False vacuum decay beyond the quadratic approximation: summation of non-local self-energies
arXiv:2411.18421 · doi:10.1103/PhysRevD.111.085002
Abstract
Using the 2PI effective action formalism, we study false vacuum decay beyond the quadratic approximation of the path integral. We derive a coupled system of equations for the bounce and the propagator, and we compute a semi-analytic expression for the self-energy of a real scalar field with cubic and quartic interactions from the 2PI effective action truncated at two loops and without further approximations. Deriving numerical results, we can show that the Hartree approximation, where non-local contributions to the self-energy are neglected, is generally not justified. The procedure we develop is a key step towards the explicit computation of the quantum corrected bounce, the determinant of fluctuations about it and the decay rate in the presence of classical zero-modes that are lifted by quantum effects, e.g. classically scale-invariant models relevant for assessing the Higgs stability.
arXiv comment19 pages, 6 figures, plus appendices. The latest version matches the published one
References in corpus (19)
- Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
- Detecting gravitational waves from cosmological phase transitions with LISA: an update
- Introduction to Nonequilibrium Quantum Field Theory
- On the metastability of the Standard Model vacuum
- Nonperturbative renormalization for 2PI effective action techniques
- Scale Invariant Instantons and the Complete Lifetime of the Standard Model
- Precision decay rate calculations in quantum field theory
- A direct approach to quantum tunneling
- BubbleDet: A Python package to compute functional determinants for bubble nucleation
- Symmetry Improved CJT Effective Action
- Observation of false vacuum decay via bubble formation in ferromagnetic superfluids
- Self-consistent solitons for vacuum decay in radiatively generated potentials
- Constraining the effective action by a method of external sources
- Tunneling Without Bounce
- Real-time dynamics of false vacuum decay
- Fluctuations about the Fubini-Lipatov instanton for false vacuum decay in classically scale invariant models
- The self-consistent bounce: an improved nucleation rate
- Self-consistent bounces in two dimensions
- False vacuum decay by self-consistent bounces in four dimensions