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arXiv · hep-th/0212152

Non-perturbative approach for the time-dependent symmetry breaking

Hyeong-Chan Kim·Jae Hyung Yee
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Abstract

We present a variational method which uses a quartic exponential function as a trial wave-function to describe time-dependent quantum mechanical systems. We introduce a new physical variable $y$ which is appropriate to describe the shape of wave-packet, and calculate the effective action as a function of both the dispersion $\sqrt{< \hat{q}^2>}$ and $y$. The effective potential successfully describes the transition of the system from the false vacuum to the true vacuum. The present method well describes the long time evolution of the wave-function of the system after the symmetry breaking, which is shown in comparison with the direct numerical computations of wave-function.

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Hyeong-Chan Kim, Jae Hyung Yee. 2003-10-13. Non-perturbative approach for the time-dependent symmetry breaking. https://doi.org/10.1103/physrevd.69.025003

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