By Christian Friedrich Steinwachs
ISBN-10: 3319018418
ISBN-13: 9783319018416
ISBN-10: 3319018426
ISBN-13: 9783319018423
This thesis explores the concept that the Higgs boson of the normal version and the cosmological inflation are only manifestations of 1 and an analogous scalar box - the Higgs-inflation. by way of this unification strength scales which are separated through many orders of significance are hooked up, thereby construction a bridge among particle physics and cosmology. a vital element for making this version in line with observational facts is a robust non-minimal coupling to gravity. Predictions for the price of the Higgs mass in addition to for cosmological parameters are derived, and will be established through destiny experiments. the consequences develop into specially intriguing within the gentle of the lately introduced discovery of the Higgs boson.
The version of non-minimal Higgs inflation is usually utilized in a quantum cosmological context to foretell preliminary stipulations for inflation. those effects can in flip be established by way of the detection of primordial gravitational waves.
The presentation contains all introductory fabric approximately cosmology and the normal version that's crucial for the extra figuring out. It additionally offers an creation to the mathematical tools used to calculate the potent motion via warmth kernel methods.
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Extra info for Non-minimal Higgs Inflation and Frame Dependence in Cosmology
Example text
Substituting ˙ , we finally obtain the nearly scale invariant power spectrum z = a ϕ /H = a ϕ/H H 2π PR (k) = P (k) H 2π 2 H ϕ˙ 2 H ϕ˙ 2 2 k=a H = k aH 3−2 νs V (ϕ) 24 π 2 MP4 εv k=a H . 135) In the second identity, we have used again the fact that the comoving curvature perturbations are constant in the super-horizon regime. This allows us to evaluate them at the point where they leave the Hubble radius k = a H since they remain unchanged until they re-enter again. In the last identity we have used the slow-roll approximation to rewrite PR in terms of the inflaton potential.
Fig. 13 Inflation in the physical picture. The physical Hubble radius remains constant, while the physical wavelength gets stretched. The black horizontal pattern represents a homogeneous patch, while the red vertical pattern represent different patches. 103) can be dropped and we recover the oscillating equation of flat space-time with the plane wave solutions 1 vk (η) ∝ √ e−i k η 2k for λp rHp . 118) This is consistent because we would not expect curvature (expansion of space-time) to play a role for scales λp much smaller than rHp .
135), we define the spectral index n s − 1 := d ln PR (k) = 3 − 2 νs = 2δ − 4ε = 2δv − 6εv . 136) in terms of the slowroll parameters expressed in terms of the potential. 98). 89). 5 Horizon Crossing and Observable Quantities 39 Tensor modes are gravitational waves and have two polarizations εi+j and εi×j . 138) √ with z = a MP / 8 π. 133) is given by 1 9 a 3 + = + 3 ε ⇒ νt = + ε + O(2). 133) yields νt2 = η 2 8 π k3 |vk (η)|2 MP2 a 2 2 π 2 Ph (k) := 4 Ph +/× (k) := 4 16 G 2 H π k=a H 16 π H MP .
Non-minimal Higgs Inflation and Frame Dependence in Cosmology by Christian Friedrich Steinwachs
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