Unequal vacuum selection probabilities
Published on:
8 May 2024
Primary Category:
High Energy Physics - Theory
Paper Authors:
Tian-Chi Ma,
Han-Qing Shi,
Hai-Qing Zhang
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Key Details
If a potential's top is C1 continuous, rolling left/right probabilities depend on 2nd derivatives there
Fokker-Planck equations give theoretical formula for unequal vacuum selection probabilities
Higgs-type and cosine-type potentials numerically confirm the theory
May explain origins of cosmic asymmetries like matter/antimatter
Robust against parameter changes showing universality
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AI generated summary
Unequal vacuum selection probabilities
This paper studies how a field sitting at the top of a potential can roll down to the left or right side with unequal probabilities, if the top of the potential is only C1 continuous. Using Fokker-Planck equations, they show the probability depends on the square root of the 2nd derivative on each side. Numerical simulations verify the theory. This may explain cosmic asymmetries.
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