higgs inflationapwsw2019/lee.pdfhiggs inflation and the refined ds conjecture lee sung mook (yonsei...
TRANSCRIPT
Higgs Inflationand
the Refined dS Conjecture
Lee Sung Mook (Yonsei U.)イ・ソンムク
arXiv:1811.03622Phys.Lett.B789 (2019) 336-340
In collaboration withCheong Dhong Yeon (Yonsei U.), Park Seong Chan (Yonsei U.)
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 1
Contents
Higgs Inflation
De Sitter Conjecture
Analysis & Results
Summary
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 2
Higgs Inflation
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 3
Inflationary Cosmology – Why Inflation?
• “A theory of exponential expansion of space in the early universe”
• Horizon & Flatness Problem
• Initial Fluctuations → Large Scale Structure
• Each Inflation model has an expected values of spectral index(𝑛𝑛𝑠𝑠)
and scalar to tensor ration(𝑟𝑟).
- Wikipedia
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 4
Inflationary Cosmology – Why Inflation?
• Slow roll parameters
• Relations between &
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 5
Higgs Inflation
• “The Standard Model Higgs boson as the inflaton”[Fedor Bezrukov, Mikhail Shaposhnikov (2008)]
• Non-minimal coupling to Ricci scalar is assumed.
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 6
arXiv:0710.3755
Higgs InflationUnitary gauge
RemovingNon-minimal Coupling
Weyl Transformation
Field Redefinition
Canonical kinetic term
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 7
Higgs Inflation
Inflationary predictions :
[Fedor Bezrukov, Mikhail Shaposhnikov, 2008]
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 8
De Sitter Conjecture
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 9
Swampland Conjecture• For a quantum gravity theory (string theory) to be consistent with low energy effective theory (standard model), so-called Swampland Conjecture has to be satisfied.
[Gary Shiu, “QG and the Swampland”]
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 10
[C. Vafa (2005)]
“consistent-looking semiclassical effective field theories,
which are actually inconsistent.”
arXiv:hep-th/0509212
de Sitter(dS) Derivative Conjecture
• (Refined) de Sitter derivative conjecture
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 11
OR[H. Ooguri, E. Palti, G. Shiu, and C. Vafa (2018)]
[G. Obied, H. Ooguri, L. Spodyneiko, and C. Vafa (2018)]
Black hole entropy argumentDistance conjecture
De Sitter spaceIn quantum gravity
arXiv:1806.08362
arXiv:1810.05506
Analysis & Results
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 12
REMINDER
Bound from the Observation
Equivalently,
De Sitter conjecture ⇔ Slow roll parameters
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 13
Bound from the Observation
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 14
Bound from the Observation
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 15
Bound from the Observation
“SWAMPLAND”
“LANDSCAPE”
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 16
[DY Cheong, SML, SC Park (2019)]
Bound from the Higgs inflation
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 17
For 60(50) e-folds,
Condition1.
Condition2.
Bound from the Higgs inflation
[Case1]
[Case2]
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 18
Results & Implications[DY Cheong, SML, SC Park (2019)]
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 19
𝑐𝑐1 & 𝑐𝑐2~𝑂𝑂 1 is not satisfied simultaneously just from the observation
Requirement of 𝑐𝑐2~𝑂𝑂 1 is not strict→ Still possible to be in the landscape
In HI case, absolute bound for 𝑐𝑐1 is ~1.6
Adding Condition2 is crucial for HI to be in the landscape
Summary
Recently proposed dS conjecture provides the direct criterion for the consistency between QG and the low energy effective theories.
Slow-roll single field Inflation models can be in the landscape region, although it is in the disfavored region. ( 𝑐𝑐2~𝑂𝑂 0.01 )
→ More precise statement/argument is demanded.
Other inflationary models (e.g. quintessence, multi-field inflation) arealso needed to be considered.
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 20
THANK YOU!ありがとうございます
2019-02-112019 YITP Asian-Pacific Winter School and Workshop
on Gravitation and Cosmology 21