Efficient numerical solution to vacuum decay with many fields

Understand

Finding numerical solutions describing bubble nucleation is notoriously difficult in more than one field space dimension.

• Traditional shooting methods fail because of the extreme non-linearity of field evolution over a macroscopic distance as a function of initial conditions.
• Minimization methods tend to become either slow or imprecise for larger numbers of fields due to their dependence on the high dimensionality of discretized function spaces.
• We present a new method for finding solutions which is both very efficient and able to cope with the non-linearities.