Computes the dimensionless spin parameter s = J/(G_N M^2) of false vacuum bubbles from density and velocity perturbations in FOPTs, yielding values from O(10^{-5}) to O(10) and a scaling relation with FOPT timescale, wall velocity, and temperature ratio.
General Solutions for Tunneling of Scalar Fields with Quartic Potentials
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
abstract
For the theory of a single scalar field $\varphi$ with a quartic potential $V(\varphi)$, we find semi-analytic expressions for the Euclidean action in both four and three dimensions. The action in four dimensions determines the quantum tunneling rate at zero temperature from a false vacuum state to the true vacuum state; similarly, the action in three dimensions determines the thermal tunneling rate for a finite temperature theory. We show that for all quartic potentials, the action can be obtained from a one parameter family of instanton solutions corresponding to a one parameter family of differential equations. We find the solutions numerically and use polynomial fitting formulae to obtain expressions for the Euclidean action. These results allow one to calculate tunneling rates for the entire possible range of quartic potentials, from the thin-wall (nearly degenerate) limit to the opposite limit of vanishing barrier height. We also present a similar calculation for potentials containing $\varphi^4 \ln \varphi^2$ terms, which arise in the one-loop approximation to the effective potential in electroweak theory.
citation-role summary
background 2
citation-polarity summary
verdicts
UNVERDICTED 4roles
background 2polarities
background 2representative citing papers
Large initial baryon asymmetry allows Hubble patches to collapse into primordial neutron stars arrested by nuclear pressure, requiring later entropy dilution to match observed Y_B and BBN.
Bubble collisions during a first-order phase transition at the end of inflation can generate the observed dark matter abundance in a restricted region of parameter space via direct production and spectator decays.
In a B-L conserving SM extension with U(1)_x dark sector, CP-violating Yukawas generate opposite lepton asymmetries in visible and hidden sectors that sphalerons convert to baryon asymmetry, with gauge-independent bubble nucleation yielding stochastic GW spectra valid in supercooled regimes and a参数s
citing papers explorer
-
Angular momentum of vacuum bubbles in a first-order phase transition
Computes the dimensionless spin parameter s = J/(G_N M^2) of false vacuum bubbles from density and velocity perturbations in FOPTs, yielding values from O(10^{-5}) to O(10) and a scaling relation with FOPT timescale, wall velocity, and temperature ratio.
-
Primordial Neutron Stars
Large initial baryon asymmetry allows Hubble patches to collapse into primordial neutron stars arrested by nuclear pressure, requiring later entropy dilution to match observed Y_B and BBN.
-
Dark Matter Production from Bubble Collisions during a First-Order Phase Transition at the End of Inflation
Bubble collisions during a first-order phase transition at the end of inflation can generate the observed dark matter abundance in a restricted region of parameter space via direct production and spectator decays.
-
Gauge-independent Gravitational Waves from Cogenesis in a $B-L$ Conserving Universe
In a B-L conserving SM extension with U(1)_x dark sector, CP-violating Yukawas generate opposite lepton asymmetries in visible and hidden sectors that sphalerons convert to baryon asymmetry, with gauge-independent bubble nucleation yielding stochastic GW spectra valid in supercooled regimes and a参数s