# Generalised escape paths for dynamical tunneling in QFT

## TL;DR

This paper develops a formalism using the functional Schrödinger equation to analyze time-dependent tunneling in quantum field theory, simplifying the problem to a quantum mechanical setup and applying the WKB approximation.

## Contribution

It introduces a novel semi-classical formalism for studying dynamical tunneling in QFT, reducing the problem to a finite-dimensional quantum mechanics framework.

## Key findings

- Successfully applied the method to tunneling from an oscillating initial state
- Provides a systematic way to analyze time-dependent tunneling in QFT
- Bridges quantum field theory and quantum mechanics techniques

## Abstract

We present a formalism based on the functional Schr\"odinger equation to analyse time-dependent tunneling in quantum field theory at the semi-classical level. The full problem is reduced step by step to a finite dimensional quantum mechanical setup and solved using the WKB approximation. As an example, we consider tunneling from a homogeneous oscillating initial state in scalar quantum field theory.