BubbleDet: A Python package to compute functional determinants for bubble nucleation

Abstract

We present a Python package, BubbleDet, for computing one-loop functional determinants around spherically symmetric background fields. This gives the next-to-leading order correction to both the vacuum decay rate, at zero temperature, and to the bubble nucleation rate in first-order phase transitions at finite temperature. For predictions of gravitational wave signals from cosmological phase transitions, this is expected to remove one of the leading sources of theoretical uncertainty. BubbleDet is applicable to arbitrary scalar potentials and in any dimension up to seven. It has methods for fluctuations of scalar fields, including Goldstone bosons, and for gauge fields, but is limited to cases where the determinant factorises into a product of separate determinants, one for each field degree of freedom. To our knowledge, BubbleDet is the first package dedicated to calculating functional determinants in spherically symmetric background

Added a few comments and clarifications

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• PhaseTracer2: from the effective potential to gravitational waves
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• A-B transition in superfluid ${}^3$He and cosmological phase transitions
• Thermodynamical uncertainties for primordial black holes from cosmological phase transitions
• Bubble Trouble: a Review on Electroweak Baryogenesis
• Interpreting the 95 GeV resonance in the Two Higgs Doublet Model: Implications for the Electroweak Phase Transition
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• False vacuum decay beyond the quadratic approximation: summation of non-local self-energies
• Reconstructing early universe evolution with gravitational waves from supercooled phase transitions
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• Flow-based Nonperturbative Simulation of First-order Phase Transitions
• Running Couplings in High-Temperature Effective Field Theory
• Gravitational waves from a first-order phase transition of the inflaton
• Piecewise linear potentials for false vacuum decay and negative modes
• A Catalog of First-Order Electroweak Phase Transitions in the Standard Model Effective Field Theory
• On equivalent methods for functional determinants