenomenology
High Energy Physics - Theory (hep-th)
symbols
Critical exponent
Ultraviolet fixed point
lcsh:Physics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Physics Letters
- Accession number :
- edsair.doi.dedup.....514d34fa7438a7c742f0813c96d764f7