Self-consistent bounces in two dimensions

Abstract

We compute bounce solutions describing false vacuum decay in a Phi**4 model in two dimensions in the Hartree approximation, thus going beyond the usual one-loop corrections to the decay rate. We use zero energy mode functions of the fluctuation operator for the numerical computation of the functional determinant and the Green's function. We thus avoid the necessity of discretizing the spectrum, as it is necessary when one uses numerical techniques based on eigenfunctions. Regularization is performed in analogy of standard perturbation theory; the renormalization of the Hartree approximation is based on the two-particle point-irreducible (2PPI) scheme. The iteration towards the self-consistent solution is found to converge for some range of the parameters. Within this range we find the corrections to the leading one-loop approximation to be relatively small, not exceeding one order of magnitude in the total transition rate.

30 pages, 12 figures

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• Self-consistent solitons for vacuum decay in radiatively generated potentials
• Green's function method for handling radiative effects on false vacuum decay
• False vacuum decay rates, more precisely
• False vacuum decay by self-consistent bounces in four dimensions
• Quantum fluctuations around low-dimensional topological defects
• Self-consistent radiative corrections to false vacuum decay
• False vacuum decay beyond the quadratic approximation: summation of non-local self-energies
• Tunneling in a quantum field theory on a compact one-dimensional space