Exact tunnelling solutions in scalar field theory

Duncan, Malcolm J.; Jensen, Lars Gerhard

doi:10.1016/0370-2693(92)90128-q

Cited by 135 publications

(217 citation statements)

References 3 publications

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“…At the semi-classical level, the decay probability is proportional to e −S where S is the Euclidean action for the decay process. Using the formula in [24], we find…”

Section: Supersymmetric Vacua and Decay Rates Of Meta-stable Vacuamentioning

confidence: 99%

Landscape of supersymmetry breaking vacua in geometrically realized gauge theories

2006

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We study vacuum structure of N = 1 supersymmetric quiver gauge theories which can be realized geometrically by D brane probes wrapping cycles of local Calabi-Yau threefolds. In particular, we show that the A 2 quiver theory with gauge group U (N 1 ) × U (N 2 ) with 1 2 N 1 < N 2 < 2 3 N 1 has a regime with an infrared free description that is partially magnetic and partially electric. Using this dual description, we show that the model has a landscape of inequivalent meta-stable vacua where supersymmetry is dynamically broken and all the moduli are stabilized. Each vacuum has distinct unbroken gauge symmetry. The gaugino masses are generated by radiative corrections, and we are left with the bosonic pure Yang-Mills theory in the infrared. We also identify the supersymmetric vacua in this model using their infrared free descriptions and show that the decay rates of the supersymmetry breaking vacua can be made parametrically small.

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“…At the semi-classical level, the decay probability is proportional to e −S where S is the Euclidean action for the decay process. Using the formula in [24], we find…”

Section: Supersymmetric Vacua and Decay Rates Of Meta-stable Vacuamentioning

confidence: 99%

Landscape of supersymmetry breaking vacua in geometrically realized gauge theories

2006

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“…As a very crude estimate of the lifetime of the metastable vacuum, we can parametrize the potential using the triangular approximation [25], neglecting the direction in field space along the Y direction, which is always closer to the ISS vacuum, given the bound (3.19). The bounce action is parametrically given by [26,15,25]…”

Section: Vacuum Decaymentioning

confidence: 99%

UV completions of composite Higgs models with partial compositeness

Caracciolo

Parolini

Serone

2013

J. High Energ. Phys.

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We construct UV completions of bottom-up models with a pseudo Nambu-Goldstone Boson (NGB) composite Higgs and partial compositeness, admitting a weakly coupled description of the composite sector. This is identified as the low energy description of an SO(N ) supersymmetric gauge theory with matter fields in the fundamental of the group. The Higgs is a NGB associated to an SO(5)/SO(4) coset of a global symmetry group and is identified with certain components of matter fields in a Seiberg dual description of the theory. The Standard Model (SM) gauge fields are obtained by gauging a subgroup of the global group. The mass mixing between elementary SM and composite fermion fields advocated in partial compositeness arise from the flow in the IR of certain trilinear Yukawa couplings defined in the UV theory. We explicitly construct two models of this kind. Most qualitative properties of the bottom-up constructions are derived. The masses of gauge and fermion resonances in the composite sector are governed by different couplings and can naturally be separated. Accommodating all SM fermion masses within the partial compositeness paradigm remains the main open problem, since the SM gauge couplings develop Landau poles at unacceptably low energies.

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“…In this numerical calculation, we take the square potential approximation in Ref. [7]. In the limit of ∆V + → 0, the result of this approximation Eq.…”

Section: False Vacuummentioning

confidence: 99%

“…Since ∆V + ≪ ∆V − in our model, this approximation is appropriate rather than "triangle" [7] or "thin-wall" approximation [9].…”

Section: False Vacuummentioning

confidence: 99%

False vacuum in the supersymmetric mass varying neutrinos model

Takahashi

Tanimoto

2008

Phys. Rev. D

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We present detailed analyses of the vacuum structure of the scalar potential in a supersymmetric Mass Varying Neutrinos model. The observed dark energy density is identified with false vacuum energy and the dark energy scale of order (10 −3 eV) 4 is understood by gravitationally suppressed supersymmetry breaking scale, F (TeV) 2 /M Pl , in the model. The vacuum expectation values of sneutrinos should be tiny in order that the model works. Some decay processes of superparticles into acceleron and sterile neutrino are also discussed in the model.

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Exact tunnelling solutions in scalar field theory

Cited by 135 publications

References 3 publications

Landscape of supersymmetry breaking vacua in geometrically realized gauge theories

Landscape of supersymmetry breaking vacua in geometrically realized gauge theories

UV completions of composite Higgs models with partial compositeness

False vacuum in the supersymmetric mass varying neutrinos model

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