The master thesis addresses the phenomenon of false vacuum decay in quantum field theories. The bounce solution describes the most probable tunneling path between the false vacuum and the true vacuum, but in general, it cannot be obtained analytically and thus numerical methods are employed. I developed a package in Python called $\textit{PyBounce}$, which implements the polygonal method for computing the bounce solution and the corresponding Euclidean action in dimensions $D=2,3,4$. Existing publicly available tools mostly use shooting numerical methods, which have shortcomings in path convergence in the multi-field case and in calculations in the thin-wall limit. These shortcomings are resolved by using the polygonal method, which was first implemented in the tool $\textit{FindBounce}$. $\textit{PyBounce}$ improves upon $\textit{FindBounce}$ by offering greater stability, the added capability of iteration for the extended bounce, and an entirely new and original option for calculations in $D=2$.
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