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Gauge independence of the bubble nucleation rate in theories with radiative symmetry breaking

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abstract

In field theories where a metastable false vacuum state arises as a result of radiative corrections, the calculation of the rate of false vacuum decay by bubble nucleation depends on the effective potential and the other functions that appear in the derivative expansion of the effective action. Beginning with the Nielsen identity, we derive a series of identities that govern the gauge dependence of these functions. Using these, we show, to leading nontrivial order, that even though these functions are individually gauge-dependent, one obtains a gauge-independent result for the bubble nucleation rate. Our formal arguments are complemented by explicit calculations for scalar electrodynamics in a class of $R_\xi$ gauges.

fields

hep-ph 1

years

2025 1

verdicts

UNVERDICTED 1

representative citing papers

Gauge-independent Gravitational Waves from Cogenesis in a $B-L$ Conserving Universe

hep-ph · 2025-10-15 · unverdicted · novelty 4.0

In a B-L conserving SM extension with U(1)_x dark sector, CP-violating Yukawas generate opposite lepton asymmetries in visible and hidden sectors that sphalerons convert to baryon asymmetry, with gauge-independent bubble nucleation yielding stochastic GW spectra valid in supercooled regimes and a参数s

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  • Gauge-independent Gravitational Waves from Cogenesis in a $B-L$ Conserving Universe hep-ph · 2025-10-15 · unverdicted · none · ref 79 · internal anchor

    In a B-L conserving SM extension with U(1)_x dark sector, CP-violating Yukawas generate opposite lepton asymmetries in visible and hidden sectors that sphalerons convert to baryon asymmetry, with gauge-independent bubble nucleation yielding stochastic GW spectra valid in supercooled regimes and a参数s