Simple Gradient Flow Equation for the Bounce Solution

Understand

Motivated by the recent work of Chigusa, Moroi, and Shoji, we propose a new simple gradient flow equation to derive the bounce solution which contributes to the decay of the false vacuum.

• Our discussion utilizes the discussion of Coleman, Glaser, and Martin and we solve a minimization problem of the kinetic energy while fixing the potential energy.
• The bounce solution is derived as a scale-transformed of the solution of this problem.
• We also show that the convergence of our method is robust against a choice of the initial configuration.